Hybrid Model Reference Adaptive Control of Piecewise Affine Systems

Author

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

Author_Institution

Ist. Motori, Naples, Italy

Volume

58

Issue

2

fYear

2013

fDate

Feb. 2013

Firstpage

304

Lastpage

316

Abstract

This paper is concerned with the derivation of a model reference adaptive control (MRAC) scheme for multimodal piecewise-affine (PWA) and piecewise-linear systems. The control allows the plant to track asymptotically the states of a multimodal piecewise affine (or smooth) reference model. The reference model can be characterized by a number and geometry of phase space regions that can be entirely different from those of the plant. Numerical simulations on a set of representative examples confirm the theoretical derivation and proof of stability.

Keywords

model reference adaptive control systems; numerical analysis; phase space methods; piecewise linear techniques; stability; MRAC scheme; asymptotic state tracking; hybrid model reference adaptive control; multimodal PWA systems; multimodal piecewise affine reference model; numerical simulations; phase space regions; piecewise affine systems; piecewise linear systems; stability; Adaptation models; Asymptotic stability; Numerical stability; Stability analysis; Switches; Trajectory; Adaptive control; hybrid and switching control; switched systems;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2012.2212516

Filename

6263274