Finite-time control with H-infinity constraints of linear time-invariant and time-varying systems

被引：0

作者：

Yang GUO ^{[1
,2
]}

Yu YAO ^{[2
]}

Shicheng WANG ^{[1
]}

Baoqing YANG ^{[2
]}

Kai LIU ^{[2
]}

Xin ZHAO ^{[1
]}

机构：

[1] Department of Research, Xi'an Research Institute of High-Tech

[2] Control and Simulation Center, Harbin Institute of Technology

来源：

Control Theory and Technology | 2013年 / 11卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Finite-time H-infinity control; LMIs; DRIs; Terminal guidance;

D O I：

暂无

中图分类号：

TP13 [自动控制理论];

学科分类号：

0711 ; 071102 ; 0811 ; 081101 ; 081103 ;

摘要：

This paper presents finite-time control methods with H-infinity constraints for linear time-invariant (LTI) and time-varying (LTV) systems. The basic idea of the proposed approaches is to construct controllers for the LTI and LTV in such a way that a constant quadratic Lyapunov function and a time-varying quadratic Lyapunov function can be used to establish the finite-time stability and the H-infinity performance of the resulting closed-loop systems. It is shown that the control laws can be obtained by solving a set of linear matrix inequalities (LMIs) and Differential Riccati Inequalities (DRIs) that are numerically feasible with commercially available software. Finally, the results are illustrated by application to the design of guidance law for a class of terminal guidance system.

引用

页码：165 / 172

页数：8

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