SRS Labs SIM960 Operation And Service Manual

Operation and Service Manual
Analog PID Controller
SIM960
Stanford Research Systems
Revision 2.3 October 10, 2013
Distribution in the UK & Ireland
Lambda Photometrics Limited
E: info@lambdaphoto.co.uk W: www.lambdaphoto.co.uk T: +44 (0)1582 764334 F: +44 (0)1582 712084
Characterisation, Measurement & Analysis
Certification
Stanford Research Systems certifies that this product met its published specifications at the time of shipment.
Warranty
This Stanford Research Systems product is warranted against defects in materials and workman­ship for a period of one (1) year from the date of shipment.
Service
For warranty service or repair, this product must be returned to a Stanford Research Systems authorized service facility. Contact Stanford Research Systems or an authorized representative before returning this product for repair.
Information in this document is subject to change without notice. Copyrightc Stanford Research Systems, Inc., 2003 – 2013. All rights reserved.
Stanford Research Systems, Inc. 1290–D Reamwood Avenue Sunnyvale, CA 94089 USA Phone: (408) 744-9040 Fax: (408) 744-9049
www.thinkSRS.com e-mail: info@thinkSRS.com
Printed in U.S.A. Document number 9-01558-903
SIM960 Analog PID Controller
Contents
General Information iii
Safety and Precautions for Use ................ iii
Symbols ............................. iv
Notation ............................. v
Specifications .......................... vi
1 Getting Started 1 – 1
1.1 General ........................... 1–2
1.2 Front Panel Operation .................. 1–2
1.3 Rear Panel Monitoring .................. 1–7
1.4 SIM Interface ........................ 1–8
2 Advanced Topics 2 – 1
2.1 PID Tuning Basics ..................... 2–2
2.2 Ziegler-Nichols’ Tuning ................. 2–5
2.3 Anti-Windup and Conditional Integration ....... 2–7
2.4 Bumpless Transfer ..................... 2–8
3 Remote Operation 3 – 1
3.1 Index of Common Commands .............. 3–2
3.2 Alphabetic List of Commands .............. 3–4
3.3 Introduction ........................ 3–7
3.4 Commands ......................... 3–8
3.5 Status Model ........................ 3–25
4 Performance Tests 4 – 1
4.1 Getting Ready ....................... 4–2
4.2 Performance Tests ..................... 4–2
4.3 Calibration ......................... 4–6
5 Circuitry 5 – 1
5.1 Circuit Descriptions .................... 5–2
5.2 Parts Lists ......................... 5–4
5.3 Schematic Diagrams ................... 5–7
i
ii Contents
SIM960 Analog PID Controller
General Information
Safety and Precautions for Use
Because of the variety of uses for the SIM960, those responsible for the application and use of this control equipment must satisfy them­selves that all necessary steps have been taken to assure that each application and use meets all performance and safety requirements, including any applicable laws, regulations, codes and standards.
The SIM960 is not designed, intended, or sold for use in hazardous
WARNING
environments requiring fail-safe operation, including without lim­itation, operation of nuclear facilities, aircraft or spacecraft control systems, and life support or weapons systems. The user must assure that any failure or misapplicationof the SIM960cannot lead toa con­sequential failure of any interconnected equipment that could lead to loss of life or limb, or property damage.
The illustrations, charts, and discussions shown in this manual are intended solely for purposes of example. Since there are many vari­ables and requirements associated with any particular control ap­plication, Stanford Research Systems does not assume responsibility or liability for actual use based upon the examples shown in this publication.
Service
Do not install substitute parts or perform any unauthorized modifi­cations to this instrument.
The SIM960 is a double-wide module designed to be used inside the SIM900 Mainframe. Do not turn on the power to the Mainframe or apply voltage inputs to the module until the module is completely inserted into the mainframe and locked in place. Do not exceed ±18 V at any input or output connector.
iii
iv General Information
Symbols you may Find on SRS Products
Symbol Description
Alternating current
Caution - risk of electric shock
Frame or chassis terminal
Caution - refer to accompanying documents
Earth (ground) terminal
Battery
Fuse
On (supply)
Off (supply)
SIM960 Analog PID Controller
General Information v
Notation
The following notation will be used throughout this manual. A warning means that injury or death is possible if the instructions
WARNING
are not obeyed. A caution means that damage to the instrument or other equipment
CAUTION
is possible. Typesetting conventions used in this manual are:
Front-panel buttons are set as [Button]; [Adjust
] is shorthand for “[Adjust ] & [Adjust ]”.
