Analysis and control synthesis of continuous-time passive switched linear systems

Author

Geromel, José C. ; Colaneri, Patrizio ; Bolzern, Paolo

Author_Institution

Sch. of Electr. &, Comput. Eng., Univ. of Campinas, Campinas, Brazil

fYear

2010

fDate

17-20 Nov. 2010

Abstract

Passivity is one of the key concepts related to LTI systems. Passive systems are not only stable but they are intrinsically robustly stable with respect to a wide class of feedback disturbance. Passivity can be characterized either in time domain or in frequency domain from positive realness. This paper aims to generalize this concept to continuous-time switched linear systems. Analysis is performed by taking into account state dependent and arbitrary time dependent switching function with a prescribed dwell time. A control design problem related to the determination of a switching strategy, based upon output measurements, that renders a switched linear system passive is also considered. A simple example of passivation by means of a switching function illustrates the theoretical results.

Keywords

continuous time systems; control system analysis; control system synthesis; feedback; linear systems; time-varying systems; account state dependent; arbitrary time dependent switching function; continuous-time passive switched linear systems; control design problem; control synthesis; feedback disturbance; switching function; Linear matrix inequalities; Linear systems; Optimal control; Riccati equations; Stability analysis; Switched systems; Switches;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Electronics Engineers in Israel (IEEEI), 2010 IEEE 26th Convention of

Conference_Location

Eliat

Print_ISBN

978-1-4244-8681-6

Type

conf

DOI

10.1109/EEEI.2010.5662213

Filename

5662213