Output feedback reset control of general MIMO LTI systems

Author

Chengzhi Yuan ; Fen Wu

Author_Institution

North Carolina State Univ., Raleigh, NC, USA

fYear

2014

fDate

24-27 June 2014

Firstpage

2334

Lastpage

2339

Abstract

This paper presents a systematic Lyapunov-based approach for output-feedback reset control of linear time-invariant (LTI) systems with a general multiple-input multiple-output (MIMO) configuration. The reset controller consists of a base linear controller and a reset law that enforces resets to the controller states. Based on the extended Lyapunov-like function (ELF) technique, the reset controller with guaranteed exponential stability and weighted L₂-gain performance is synthesized by solving a set of linear matrix inequalities (LMIs) with linear search over two scalar variables. A numerical example is used to illustrate the effectiveness of the proposed approach.

Keywords

Lyapunov methods; MIMO systems; asymptotic stability; feedback; linear matrix inequalities; linear systems; search problems; ELF technique; LMI; base linear controller; extended Lyapunov-like function technique; general MIMO LTI systems; guaranteed exponential stability; linear matrix inequalities; linear search; linear time-invariant systems; multiple-input multiple-output configuration; output-feedback reset control; scalar variables; systematic Lyapunov-based approach; weighted L₂-gain performance; Closed loop systems; Geophysical measurement techniques; Ground penetrating radar; Linear matrix inequalities; MIMO; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2014 European

Conference_Location

Strasbourg

Print_ISBN

978-3-9524269-1-3

Type

conf

DOI

10.1109/ECC.2014.6862225

Filename

6862225