一类动态系统可靠 D -稳定性条件 - LMI方法

数学物理学报

一类动态系统可靠 D -稳定性条件 - LMI方法

周武能 ;苏宏业 ; 褚健

工业控制国家重点实验室,浙江大学先进控制研究所杭州 310027;

东华大学信息科学与技术学院自动化系上海 201620

收稿日期:2006-09-23 修回日期:2007-08-09 出版日期:2008-02-25 发布日期:2008-02-25
通讯作者: 周武能
基金资助:
国家自然科学基金(60503027)资助

Condition of Reliable D Stability for a Class of Dynamic

Systems-an LMI Approach

Zhou Wuneng ^;Su Hongye;Chu Jian

National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Yuquan Compas, Hangzhou 310027;

College of Information Science Technology, Donghua University, Shanghai 200051

Received:2006-09-23 Revised:2007-08-09 Online:2008-02-25 Published:2008-02-25
Contact: Zhou Wuneng

摘要/Abstract

摘要： 考虑一类具有执行器和传感器故障的动力系统可靠鲁棒控制综合问题. 提出了一个系统 D -稳定的充分必要条件. 基于这一充分必要条件, 得到了可靠 H_∞控制器存在的条件. 接着用线性矩阵不等式(LMI)方法设计控制器, 使闭环系统当部分控制器件出现故障时鲁棒 D -稳定且具有H_∞性能. 最后通过一个仿真实例说明该文给出的方法及其有效性

关键词: 动力系统, D -稳定性, 可靠控制, 线性矩阵不等式(LMI)

Abstract: The synthesis problem of reliable robust control for a class of dynamic systems is considered. A practical and general faults model with sensor, actuator is addressed. A necessary and sufficient condition of D -stability is presented, based on which a sufficient condition of existence of the reliable H_∞ controller is given for the case of sensor, actuator failures. The reliable H_∞controller is designed in terms of linear matrix inequalities (LMIs), which guarantees the closed-loop to be D -stable and possesses H_∞ performance when all control components are operational as well as some control components experience failures. Finally, a numerical example is given to illustrate the design procedures and the effectiveness.

Key words: Dynamic systems, D -stability, Reliable control, Linear matrix inequality (LMI).

中图分类号:

65L12

周武能 ;苏宏业 ; 褚健. 一类动态系统可靠 D -稳定性条件 - LMI方法[J]. 数学物理学报, 2008, 28(1): 144-154.

Zhou Wuneng ;Su Hongye;Chu Jian.

Condition of Reliable D Stability for a Class of Dynamic

Systems-an LMI Approach

[J]. Acta mathematica scientia,Series A, 2008, 28(1): 144-154.

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