Nonlinear control design for linear differential inclusions via convex hull of quadratics

被引：71

作者：

Hu, Tingshu ^{[1
]}

机构：

[1] Univ Massachusetts, Dept Elect & Comp Engn, Lowell, MA 01854 USA

来源：

AUTOMATICA | 2007年 / 43卷 / 04期

基金：

美国国家科学基金会;

关键词：

linear differential inclusion; nonlinear feedback; Lyapunov functions; robust stability; robust performance;

D O I：

10.1016/j.automatica.2006.10.015

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a nonlinear control design method for robust stabilization and robust performance of linear differential inclusions (LDIs). A recently introduced non-quadratic Lyapunov function, the convex hull of quadratics, will be used for the construction of nonlinear state feedback laws. Design objectives include stabilization with maximal convergence rate, disturbance rejection with minimal reachable set and least L-2 gain. Conditions for stabilization and performances are derived in terms of bilinear matrix inequalities (BMIs), which cover the existing linear matrix inequality (LMI) conditions as special cases. Numerical examples demonstrate the advantages of using nonlinear feedback control over linear feedback control for LDIs. It is also observed through numerical computation that nonlinear control strategies help to reduce control effort substantially. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：685 / 692

页数：8

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