Finite-Time H∞ Inverse Optimal Control of Affine Nonlinear Systems

被引：4
作者：
Mo, Lipo [1 ]
机构：
[1] Beijing Technol & Business Univ, Sch Sci, Beijing 100048, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2013年 / 32卷 / 01期
关键词：
Finite-time stability; H-infinity control; Inverse optimality; Control Lyapunov function; STABILIZATION; STABILITY; FEEDBACK;
D O I：
10.1007/s00034-012-9442-x
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper is focused on the problem of the finite-time H (a) inverse optimal control for affine nonlinear systems. Based on the finite-time control Lyapunov function, we derive a sufficient condition for the existence of time-invariant, continuous, finite-time stabilizing and inverse optimal state feedback control law, and propose a universal formula for constructing the finite-time H (a) inverse optimal control law. We investigate the relationship between the finite-time stabilization and the finite-time H (a) inverse optimal control. Finally, some examples are given to illustrate the effectiveness of the presented results.
引用
收藏
页码：47 / 60
页数：14
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