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

Aberkane, S.; Ponsart, J. C.; Sauter, D.

doi:https://doi.org/10.1155/2007/31561

Mathematical Problems in Engineering

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Research Article | Open Access

Volume 2007 | Article ID 031561 | https://doi.org/10.1155/2007/31561

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

S. Aberkane,¹J. C. Ponsart,¹and D. Sauter¹

Academic Editor: Nahum Shimkin

Received27 Mar 2006

Revised12 Jan 2007

Accepted09 Mar 2007

Published15 May 2007

Abstract

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.

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Copyright

Copyright © 2007 S. Aberkane et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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