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Type: Journal article
Title: Sliding mode control with bounded ℒ₂ gain performance of Markovian jump singular time-delay systems
Other Titles: Sliding mode control with bounded L2 gain performance of Markovian jump singular time-delay systems
Author: Wu, L.
Su, X.
Shi, P.
Citation: Automatica, 2012; 48(8):1929-1933
Publisher: Pergamon-Elsevier Science Ltd
Issue Date: 2012
ISSN: 0005-1098
Statement of
Ligang Wu, Xiaojie Su, Peng Shi
Abstract: In this paper, we investigate the problem of sliding mode control (SMC) of Markovian jump singular time-delay systems. The aim is to consider the bounded ℒ 2 gain performance in the analysis of sliding mode dynamics, thus to improve the transient performance of the SMC system. Firstly, a delay-dependent bounded real lemma is proposed for the underlying system to be stochastically admissible while achieving the prescribed bounded ℒ 2 gain performance condition. An integral-type switching surface function is designed by taking the singular matrix into account, thus the resulting sliding mode dynamics is a full-order singular Markovian jump time-delay system. Then the sliding mode dynamics is analyzed and the solvability condition for the desired switching surface function is derived. Moreover, an SMC law is synthesized to drive the system trajectories onto the predefined switching surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed techniques. © 2012 Elsevier Ltd. All rights reserved.
Keywords: Sliding mode control
Markovian jump systems
Singular systems
Bounded ℒ2 gain performance
Rights: Copyright © 2012 Elsevier Ltd. All rights reserved.
DOI: 10.1016/j.automatica.2012.05.064
Appears in Collections:Aurora harvest 4
Electrical and Electronic Engineering publications

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