Front-panel indicators are set as Overload.
Remote command names are set as *IDN?.
Literal text other than command names is set as OFF.
Remote command examples will all be set in monospaced font. In these examples, data sent by the host computer to the SIM960 are set as straight teletype font, while responses received by the host computer from the SIM960 are set as slanted teletype font.
SIM960 Analog PID Controller
vi General Information
Specifications
Performance Characteristics
Min Typ Max Units
Amplifier Settings Control type Analog, PID+Oset
Input Range 10 +10 V common mode
1 +1 Vdifferential
Proportional gain 10
1
10
3
V/V
Integral gain 10
2
5 ×1051/s
e. time const. 2 ×10
6
10
2
s
Derivative gain 10
6
10 s
Oset 10 +10 V
resolution 1 mV
Amplifier Performance Bandwidth
100 kHz
Propagation delay 1 μs
Noise (f > 20 Hz) 8 nV/√Hz, RTI
Output Range 10 +10 V
Configuration Parameter control
Digital
Parameter accuracy 1 %
Stability 200 ppm/◦C
Display Resolution 4 digits
Inputs Measure
BNC, 1 MΩ, ±10 V range
Ext. Setpoint BNC, 1 MΩ, ±10 V range
Setpoint Generator Setting
10 +10 V
resolution 1 mV
Ramp Rate 10
3
10
4
V/s
Noise (f > 100 Hz) 20 nV/√Hz, RTI
Operating Temperature [14]
0 40
C
Power ±15, +5 VDC
Supply current 150 (±15 V), 80 (+5V) mA
General Characteristics
Number of inputs
2
Interface Serial (RS-232) through SIM interface
Connectors BNC (3 front, 2 rear); DB–15 (male) SIM interface
Weight 2.1 lbs
Dimensions 3.0W ×3.6H ×7.0D
SIM960 Analog PID Controller
1 Getting Started
This chapter gives you the necessary information to get started quickly with your SIM960 Analog PID Controller.
In This Chapter
1.1 General ........................... 1–2
1.2 Front Panel Operation .................. 1–2
1.2.1 Inputs ....................... 1–4
1.2.2 Ramping ...................... 1–5
1.2.3 Connections .................... 1–5
1.2.4 Bar displays .................... 1–6
1.2.5 Restoring the default configuration ...... 1–6
1.3 Rear Panel Monitoring .................. 1–7
1.3.1 Error Monitor ................... 1–7
1.3.2 Input Setpoint Monitor ............. 1–7
1.4 SIM Interface ....................... 1–8
1.4.1 SIM interface connector ............. 1–8
1.4.2 Direct interfacing ................. 1–8
1–1
1–2 Getting Started
1.1 General
The SIM960 is designed to maintain stability in systems requiring low noise and wide bandwidth. The controller design consists of a front end dierential input amplifier, followed by an integrator and a dierentiator, arranged in what is known as the “ideal” PID topology. The input amplifier (the “error amplifier”) dierences the the two single ended inputs, Setpoint and Measure, and multiplies the resulting error signal (ε) by the proportional gain. The amplified error is then passed to three parallel control paths:
1. The proportional path, no change is made to the signal.
2. The integral path with gain I.
3. The derivative path gain D.
These three signals can be independently selected to combine at a summing amplifier, which is then buered to the output. A constant oset can also be added, which can be useful in applications that do not use the I term. Mathematically, the behavior is
ε ≡ Setpoint Measure (1.1)
Output = P ×ε + Iε dt + D
dε dt
+ Oset (1.2)
where the three terms within the braces, and Oset, can be indepen­dently enabled or zeroed.
For internal stability, the actual dierentiator is “rolled o” to limit the derivative gain to +40 dB.
The output circuitry includes a soft limiter that turns on when the output exceeds user specified upperand lower limitsand clamps the output to the limit level. The output bar display on the right side of the front panel has red LEDs at each end to indicate when the output is being limited.
1.2 Front Panel Operation
This section discusses the essentials of operating the SIM960 locally, from the front panel. See Chapter 3 for remote operation.
Press [Select] to choose which configuration parameter to view in the numerical display. The indicator to the left of each descriptor shows which parameter is displayed. When Shift is highlighted, pressing [Select] steps the parameter selection backwards.
