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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
【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.
【Key words】 T-S fuzzy control system; stability analysis; two-overlapped fuzzy partition; lyapunov function;
- 【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