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T-S模糊控制系统稳定性分析及控制器设计 被引量：4

Stability Analysis and Fuzzy Controller Design for T-S Fuzzy Control System
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摘要 研究了在新型的模糊Lyapunov方法下连续T-S模糊控制系统稳定性和模糊控制器设计问题,首先,得出了自由系统新的稳定性充分条件,这个条件具有更大的宽松性;然后基于一系列线性矩阵不等式设计了模糊控制器,这些矩阵不等式可以利用凸优化技术来进行解决。通过对两个具体的实例的仿真验证了本算法的有效性。 The stability analysis and fuzzy controller design problem of T-S continuous-time fuzzy system were discussed based on news fuzzy Lyapunov method. First, a new sufficient condition of the stability of the autonomous system was proposed, and the condition was more relaxed. Then the fuzzy controller was designed based on a series of LMls, and the obtained LMIs could be solved by convex optimization. The simulation of two examples shows that these methods are effective.
作者 常晓恒 井元伟 高曦莹 刘晓平
机构地区 东北大学信息科学与工程学院 辽宁工程技术大学电气工程系
出处 《系统仿真学报》 EI CAS CSCD 北大核心 2007年第24期5624-5627,共4页 Journal of System Simulation
基金 国家自然科学基金(60274099) 教育部博士点基金项目(20020145007)。
关键词 Takagi-Sugeno(T-S)模糊控制系统 模糊Lyapunov方法 稳定性分析 模糊控制器设计 Takagi-Sugeno （T-S） fuzzy control system fuzzy Lyapunov method stability analysis fuzzy controller desien
分类号 U664.7 [交通运输工程—船舶及航道工程] TP273.4 [自动化与计算机技术—检测技术与自动化装置]
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参考文献10

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  • 6Liu X D, Zhang Q L. New approach H∞ controller designs based on fuzzy observer for T-S fuzzy systems via LMI [J]. Atuomatica (S0005-1098), 2003, 39(5): 1571-1582.
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同被引文献22

  • 1徐利梅,高心,邵士泉.Liu混沌系统基于T-S模糊模型的控制方法[J].西南民族大学学报（自然科学版）,2006,32(5):1030-1032. 被引量：3
  • 2修智宏,任光.T-S模糊控制系统的稳定性分析及系统化设计[J].自动化学报,2004,30(5):731-741. 被引量：34
  • 3孙佳丽,夏国清,孙 锋.H_∞控制方法在核反应堆功率控制中的应用[J].应用科技,2005,32(8):46-48. 被引量：6
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  • 5Tanaka K, Sugeno M. Stability analysis and design of fuzzy control systems [J]. Fuzzy Sets and Systems (S0165-0114), 1992, 45(2): 135-156.
  • 6Tanaka K, Ikeda T, Wang H O. Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs [J]. IEEE Trans. Fuzzy Systems (S1063-6706), 1998, 6(2): 250-265.
  • 7Kim E, Lee H. New approaches to relaxed quadratic stability condition of fuzzy control systems [J]. IEEE Trans. Fuzzy Systems (S1063-6706), 2002, 8(5): 523-533.
  • 8Liu X D, Zhang Q L. New approach H∞ controller designs based on fuzzy observer for T-S fuzzy systems via LMI [J]. Atuomatica (S0005-1098), 2003, 39(5): 1571-1582.
  • 9Fang C H, Liu Y S, Kau S W, Hong L, Lee C H. A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems [J]. IEEE Trans. Fuzzy Systems (S1063-6706), 2006, 14(3): 386-397.
  • 10Guerra T M, Vermeiren L. LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form [J]. Automatica (S0005-1098), 2004, 40(5): 823-829.

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系统仿真学报
2007年 第24期

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