SIM960 Analog PID Controller
1.2 Front Panel Operation 1–3
Figure 1.1: The SIM960 front panel.
• The P, I, D, Oset, and SP Ramp parameters may be en­abled/disabled with [On/O]. Each of these parameters has an additional indicatorto the right of the descriptor toindicate the on/ostatus.
The Limits parameter has two sublevels: upper and lower limit.
• The Setpoint, Measure, P × ε, andOutput values are display­only. All the other values can be changed using the [
] but­tons; the digit selected for adjustment is indicated by its flash­ing brightness. Change the digit selection while Shift is high­lighted ([
]).
There are two formats for the numeric display: Exponential, and fixed decimal. The format used for a particular param­eter depends on its range. Parameters P, I, D and SP Ramp (rate) vary by several orders of magnitude and are therefore displayed in exponential format, while all other parameters range from 10 V to +10 V and are displayed in fixed decimal format.
For exponential format, the mantissa may be changed using the up/down arrow buttons. The activedigit maybe selectedusing the left/right buttons (= shift, followed by up/down button).
SIM960 Analog PID Controller
1–4 Getting Started
The right-most digit (after ) is the power of ten exponent. For example, the display
= 1200.
The P parameter has a selectable “±” indicator before the mantissa.This allows the polarity of the controller to be tog-Polarity = gled by the user. All other exponentially displayed parameters are unipolar, so no sign is displayed for these parameters.
In fixed decimal format a value between 10 and +10 may be selected using [
] (and [Shift]).
The two outputs, P × ε, and Output , are accompanied by bar displays on the right side of the front panel. P × ε simply ranges from 10 V to +10 V. However, since the controller out­put ranges between the user-programmed upper and lower limits, the output bar display is normalized to that range. For example, if the limits were set to +5 V and 1 V, the full range of the bar display would be 6 V, and 0 V would no longer cor­respond to the center of the bar display, but would be
1
/6th of
the way up from the bottom. The default limits are ±10V.
Use [Setpoint] in the INPUTS section of the front panel to
choose between an external setpoint input, and the internally generated setpoint. An external setpoint can be supplied at the Setpoint BNC input. When the internal setpoint is selected the BNC connector is disconnected from the SIM960 circuitry.
The Output BNC connector can be toggled between PID Con­trol mode and Manual mode using [Output] (in the OUTPUT section ofthe front panel). In manual mode,the SIM960 output is set to the value indicated by the manual parameter.
1.2.1 Inputs
The common mode range of the “Measure” and “Setpoint” inputs extends from 10V to +10 V. If either input is outside this range, the overload LED indicator lights.
The dierential inputrange is±1 V. Wheneverthe dierence between Setpoint and Measure exceeds this range, the overload LED indica­tor turns on. When connected with overall negative feedback and reasonably well tuned, the SIM960 keeps the dierence between the setpoint and measure inputs as small as possible, so the dierential input range is unlikely to be exceeded. Before the SIM960 has been tuned for a given system, however, this may not be true. It is helpful to keep in mind that exceeding the ±1Vdifferential input range will saturate the error amplifier, even iftheoutput signal wouldotherwise be within the upper and lower Limits setting. In such situations, the controller will be eectively limited at some intermediate value.
SIM960 Analog PID Controller
1.2 Front Panel Operation 1–5
1.2.2 Ramping
The ramping feature of the SIM960 PID Controller allows the user to linearly slew the internally generated setpoint level from its current value to a new value. The slew rate may be changed using the SP Ramp parameter on the front panel.
The indicator to the right of SP Ramp shows whether ramp­ing is enabled or disabled. Use [On/O] (with SP Ramp se­lected) to enable/disable ramping. When disabled, changes to the Internal Setpoint parameter take eect immediately. When ramping is enabled, however, changes to Internal Setpoint do not immediately take eect. Instead, Internal (in the Setpoint block of the INPUTS section of the front panel) begins to blink, showing that a new setpoint has been entered and a ramp event is now pending.
To begin the ramp, press [Ramp Start/Stop]. Now, the Internal blink rate doubles, indicating that the setpoint is ramping. To pause the ramp, press [Ramp Start/Stop]˙When the ramp is paused, the In- ternal blink rate becomes uneven. To continue the ramp, press [Ramp Start/Stop] again. When the setpoint reaches the new pro­grammed value, the ramp automatically terminates, and Internal stops blinking.
