二次D稳定约束下不确定T-S模糊系统的L∞鲁棒可靠控制

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (1): 142-146.

二次D稳定约束下不确定T-S模糊系统的L_∞鲁棒可靠控制

蔡俊伟1,2，胡寿松3，李志宇1

（1. 南京航空航天大学自动化学院，江苏南京 210016;2. 中国电子科技集团公司第二十八研究所，江苏南京 210007;3. 南京航空航天大学飞行控制研究所, 江苏南京 210016）

出版日期:2010-01-23 发布日期:2010-01-03

Robust reliable L_∞ control for uncertain T-S fuzzy systems with quadratic D stability constraints

CAI Jun-wei1,2，HU Shou-song3, LI Zhi-yu1

(1. Coll. of Automation Engineering， Nanjing Univ. of Aeronautics and Astronautics， Nanjing 210016, China; 2. The 28th Inst. of China Electronics Technology Group Corporation, Nanjing 210017, China;
3. Flight Control Inst., Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China)

Online:2010-01-23 Published:2010-01-03

摘要/Abstract

摘要：

针对一类受持续有界扰动的T-S不确定模糊系统，提出了考虑执行器故障的鲁棒可靠控制器设计方法。引入基于L_∞范数理论的鲁棒性能指标及二次D稳定的概念，给出了鲁棒可靠控制器存在的充分条件。通过求解线性矩阵不等式完成可靠控制器的设计，从而使系统即使在发生执行器故障的情况下仍能满足给定的L_∞性能指标，并且闭环系统二次D稳定。仿真实例表明了本方法的有效性。

Abstract:

For a class of uncertain T-S systems with persistent bounded disturbances, a design method for robust reliable controllers against actuator faults is presented. By introducing a robust performance based on the theory of L_∞norm and the notion of quadratic D stability, a sufficient condition for the exsistence of the robust reliable controllers is obtained. The design of reliable controllers can be achieved by solving linear matrix inequalities (LMI), thus meeting the required L_∞norm performance index and making the closedloop system be quadratic D stable even in the presence of actuator failures. Finlly, a simulaiton example illustrates the effectiveness of the proposed method.

蔡俊伟1,2，胡寿松3，李志宇1. 二次D稳定约束下不确定T-S模糊系统的L_∞鲁棒可靠控制[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 142-146.

CAI Jun-wei1,2，HU Shou-song3, LI Zhi-yu1. Robust reliable L_∞ control for uncertain T-S fuzzy systems with quadratic D stability constraints[J]. Journal of Systems Engineering and Electronics, 2010, 32(1): 142-146.