Robust output tracking control for discrete-time nonlinear systems with time-varying delay: Virtual fuzzy model LMI-based approach

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• 作者：Tung-Sheng Chiang^a ; ^{tschiang@cyu.edu.tw} ; Peter Liu^b ; ^{pliu@ieee.org}
• 关键词：Time-delay systems ; T&ndash ; S fuzzy ; Virtual desired variables ; Linear matrix inequalities
• 刊名：Expert Systems with Applications
• 出版年：2012
• 期刊代码：62_09574174
• 类别：et
• 出版时间：July, 2012
• 卷：39
• 期：9
• 页码：8239-8247
• 文件大小：1781 K

摘要

This paper proposes an output tracking control via virtual reference model for a class of nonlinear discrete-time systems with time-varying delay and disturbance. First, a Takagi-Sugeno (T-S) fuzzy model represents the discrete-time nonlinear system with time-varying delay. Second, a fuzzy observer design estimates immeasurable state. Third, a virtual desired variable (VDV) based tracking controller design guarantees H_{鈭?/sub> control performance for the overall system. Using Lyapunov鈥檚 stability analysis, we obtain sufficient conditions for stability of estimation, control, and robustness. The advantages are as follows: (i) allow unknown time-varying delay; (ii) ensure robust output tracking; (iii) provide relaxed conditions via a three-steps procedure to find observer and controller gain. To verify the theoretical derivation, we carry out numerical simulations on a stirred tank reactor system as an example. Satisfactory results validate the claims.}