Note, SP Ramp has no sign in the numerical display. This is be­cause the polarity of the ramp rate is unambiguously determined by whether the newly entered setpoint is greater or less than the current setpoint. The range of available ramp rates is from 1 mV/s to 10,000 V/s. For ramp rates less than or equal to 1 V/s, the rate is dynamically trimmed based on real-time measurements from the onboard A-to-D converter.
1.2.3 Connections
Connect thesensor outputof thesystem to be controlledto the “Mea­sure”input ofthe SIM960˙If an externalsetpoint is tobe supplied,con­nect this to the “Setpoint” input, and use the button in the INPUTS section of the front panel to select “External” input. Before connect­ing theSIM960 outputto the system to control, it may be necessaryto set the user programmable output upper and lower Limits to guard against damaging the system. Care should be taken to insure that the programmed output range is consistent with the system input range. Once the limits have been programmed, connect the SIM960 output to the system input.
SIM960 Analog PID Controller
1–6 Getting Started
1.2.4 Bar displays
Two LED bar displays have been included on the right side of the SIM960 front panel to provide visual information about the P × ε and Output signals. This reduces the need to frequently return to those fields on the numerical display while trying to adjust other tuning parameters. Some time should be taken to understand what information these bar displays provide.
Each bar has two lighted LEDs; one for the maximum peak of the signal, and one for the minimum peak. The peaks are determined with respect to time variation of the signal, and they decay back to the DC level with a decay time of 100 ms.
To understand how a signal is represented in the bar display, con­sider an input sine wave of frequency 1 Hz. Since frequency is low compared to the inverse of the decay time, the maximum and min­imum peak values are indistinguishable, and the signal appears as a single LED that tracks the sine wave. As the frequency increases, the maximum peak does not decay quickly enough to track the neg­ative excursions the signal, and the minimum peak also fails to track positive excursions. So there appear to be two lighted LEDs slightly separated, roughly tracking the sine wave. As the frequency is fur­ther increased to well above the decay time inverse, the two lighted LEDs no longer decay at all from their peak levels, so there appear to be two lighted LEDs marking the maximum and minimum peaks of the sine wave.
Thus, a slowly varying signal appears as a single lighted LED in the display, tracking the signal changes with time. But a quicklyvarying signal, however,appears astwo lightedLEDs marking themaximum and minimum excursions of the signal in time.
The range of the P × ε bar display is ±10 V. The Output bar display has a range determined by the user programmed upper and lower limits. For example, if the limits were set to +5 V and 1 V, the full range of the bar display would be 6 V, and 0 V would no longer correspond to the center of the bar display, but would be
1
/6th of the
way upfrom the bottom. Also, theOutput bar display has a red LED on each end to indicate whether the controller output is saturated at its limit.
1.2.5 Restoring the default configuration
The default configuration of the SIM960 can be restored in either of two ways: From the front panel, or via the remote interface.
To restore from the front panel, first turn othe power to the SIM960 by switching its SIM900 Mainframe to “Standby,” then switch the
SIM960 Analog PID Controller
1.3 Rear Panel Monitoring 1–7
power on while holding down [Ramp Start/Stop]. Keep the button depressed for about one second after power comes on.
The default configurationcanalso be restored via theremoteinterface using the *RST command.
1.3 Rear Panel Monitoring
Two analog monitor signals are available at the rear panel of the SIM960 (see Figure 1.2).
Figure 1.2: The SIM960 rear panel.
1.3.1 Error Monitor
The upperBNC connector carries a bueredcopy of the P × ε output of the error amplifier. This output is always available, even when the P term is disabled from the control law. It is also active when the main SIM960 output is set to Manual mode.
1.3.2 Input Setpoint Monitor
The lowerBNC is a copy ofthe internally generated setpoint voltage. This output is also always available, even when the Setpoint mode is set to External.
SIM960 Analog PID Controller
1–8 Getting Started
1.4 SIM Interface
The primary connection to the SIM960 Analog PID Controller is the rear-panel DB–15 SIM interface connector. Typically, the SIM960 is mated to a SIM900 Mainframe via this connection, either through one of the internal mainframe slots, or the remote cable interface.
It is also possible to operate the SIM960 directly, without using the SIM900 Mainframe. This section provides details on the interface.
