Hybrid Model Reference Adaptive Control of Piecewise Affine Systems

Mario di Bernardo; Umberto Montanaro; Stefania Santini

doi:10.1109/TAC.2012.2212516

Hybrid Model Reference Adaptive Control of Piecewise Affine Systems

Mario di Bernardo^*
, Umberto Montanaro
, Stefania Santini

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

107 Citations (Scopus)

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.

Original language	English
Pages (from-to)	304-316
Number of pages	13
Journal	IEEE Transactions on Automatic Control
Volume	58
Issue number	2
Early online date	7 Aug 2012
DOIs	https://doi.org/10.1109/TAC.2012.2212516
Publication status	Published - Feb 2013

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

CONTROL SYNTHESIS ALGORITHM
hybrid and switching control
switched systems
Adaptive control
SYNCHRONIZATION
ROBUSTNESS
STABILITY
TRACKING CONTROL
SWITCHED SYSTEMS
PWA SYSTEMS
OBSERVER-BASED CONTROL

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title = "Hybrid Model Reference Adaptive Control of Piecewise Affine Systems",

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 = "CONTROL SYNTHESIS ALGORITHM, hybrid and switching control, switched systems, Adaptive control, SYNCHRONIZATION, ROBUSTNESS, STABILITY, TRACKING CONTROL, SWITCHED SYSTEMS, PWA SYSTEMS, OBSERVER-BASED CONTROL",

author = "\{di Bernardo\}, Mario and Umberto Montanaro and Stefania Santini",

year = "2013",

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doi = "10.1109/TAC.2012.2212516",

language = "English",

volume = "58",

pages = "304--316",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

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TY - JOUR

T1 - Hybrid Model Reference Adaptive Control of Piecewise Affine Systems

AU - di Bernardo, Mario

AU - Montanaro, Umberto

AU - Santini, Stefania

PY - 2013/2

Y1 - 2013/2

N2 - 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.

AB - 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.

KW - CONTROL SYNTHESIS ALGORITHM

KW - hybrid and switching control

KW - switched systems

KW - Adaptive control

KW - SYNCHRONIZATION

KW - ROBUSTNESS

KW - STABILITY

KW - TRACKING CONTROL

KW - SWITCHED SYSTEMS

KW - PWA SYSTEMS

KW - OBSERVER-BASED CONTROL

U2 - 10.1109/TAC.2012.2212516

DO - 10.1109/TAC.2012.2212516

M3 - Article (Academic Journal)

SN - 0018-9286

VL - 58

SP - 304

EP - 316

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 2

ER -

Hybrid Model Reference Adaptive Control of Piecewise Affine Systems

Abstract

Research Groups and Themes

Keywords

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