Determination of all stabilizing PID controllers for time delay systems with Smith predictors

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Issue Date
2013
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Authors
Veeramachaneni, Siva Rama Krishna
Watkins, John Michael
Emami, Tooran
Advisor
Citation

Veeramachaneni, Siva R.; Watkins, John Michael; Emami, Tooran. 2013. Determination of all stabilizing PID controllers for time delay systems with Smith predictors. ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference Volume 1: Adaptive Control; Advanced Vehicle Propulsion Systems; Aerospace Systems; Autonomous Systems; Battery Modeling; Biochemical Systems; Control Over Networks; Control Systems Design; Cooperativ Fort Lauderdale, Florida, USA, October 17–19, 2012

Abstract

Time delays in the control loop complicate the analysis and design of controllers. The use of a Smith predictor is a well-known technique for dealing with delays in stable systems. This paper presents a method for finding all stabilizing Proportional Integral Derivative (PID) controllers when the Smith predictor is used. This paper introduces a general method to determine all achievable PID controllers even when there is a mismatch between the plant and Smith predictor model. A key advantage of this approach is that it requires only the frequency response of the plant.

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