The SIM960 has no internal protection against reverse polarity, missing
CAUTION
supply, or overvoltage on the power supply pins. Misapplication of power may cause circuit damage. SRS recommends using the SIM960 together with the SIM900 Mainframe for most applications.
1.4.1 SIM interface connector
The DB–15 SIM interface connectorcarries allthe powerand commu­nications lines to the instrument. The connector signals are specified in Table 1.1
Direction
Pin Signal Src Dest Description
1 SIGNAL GND MF SIM Ground reference for signal 2
STATUS SIM MF Status/service request (GND= asserted, +5V= idle)
3
RTS MF SIM HW Handshake (+5V= talk; GND =stop)
4
CTS SIM MF HW Handshake (+5V= talk; GND= stop)
5
REF 10MHZ MF SIM 10MHz reference (optional connection)
6
5V MF SIM Power supply (no connection in SIM960)
7
15 V MF SIM Power supply (analog circuitry)
8
PS RTN MF SIM Power supply return
9
CHASSIS GND Chassis ground
10
TXD MF SIM Async data (start bit= “0”=+5 V; “1”= GND)
11
RXD SIM MF Async data (start bit = “0”=+5 V; “1”= GND)
12
+REF 10MHz MF SIM 10 MHz reference (optional connection)
13
+5V MF SIM Power supply (digital circuitry)
14
+15 V MF SIM Power supply (analog circuitry)
15
+24 V MF SIM Power supply (no connection in SIM960)
Table 1.1: SIM Interface Connector Pin Assignments, DB-15
1.4.2 Direct interfacing
The SIM960 is intended for operation in the SIM900 Mainframe, but users may wish to directlyinterface the module to their own systems without the use of additional hardware.
SIM960 Analog PID Controller
1.4 SIM Interface 1–9
The matingconnector neededis astandard DB–15 receptacle, such as Amp part # 747909-2 (or equivalent). Clean, well-regulated supply voltages of +5,±15VDC must be provided, following the pin-out specified in Table 1.1. Ground must be provided on Pins 1 and 8, with chassis ground onPin9. The STATUSsignal may bemonitored on Pin 2 for a low-going TTL-compatible output indicating a status message.
1.4.2.1 Direct interface cabling
If the user intends to directly wire the SIM960 independent of the SIM900 Mainframe, communication is usually possible by directly connecting the appropriate interface lines from the SIM960 DB–15 plug tothe RS-232serial portof apersonal computer.
1
Connect RXD from the SIM960 directly to RD on the PC, TXD directly to TD, and similarly RTSRTS and CTSCTS. In other words, a null-modem style cable is not needed.
To interface directly to the DB–9 male (DTE) RS-232 port typically found on contemporary personal computers, a cable must be made with a female DB–15 socket to mate with the SIM960, and a female DB–9 socket to mate with the PC’s serial port. Separate leads from the DB–15 need to go to thepower supply, making whatis sometimes know as a “hydra” cable. The pin-connections are given in Table 1.2.
DB–15/F to SIM960 Name
DB–9/F 3 ←→ 7RTS 4 ←→ 8 CTS
10 ←→ 3 TxD 11 ←→ 2 RxD
5 Computer Ground
to P/S 7 ←→ −15VDC
14 ←→ +15 VDC 13 ←→ +5 VDC
8,9 ←→ Ground (P/S return current)
1 ←→ Signal Ground (separate wire to Ground)
Table 1.2: SIM960 Direct Interface Cable Pin Assignments
1
Although the serial interface lines on the DB-15 do not satisfy the minimum voltage levels of the RS-232standard, they are typically compatible with desktop personal computers
SIM960 Analog PID Controller
1–10 Getting Started
1.4.2.2 Serial settings
The initial serial port settings at power-on are: 9600 Baud, 8–bits, no parity, 1 stop bit, and RTS/CTS flow control. These may be changed with the BAUD, FLOW,orPARI commands.
The maximum standard baud rate that the SIM960 supports is 38400. The minimum baud rate is 110. Above 38400, the SIM960 can be set to the following (non-RS–232-standard) baud rates: 62500, 78125, 104167, 156250. Note that these rates are typically not accessible on a standard PC RS–232 port, but can be used between the SIM960 and the SIM900 Mainframe.
