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Robust ℋ︁∞ PID control for multivariable networked control systems with disturbance/noise attenuation
Authors:Hui Zhang  Yang Shi  Aryan Saadat Mehr
Affiliation:1. Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC, BC, Canada V8W 3P6;2. Department of Electrical and Computer Engineering, University of Saskatchewan, 57 Campus Drive, Saskatoon, SK, Canada S7N 5A9
Abstract:In this paper, we study the design problem of PID controllers for networked control systems (NCSs) with polyhedral uncertainties. The load disturbance and measurement noise are both taken into account in the modeling to better reflect the practical scenario. By using a novel technique, the design problem of PID controllers is converted into a design problem of output feedback controllers. Our goal of this paper is two‐fold: (1) To design the robust PID tracking controllers for practical models; (2) To develop the robust ?? PID control such that load and reference disturbances can be attenuated with a prescribed level. Sufficient conditions are derived by employing advanced techniques for achieving delay dependence. The proposed controller can be readily designed based on iterative suboptimal algorithms. Finally, four examples are presented to show the effectiveness of the proposed methods. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:NCSs  PID controllers         performance  LMIs
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