Minimal control synthesis adaptive control of continuous bimodal piecewise affine systems

Author

di Bernardo, Mario ; Montanaro, Umberto ; Santini, Stefania

Author_Institution

Dept. of Syst. & Comput. Eng., Univ. of Naples Federico II, Naples, Italy

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

2637

Lastpage

2642

Abstract

This paper reviews the derivation of a model reference adaptive control (MRAC) scheme for bimodal piecewise-affine (PWA) continuous systems [9]. The algorithm is based on an extension of the minimal control synthesis algorithm, originally developed as an MRAC for smooth systems. The resulting adaptive algorithm is a switched feedback controller able to cope with uncertain continuous PWA systems. The effectiveness of the new proposed control strategy is shown by using it to achieve master slave synchronization of two PWA systems as a representative example.

Keywords

adaptive control; continuous time systems; control system synthesis; feedback; synchronisation; time-varying systems; uncertain systems; MRAC scheme; continuous bimodal piecewise affine systems; master slave synchronization; minimal control synthesis adaptive control; model reference adaptive control scheme; smooth systems; switched feedback controller; uncertain continuous PWA systems; Adaptation models; Adaptive control; Closed loop systems; Switches; Synchronization; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426399

Filename

6426399