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

被引：16
|
作者：
Guo Y. [1 ,2 ]
Yao Y. [2 ]
Wang S. [1 ]
Yang B. [2 ]
Liu K. [2 ]
Zhao X. [1 ]
机构：
[1] Department of Research, Xi'an Research Institute of High-Tech, Xi'an Shaanxi
[2] Control and Simulation Center, Harbin Institute of Technology, Harbin Heilongjiang
来源：
Journal of Control Theory and Applications | 2013年 / 11卷 / 2期
基金：
中国国家自然科学基金;
关键词：
DRIs; Finite-time H-infinity control; LMIs; Terminal guidance;
D O I：
10.1007/s11768-013-1167-2
中图分类号：
学科分类号：
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. © 2013 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：165 / 172
页数：7
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