SmithDelayCompensator
SmithDelayCompensator[sys,con]
gives the Smith compensator for the time-delay system sys and the delay-free controller con.
Details and Options
- The system can be a StateSpaceModel or TransferFunctionModel object.
- A Smith delay compensator is a controller for time-delay systems that eliminates internal delays in the closed-loop system.
- Block diagram of a Smith predictor with controller con and system model sys, where sys0 denotes all delays being set to zero:
Examples
open all close allBasic Examples (1)
A compensator for a time-delay TransferFunctionModel with feedback gain k:
Scope (2)
A symbolic controller for a time-delay TransferFunctionModel with a PI controller:
A compensator for a StateSpaceModel with internal delays:
Applications (2)
Use a Smith predictor to design a pole-placement controller for a time-delay system:
The closed-loop system has no internal delays:
A chemical reactor train (Ogunnaike and Ray, 1979):
A Smith predictor for a diagonal feedback matrix:
Compare the closed-loop response with and without the Smith predictor:
Properties & Relations (1)
A Smith predictor for a time-delay TransferFunctionModel and PID controller:
Text
Wolfram Research (2012), SmithDelayCompensator, Wolfram Language function, https://reference.wolfram.com/language/ref/SmithDelayCompensator.html.
CMS
Wolfram Language. 2012. "SmithDelayCompensator." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SmithDelayCompensator.html.
APA
Wolfram Language. (2012). SmithDelayCompensator. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SmithDelayCompensator.html