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

作　　者：Yang GUO Yu YAO Shicheng WANG Baoqing YANG Kai LIU Xin ZHAO 

机构地区：[1]Department of Research, Xi'an Research Institute of High-Tech [2]Control and Simulation Center, Harbin Institute of Technology

出　　处：《控制理论与应用（英文版）》2013年第2期165-172,共8页

基　　金：supported by the National Natural Science Foundation of China(Nos.61004128,61074160,61104193)

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.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.

关 键 词：Finite-time H-infinity control LMIS DRIS Terminal guidance 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TN911.7[自动化与计算机技术—控制科学与工程]