Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent Noise

Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent Noise

This paper deals with dynamic output feedback control of continuous-time active fault tolerant control systems with Markovian parameters (AFTCSMP) and state-dependent noise. The main contribution is to formulate conditions for multiperfo...

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Main Authors: S. Aberkane, J. C. Ponsart, D. Sauter
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2007/31561
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spelling doaj-2618e84ff6c145d88578fb6737a1efe62020-11-24T23:30:23ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472007-01-01200710.1155/2007/3156131561Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent NoiseS. Aberkane0J. C. Ponsart1D. Sauter2Centre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS), UMR 7039, Université Henri Poincaré, Nancy 1, BP 239, Vandœuvre-lès-Nancy Cedex 54506, FranceCentre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS), UMR 7039, Université Henri Poincaré, Nancy 1, BP 239, Vandœuvre-lès-Nancy Cedex 54506, FranceCentre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS), UMR 7039, Université Henri Poincaré, Nancy 1, BP 239, Vandœuvre-lès-Nancy Cedex 54506, FranceThis paper deals with dynamic output feedback control of continuous-time active fault tolerant control systems with Markovian parameters (AFTCSMP) and state-dependent noise. The main contribution is to formulate conditions for multiperformance design, related to this class of stochastic hybrid systems, that take into account the problematic resulting from the fact that the controller only depends on the fault detection and isolation (FDI) process. The specifications and objectives under consideration include stochastic stability, ℋ2 and ℋ∞ (or more generally, stochastic integral quadratic constraints) performances. Results are formulated as matrix inequalities. The theoretical results are illustrated using a classical example from literature.http://dx.doi.org/10.1155/2007/31561
collection DOAJ
language English
format Article
sources DOAJ
author S. Aberkane
J. C. Ponsart
D. Sauter
spellingShingle S. Aberkane
J. C. Ponsart
D. Sauter
Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent Noise
Mathematical Problems in Engineering
author_facet S. Aberkane
J. C. Ponsart
D. Sauter
author_sort S. Aberkane
title Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent Noise
title_short Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent Noise
title_full Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent Noise
title_fullStr Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent Noise
title_full_unstemmed Multiobjective Output Feedback Control of a Class of Stochastic Hybrid Systems with State-Dependent Noise
title_sort multiobjective output feedback control of a class of stochastic hybrid systems with state-dependent noise
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2007-01-01
description This paper deals with dynamic output feedback control of continuous-time active fault tolerant control systems with Markovian parameters (AFTCSMP) and state-dependent noise. The main contribution is to formulate conditions for multiperformance design, related to this class of stochastic hybrid systems, that take into account the problematic resulting from the fact that the controller only depends on the fault detection and isolation (FDI) process. The specifications and objectives under consideration include stochastic stability, ℋ2 and ℋ∞ (or more generally, stochastic integral quadratic constraints) performances. Results are formulated as matrix inequalities. The theoretical results are illustrated using a classical example from literature.
url http://dx.doi.org/10.1155/2007/31561
work_keys_str_mv AT saberkane multiobjectiveoutputfeedbackcontrolofaclassofstochastichybridsystemswithstatedependentnoise
AT jcponsart multiobjectiveoutputfeedbackcontrolofaclassofstochastichybridsystemswithstatedependentnoise
AT dsauter multiobjectiveoutputfeedbackcontrolofaclassofstochastichybridsystemswithstatedependentnoise
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