Stabilization of continuous-time switched linear positive systems

Author

Zappavigna, A. ; Colaneri, P. ; Geromel, J.C. ; Middleton, R.

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

3275

Lastpage

3280

Abstract

In this paper we considered a few problems related to linear positive switched systems. First, we provide a result on state-feedback stabilization of autonomous linear positive switched systems through piecewise linear co-positive Lyapunov functions. This is accompanied by a side result on the existence of a switching law guaranteeing an upper bound to the optimal L₁ cost. Then, the induced L₁ guaranteed cost cost is tackled, through constrained piecewise linear co-positive Lyapunov functions. The optimal L₁ cost control is finally studied via Hamiltonian function analysis.

Keywords

Lyapunov methods; continuous time systems; cost optimal control; linear systems; piecewise linear techniques; state feedback; Hamiltonian function analysis; autonomous linear positive switched system; continuous time system; optimal cost control; piecewise linear co-positive Lyapunov functions; state feedback stabilization; Asymptotic stability; Control systems; Cost function; Hidden Markov models; Lyapunov method; Optimal control; Piecewise linear techniques; Switched systems; Thermal pollution; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5530691

Filename

5530691