非线性关联大系统的控制器设计

doi:10.3969/j.issn.1001-2400.2011.01.023

J4 ›› 2011, Vol. 38 ›› Issue (1): 142-146+183.doi: 10.3969/j.issn.1001-2400.2011.01.023

非线性关联大系统的控制器设计

郭岗^1,2;牛文生³;马建峰¹

(1. 西安电子科技大学计算机学院，陕西西安 710071；
2. 洛阳师范学院信息技术学院，河南洛阳 471022；
3. 中国航空计算技术研究所，陕西西安 710068)

收稿日期:2009-12-15 出版日期:2011-02-20 发布日期:2011-04-08
通讯作者: 郭岗
作者简介:郭岗(1972-)，男，西安电子科技大学博士研究生，E-mail: guogang@lynu.edu.cn．
基金资助:
国家部委基金科研资助项目(C0520061364)

Design of the controller for nonlinear interconnected systems

GUO Gang^1,2;NIU Wensheng³;MA Jianfeng¹

(1. School of Computer Science and Technology, Xidian Univ., Xi'an 710071， China;
2. Academy of Info. Tech., Luoyang Normal Univ., Luoyang 471022， China;
3. China Aeronautics Computing Tech. Research Inst., Xi'an 710068， China)

Received:2009-12-15 Online:2011-02-20 Published:2011-04-08
Contact: GUO Gang

摘要/Abstract

摘要：

对一类由Takagi-Sugeno双线性模型描述的带有时变时滞的非线性关联大系统，研究了其分散状态反馈控制问题．根据Lyapunov稳定性分析理论和并行分布补偿算法，导出了闭环关联大系统时滞相关渐进稳定的充分条件，该条件比现有结果具有更小的保守性．设计出了相应的分散模糊控制器，并将其转化成为一个受线性矩阵不等式约束的凸优化问题．

关键词: 模糊控制系统, 时滞系统, 鲁棒控制, 非线性关联大系统, 分散控制, 线性矩阵不等式

Abstract:

The decentralized state feedback control problem is studied for a nonlinear interconnected systems with a time-varying delay in both states and inputs which are composed of a number of Takagi-Sugeno (T-S) fuzzy bilinear subsystems with interconnections. Based on the Lyapunov criterion and the parallel distribution compensation scheme, the delay-dependent stabilization sufficient conditions are derived for the whole close-loop fuzzy interconnected systems, which have less conservativeness than that by the existing methods. The corresponding decentralized fuzzy controller design is converted into a convex optimization problem with linear matrix inequality (LMI) constraints. Finally, a simulation example shows the effectiveness of the proposed approach.

Key words: fuzzy control systems, delay systems, robust control, nonlinear interconnected system, decentralized control, linear matrix inequality

郭岗;牛文生;马建峰. 非线性关联大系统的控制器设计[J]. J4, 2011, 38(1): 142-146+183.

GUO Gang;NIU Wensheng;MA Jianfeng. Design of the controller for nonlinear interconnected systems[J]. J4, 2011, 38(1): 142-146+183.

参考文献

[1] 张喜民,李建东,张建国. 网络控制系统的鲁棒保性能控制[J]. 西安电子科技大学学报, 2008, 35(1): 96-100.
Zhang Ximin, Li Jiandong, Zhang Jianguo. Robust Guaranteed Cost Control for the Networked Control Systems [J]. Journal of Xidian University, 2008, 35(1): 96-100.
[2] 郭涛,张军英. 未知非线性时滞系统自适应模糊控制[J]. 西安电子科技大学学报, 2008, 35(5): 922-926.
Guo Tao, Zhang Junying. Adaptive Fuzzy Control for Unknown Nonlinear Time-delay Systems [J]. Journal of Xidian University, 2008, 35(5): 922-926.
[3] 陈国培,李俊民,杨莹. 一类不确定脉冲混合系统的非脆弱控制器设计[J]. 西安电子科技大学学报, 2008, 35(1): 65-70.
Chen Guopei, Li Junmin, Yang Ying. Design Methods for Non-fragile Controllers for a Class of Uncertain Impulsive Hybrid Systems
[J]. Journal of Xidian University, 2008, 35(1): 65-70.
[4] 张果,李俊民.不确定时滞离散模糊系统的鲁棒H_∞控制[J]. 西安电子科技大学学报, 2009, 36(2): 353-358.
Zhang Guo, Li Junmin. Robust H_∞ Control for a Class of Uncertain Discrete Fuzzy System with Time-delay [J]. Journal of Xidian University, 2009, 36(2): 353-358.
[5] 郭岗,牛文生,崔西宁, 等. 带有时变时滞的不确定模糊系统的鲁棒控制[J]. 华中科技大学学报: 自然科学版, 2009,37(11): 22-25.
Guo Gang, Niu Wensheng, Cui Xining, et al. Robust Controlling a Class of Uncertain Fuzzy Systems with Time-delay[J]. Journal of Huazhong Unviersity of Science and Technology: Natural Science Edition, 2009,37(11): 22-25.
[6] 郭岗,牛文生,崔西宁. 时滞模糊系统的鲁棒非脆弱H_∞控制[J].华中科技大学学报:自然科学版, 2009, 37(12): 68-71.
Guo Gang, Niu Wensheng, Cui Xining. Robust and Non-fragile H_∞ Control of Delay-dependent Fuzzy Systems[J]. Journal of Huazhong Unviersity of Science and Technology: Natural Science Edition, 2009, 37(12): 68-71.
[7] Yuan K, Li H X, Cao J. Robust Stabilization of the Distributed Parameter System with Time Delay Via Fuzzy Control [J]. IEEE Trans on Fuzzy Syst, 2008, 16(3): 567-584.
[8] Pang C T, Lur Y Y. On the Stability of Takagi-Sugeno Fuzzy Systems with Time-varying Uncertainties [J]. IEEE Trans on Fuzzy Syst, 2008, 16(1): 162-170.
[9] Wang R J. Nonlinear Decentralized State Feedback Controller for Uncertain Fuzzy Time-delay Interconnected Systems[J]. Fuzzy Sets and Syst, 2005, 151(1):191-204.
[10] Elliott D L. Bilinear Systems in Encyclopedia of Electrical Engineering [M]. New York: Wiley, 1999.
[11] Li T H S, Tsai S H. T-S Fuzzy Bilinear Model and Fuzzy Controller Design for a Class of Nonlinear Systems[J]. IEEE Trans on Fuzzy Syst, 2007, 15(3):494-505.
[12] Tsai S H, Li T H S. Robust Fuzzy Control of a Class Fuzzy Bilinear Systems with Time-delay[J]. Chaos, Solitons and Fractals, 2007(6): 057.
[13] Li T H S, Tsai S H. Robust H_∞ Fuzzy Control for a Class of Uncertain Discrete Fuzzy Bilinear Systems [J]. IEEE Trans on Syst, Man, Cybe, 2008, 38(2): 510-526.
[14] Wang R J, Lin W W, Wang W J. Stabilizability of Linear Quadratic State Feedback for Uncertain Fuzzy Time-delay Systems [J]. IEEE Trans on Syst, Man, Cybe, 2004, 34(2): 1288-1292.

非线性关联大系统的控制器设计

Design of the controller for nonlinear interconnected systems

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