Stability and Stabilization for a class of Polynomial Discrete Fuzzy Systems with Time Delay by Sum-of-Squares Optimization

摘要：

The paper presents stability and stabilization conditions of a class of polynomial discrete fuzzy systems with time delay, using the sum-of-squares (SOS) approach. First, through employing a parameter dependent discrete Lyapunov-Krasovskii functional, with some free weighting matrices, a delay-dependent stability criterion is obtained. Nest, Based on the fuzzy control approach (PDC), controller synthesis can be done. Both of them are represented in terms of SOS, which can be efficiently solved via the recent developed SOSTOOLS. Simulation examples are given to verify the stability analysis results and demonstrate the effectiveness of controller design method.

关键词： polynomial discrete fuzzy system time delay sum-of-squares (SOS) stability stabilization

作者: Fugui Zhang Lizhen Li Weiqun Wang

作者单位: School of Science,Nanjing University of Science and Technology,Nanjing, China

会议类型: 国际会议

会议名称: 2011 Eighth International Conference on Fuzzy System and Knowledge Discovery(第八届模糊系统与知识发现国际会议 FSKD 2011)

会议地点: 上海

会议语种:英文

页码: 731-735

在线出版日期: 2011-07-26（万方平台首次上网日期，不代表论文的发表时间）