[1]曾涛,赵胜凯..一类非线性系统的鲁棒耗散容错控制[J].郑州大学学报(工学版),2007,28(04):84-87.[doi:10.3969/j.issn.1671-6833.2007.04.021]
　ZENG Tao,Zhao Shengkai.Robust dissipative fault-tolerant control of a class of nonlinear systems[J].Journal of Zhengzhou University (Engineering Science),2007,28(04):84-87.[doi:10.3969/j.issn.1671-6833.2007.04.021]

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一类非线性系统的鲁棒耗散容错控制()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

28

期数:

2007年04期

页码:

84-87

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Robust dissipative fault-tolerant control of a class of nonlinear systems

作者:

曾涛; 赵胜凯.

北京交通大学,电子信息工程学院,北京,100044, 北京交通大学,电子信息工程学院,北京,100044

Author(s):

ZENG Tao; Zhao Shengkai

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)

Keywords:

nonlinear systems;  uncertainty;  Actuator failure;  Strict dissipation;  LMI (Linear Matrix Inequality).

DOI:

10.3969/j.issn.1671-6833.2007.04.021

文献标志码:

A

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.

Abstract:

Aiming at a class of nonlinear systems and strict dissipation requirements with norm bounded time-varying parameter uncertainty represented by T-S fuzzy model, a robust dissipative fault-tolerant controller design method with stable and strictly dissipated system during actuator failure is proposed. Applying the parallel distributed control and linear matrix inequality methods, the sufficient conditions for the existence of the fault-tolerant controller in the system dissipated in the event of actuator failure are obtained, and the closed-loop system is robust to the allowable parameter uncertainty. The convex optimization problem of linear matrix inequality constraint is further established and solved, and the design method of fuzzy fault-tolerant controller with stable and strict dissipation system is given. The simulation results show the feasibility and effectiveness of the proposed method.

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