Distributed preview control for large-scale systems with time-varying delay
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1School of Information Management and Statistics, Hubei University of Economics, Wuhan, 430205, China; Collaborative Innovation Center of China Pilot Reform Exploration and Assessment-Hubei Sub-Center, Hubei University of Economics, Wuhan, 430205, China.
Abstract:
A distributed preview controller (DPC) design problem is discussed for discrete-time large-scale systems with time-varying delay and polytopic uncertainty in this paper. The original time-varying delay system is reformulated as a constant delay systems via a model transformation. The difference operator method is extended to derive an augmented error system (AES). The preview control problem is converted into a stabilization problem based on state augmentation technique. Sufficient conditions are derived from the scaled small-gain theorem (SSG). Additionally, a DPC is designed through some linear matrix inequality (LMI) techniques. Finally, two examples are provided to show the effectiveness of our controller for large-scale systems.
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