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离散T-S模糊控制系统的稳定性分析与系统化设计

Stability Analysis and Systematic Design of Discrete T-S Fuzzy Control Systems

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【作者】 张松涛任光

【Author】 ZHANG Song-tao, REN Guang (Marine Engineering College, Dalian Maritime University, Dalian 116026, Liaoning Province, China)

【机构】 大连海事大学轮机工程学院大连海事大学轮机工程学院 辽宁省大连市116026辽宁省大连市116026

【摘要】 研究了离散T-S模糊控制系统的稳定性判定方法和系统化设计方法:在所有的最大交叠规则组中构造出分段离散型Lyapunov函数,每个离散Lyapunov函数是各自最大交叠规则组中的一个Lyapunov函数。在此基础上,提出了一个新的判定系统稳定性的充分条件,该条件仅需在每个最大交叠规则组中分别寻找各自公共的正定矩阵。较之以往稳定性判定方法,此方法不仅克服了需要寻找一个公共矩阵的不足,而且也减少了求解Lyapunov不等式的个数。文中利用并行分布补偿方法设计了模糊控制器,仿真示例说明了此方法的有效性和优越性。

【Abstract】 The stability analysis and systematic design of discrete T-S fuzzy control systems are discussed in this paper. First, a piecewise discrete Lyapunov function is constructed in all maximal overlapped-rule groups. Each discrete Lyapunov function lies in its own maximal overlapped-rule group. Then, a new sufficient condition to check the stability of discrete T-S fuzzy systems is proposed. This condition only requires finding a common positive definite matrix in each maximal overlapped-rule group. Compared with former stability analysis approaches, this approach can not only overcome the defect of finding a common positive definite matrix but also reduce the number of solving Lyapunov inequalities largely. In addition, a fuzzy controller is designed by using the method of parallel distributed compensation. At last, a simulation example shows the approach is effective and advantageous.

【基金】 高等学校博士学科点专项科研基金项目(20030151005);交通部交通应用基础研究基金项目200332922505)。
  • 【文献出处】 中国电机工程学报 ,Proceedings of the CSEE , 编辑部邮箱 ,2006年07期
  • 【分类号】TP273.4
  • 【被引频次】11
  • 【下载频次】392
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