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PID Control - Waterloo Maple

PID ControlProportional-Integral-Derivative (PID) controllers are one of the most commonly used types of controllers. They have numerous applications relating to temperature Control , speed Control , position Control , etc. A PID controller provides a Control signal that has a component proportional to the tracking error of a system, a component proportional to the accumulation of this error over time and a component proportional to the time rate of change of this error. This module will cover these different components and some of their different combinations that canbe used for Control purposes.

The characteristic form of the transfer function of a first order plant is... Eq. (3) where is the time constant and is the DC Gain. With P control, the closed loop transfer function of the system is... Eq. (4) (This can be obtained using where is the controller transfer function and is the plant transfer function. See the Block Diagrams ...

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www.maplesoft.com

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web.ece.ucsb.edu

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chemeng.queensu.ca

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