Analysis and synthesis of linear hybrid systems with state-triggered jumps

被引：20

作者：

Yuan, Chengzhi ^{[1
]}

Wu, Fen ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2014年 / 14卷

基金：

美国国家科学基金会;

关键词：

Hybrid controller synthesis; Impulsive systems; Reset control; Linear matrix inequality; LYAPUNOV FUNCTIONS; FEEDBACK-CONTROL; STABILITY; ROBUST; LOOPS;

D O I：

10.1016/j.nahs.2014.05.002

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 investigates First the stability and L-2-gain problems for a class of linear hybrid control systems with state-triggered jumps by using an extended Lyapunov-like function (ELF) technique. The obtained results are then applied to facilitate the joint design of a hybrid controller (linear controller plus reset law) for a continuous-time linear time-invariant (LTI) plant. The hybrid H-infinity synthesis conditions are expressed in linear matrix inequalities (LMIs) with two line search parameters. An inverted pendulum example is used to illustrate the effectiveness of the proposed approach. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：47 / 60

页数：14

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