Positive Real Control of Singularly Perturbed System

Author

Wu, Han-mei ; Cai, Chen-xiao ; Zou, Yun

Author_Institution

Inst. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing

Volume

1

fYear

2008

fDate

20-22 Oct. 2008

Firstpage

1101

Lastpage

1105

Abstract

Positive realness is very important to discuss in hybrid systems, but it is seldom in the singularly perturbed system (SPS). According to positive real lemma of regular systems and singular systems, positive real lemma is given about the SPS in the paper. Based on the solution to matrix inequalities, sufficient and necessary conditions for positive real state feedback control design are derived. An example is worked out to illustrate effect of the method and the simulative output results are given by the MATLAB.

Keywords

closed loop systems; control system synthesis; linear matrix inequalities; singularly perturbed systems; state feedback; transfer functions; MATLAB; matrix inequalities; positive real control; positive real lemma; singularly perturbed system; state feedback control design; Automatic control; Automation; Circuit stability; Control systems; Linear matrix inequalities; MATLAB; Parameter estimation; State feedback; Transfer functions; Vectors; Linear Matrix Inequality; Positive Realness; Singularly Perturbed System; States Feedback Control;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computation Technology and Automation (ICICTA), 2008 International Conference on

Conference_Location

Hunan

Print_ISBN

978-0-7695-3357-5

Type

conf

DOI

10.1109/ICICTA.2008.50

Filename

4659662