H ?/sub> reference tracking control design for a class of nonlinear systems with time-varying delays
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- 作者：Mei-qin Liu ; Hai-yang Chen ; Sen-lin Zhang
- 关键词：H ?reference tracking ; Nonlinear system ; State feedback control ; Time ; varying delays ; Unified model ; TP273
- 刊名：Journal of Zhejiang University - Science C
- 出版年：2015
- 出版时间：September 2015
- 年：2015
- 卷：16
- 期：9
- 页码：759-768
- 全文大小：520 KB
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Zhang, H., Shi, Y - 作者单位：Mei-qin Liu (1) (2)
Hai-yang Chen (2)
Sen-lin Zhang (2)
1. State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, 310027, China
2. College of Electrical Engineering, Zhejiang University, Hangzhou, 310027, China - 刊物类别：Computer Science
- 刊物主题：Computer Science, general
- 出版者：Zhejiang University Press, co-published with Springer
- ISSN：1869-196X
文摘
This paper investigates the H ?/sub> trajectory tracking control for a class of nonlinear systems with time-varying delays by virtue of Lyapunov-Krasovskii stability theory and the linear matrix inequality (LMI) technique. A unified model consisting of a linear delayed dynamic system and a bounded static nonlinear operator is introduced, which covers most of the nonlinear systems with bounded nonlinear terms, such as the one-link robotic manipulator, chaotic systems, complex networks, the continuous stirred tank reactor (CSTR), and the standard genetic regulatory network (SGRN). First, the definition of the tracking control is given. Second, the H ?/sub> performance analysis of the closed-loop system including this unified model, reference model, and state feedback controller is presented. Then criteria on the tracking controller design are derived in terms of LMIs such that the output of the closed-loop system tracks the given reference signal in the H ?/sub> sense. The reference model adopted here is modified to be more flexible. A scaling factor is introduced to deal with the disturbance such that the control precision is improved. Finally, a CSTR system is provided to demonstrate the effectiveness of the established control laws. Keywords H ?/sub> reference tracking Nonlinear system State feedback control Time-varying delays Unified model