Novel switched model reference adaptive control for continuous piecewise affine systems

M Di Bernardo; U. Montanaro; S. Santini

doi:10.1109/CDC.2008.4739182

Novel switched model reference adaptive control for continuous piecewise affine systems

M Di Bernardo, U. Montanaro, S. Santini

Department of Engineering Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

37 Citations (Scopus)

Abstract

This paper is concerned with the derivation of a novel model reference adaptive control (MRAC) scheme for piecewise-affine (PWA) continuous systems. A novel version of the minimal control synthesis algorithm, originally developed as a MRAC for smooth systems, is presented. The resulting adaptive algorithm is a switched feedback controller able to cope with uncertain continuous PWA systems. The proof of stability, based on the newly developed passivity theory for hybrid systems, is provided and the effectiveness of the new proposed control strategy is numerically tested.

Translated title of the contribution	Novel switched model reference adaptive control for continuous piecewise affine systems
Original language	English
Title of host publication	IEEE Conference on Decision and Control, CDC08
Pages	1925 - 1930
DOIs	https://doi.org/10.1109/CDC.2008.4739182
Publication status	Published - Dec 2008

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Name and Venue of Event: Cancun, Mexico

Research Groups and Themes

Engineering Mathematics Research Group

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10.1109/CDC.2008.4739182

http://ieeexplore.ieee.org/xpls/abs_all.jsp?tp=&arnumber=4739182&tag=1

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title = "Novel switched model reference adaptive control for continuous piecewise affine systems",

abstract = "This paper is concerned with the derivation of a novel model reference adaptive control (MRAC) scheme for piecewise-affine (PWA) continuous systems. A novel version of the minimal control synthesis algorithm, originally developed as a MRAC for smooth systems, is presented. The resulting adaptive algorithm is a switched feedback controller able to cope with uncertain continuous PWA systems. The proof of stability, based on the newly developed passivity theory for hybrid systems, is provided and the effectiveness of the new proposed control strategy is numerically tested.",

author = "{Di Bernardo}, M and U. Montanaro and S. Santini",

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N2 - This paper is concerned with the derivation of a novel model reference adaptive control (MRAC) scheme for piecewise-affine (PWA) continuous systems. A novel version of the minimal control synthesis algorithm, originally developed as a MRAC for smooth systems, is presented. The resulting adaptive algorithm is a switched feedback controller able to cope with uncertain continuous PWA systems. The proof of stability, based on the newly developed passivity theory for hybrid systems, is provided and the effectiveness of the new proposed control strategy is numerically tested.

AB - This paper is concerned with the derivation of a novel model reference adaptive control (MRAC) scheme for piecewise-affine (PWA) continuous systems. A novel version of the minimal control synthesis algorithm, originally developed as a MRAC for smooth systems, is presented. The resulting adaptive algorithm is a switched feedback controller able to cope with uncertain continuous PWA systems. The proof of stability, based on the newly developed passivity theory for hybrid systems, is provided and the effectiveness of the new proposed control strategy is numerically tested.

U2 - 10.1109/CDC.2008.4739182

DO - 10.1109/CDC.2008.4739182

M3 - Conference Contribution (Conference Proceeding)

SN - 9781424431236

SP - 1925

EP - 1930

BT - IEEE Conference on Decision and Control, CDC08

ER -

Novel switched model reference adaptive control for continuous piecewise affine systems

Abstract

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