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。
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.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2006年第7期113-117,共5页
Proceedings of the CSEE
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)。