SIM960 Analog PID Controller
2 Advanced Topics
This chapter discusses a simple “closed-loop” tuning procedure, along with some of the advanced features of the SIM960 Analog PID Controller.
In This Chapter
2.1 PID Tuning Basics .................... 2–2
2.2 Ziegler-Nichols’ Tuning ................. 2–5
2.2.1 Open-loop tuning ................. 2–5
2.2.2 Closed-loop tuning ................ 2–6
2.3 Anti-Windup and Conditional Integration ...... 2–7
2.4 Bumpless Transfer .................... 2–8
2.4.1 Manual-to-PID .................. 2–8
2.4.2 PID-to-Manual .................. 2–8
2–1
2–2 Advanced Topics
2.1 PID Tuning Basics
PID control provides a simple way to minimize the eect of dis­turbances to a system. The system consists of a closed feedback loop between two elements, the SIM960 controller and the user pro-
cess. The controller has two inputs, Setpoint and Measure, and an Output. The process consists of a power source that can be directly
changed by the controller,in conjunctionwith asensor tomonitor the process behavior. The sensor signal, after any necessary condition­ing, is the process output. This should be connected to the Measure input of the SIM960, and the SIM960 Output should be connected to the process input, forming a feedback loop.
The dierence between the Setpoint and Measure inputs is the error signal, ε Setpoint Measure (Eqn 1.1). In the SIM960 the error signal is amplified by the proportional gain. The controller uses the amplified error, P × ε, to generate three control signals:
1. Proportional, the P amplified error with no changes.
2. Integral, the time integral of the amplified error signal multi­plied by a gain coecient I.
3. Derivative, the time derivative of the amplified error signal multiplied by a gain coecient D.
These signals, as well as an Oset, are combined at a summing junction to produce the controller output (see Eqn 1.2). Figure 2.1 shows a schematic representation of the SIM960 controller topology. Note the proportionalgaincoecient iscommonto allthreeterms, so the net integral and derivative gains are P×I and P ×D, respectively, whether or not proportional control is enabled.
The controller monitors the process output and makes small adjust­ments to the process in order to minimize deviations of Measure from Setpoint due to external disturbances. To accomplish this, the controller must be properly tuned, meaning that the gains for each of the three control signals—proportional, integral, and derivative— must be chosen appropriately to match the behavior of the process. A well-tuned controller should be able to maintain a stable process output.
The control loop feedback should be negative. However, because the polarity of the process response to the controller output is an arbitrary function of the design of the system, it is vital that the controller polarity be chosen properly. Based on the topology of the SIM960 design, feedbackpolarity can bechangedsimply by changing the polarity of the proportional gain parameter P. The user must first determine which polarity will provide negative feedback. If the
SIM960 Analog PID Controller
2.1 PID Tuning Basics 2–3
Manual Control
Outp
ut
P
ε
×
P
ε
×
+
× 1
D
I
Offset Control
Σ
Internal Setpoint/Ramp Generator
SP M
Monitor Output (rear panel BNC)
P
E
xternal
S
etpoint
I
nput
M
easure
I
nput
ε = SP − M
*
Output** Selector
*
Antiwindup circuitry (see text)
*
* Bumpless transfer when I is enabled
Output Buffer w/User Controlled Limits
Figure 2.1: The SIM960 block diagram.
processis noninverting, i.e. a smallpositivechange atitsinput results in a positive change at its output, then using positive P polarity will ensure negative feedback in theloop. To seethis, followthe eectof a small positivechange at the process output. Since the process output is connected to the Measure input of the SIM960, a small positive change would cause a negative change to ε. The resulting change at the controllerOutput would also benegative, as would be that of the process output. Thus, the initial small positive change at the process output is “corrected” by a negative change after going around the feedback loop. As a general rule, if the process is noninverting, then the P-polarityshould bepositive. If theprocess isinverting, negative P-polarity should be used.
Care should be taken in designing the process. The sensor should be situated so that it is responsive to changes to the part of the system under control. Placing the sensor too remotely can result in a time delay which limits the quality of control. Also, the sensor should primarily measure the system’s response to external changes, rather than measure the changes directly. The latter can sometimes be used to help thecontrolleranticipate transients, butat the riskof sacrificing accuracy in reaching the target setpoint.
Tuning a PID controller amounts to determining what the relative contributions should be from each of the three types of control. The simplest approach is to start with proportional control and add inte-
SIM960 Analog PID Controller
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