Decentralized Piecewise Fuzzy
Output Feedback Control for Large‐Scale Nonlinear Systems with Time‐Varying Delay |
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Authors: | Zhixiong Zhong Zhenhua Shao Tianxiang Chen |
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Institution: | 1. High‐Voltage Key Laboratory of Fujian Province, Xiamen University of Technology, Xiamen, China;2. Department of Mechanical Engineering, University of Victoria, Victoria, BC, Canada;3. Fujian Key Lab of Medical Instrument and Pharmaceutical Technology, Fuzhou University, Fujian 350116, China |
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Abstract: | This article addresses the decentralized output feedback control for discrete‐time large‐scale nonlinear systems. The considered large‐scale system contains several subsystems with nonlinear interconnection and time‐varying delay, and Takagi–Sugeno model is used to represent each nonlinear subsystem. We aim at designing a decentralized piecewise fuzzy memory dynamic‐output‐feedback (DOF) controller that guarantees the stabilization and performance of the resulting closed‐loop control system. First, we propose a model transformation that reformulates the problem of decentralized output feedback control into the stability analysis with input–output form. Then, we introduce a piecewise Lyapunov–Krasovskii functional, where all Lyapunov matrices are not necessarily positive definite. By combining with the scaled small gain theorem, the less conservative solution to the problem of decentralized piecewise fuzzy memory DOF controller design for the considered system is derived in terms of linear matrix inequalities. The advantage of the proposed method is finally validated using two numerical examples. © 2016 Wiley Periodicals, Inc. Complexity 21: 268–288, 2016 |
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Keywords: | large‐scale Takagi– Sugeno fuzzy systems nonlinear interconnection decentralized dynamic output feedback piecewise Lyapunov– Krasovskii functional |
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