一类非线性系统的鲁棒耗散容错控制  

Robust Dissipative Fault Tolerant Control for A Class of Nonlinear Systems

作　　者：曾涛[1] 赵胜凯[1] 

机构地区：[1]北京交通大学电子信息工程学院,北京100044

出　　处：《郑州大学学报（工学版）》2007年第4期84-87,共4页Journal of Zhengzhou University（Engineering Science）

摘　　要：针对一类基于T-S模糊模型表示的具有范数有界时变参数不确定性的非线性系统和严格耗散要求,提出在执行器故障时系统稳定且严格耗散的鲁棒耗散容错控制器设计方法.应用并行分布式控制及线性矩阵不等式的方法,得出了系统在执行器故障时耗散容错控制器存在的充分条件,并且使闭环系统对于允许的参数不确定性具有鲁棒性.进一步建立和求解线性矩阵不等式约束的凸优化问题,给出了系统稳定且严格耗散的模糊容错控制器的设计方法.仿真结果表明该方法的可行性和有效性.For a class of nonlinear systems with norm - bounded time - varying parameter uncertainty based on T- S fuzzy model and the requirement of strict dissipativeness, the method of designing a robust dissipative fault tolerant controller when actuator faults occur is proposed in this paper. By use of the methods of parallel -distributed （compensation） and linear matrix inequality, the sufficient conditions are derived for the existence of robust dissipative fault tolerant controllers when actuator faults occur, and with the controller the closed loop system is robust and stable for the admissible parameter uncertainty. Furthermore, a convex optimization problem with LMI constraints is formulated to give the method of designing the robust dissipative fault tolerant controller which makes the closed loop system stable and strict dissipative. Simulation shows the feasibility and validity of this method.

关 键 词：非线性系统 不确定性 执行器失效 严格耗散 LMI(线性矩阵不等式) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]