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https://hdl.handle.net/2440/83332
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Type: | Journal article |
Title: | Backstepping controller design for a class of stochastic nonlinear systems with Markovian switching |
Author: | Wu, Z. Xie, X. Shi, P. Xia, Y. |
Citation: | Automatica, 2009; 45(4):997-1004 |
Publisher: | Pergamon-Elsevier Science Ltd |
Issue Date: | 2009 |
ISSN: | 0005-1098 1873-2836 |
Statement of Responsibility: | Zhao-Jing Wu, Xue-Jun Xie, Peng Shi, Yuan-qing Xia |
Abstract: | A more general class of stochastic nonlinear systems with irreducible homogenous Markovian switching are considered in this paper. As preliminaries, the stability criteria and the existence theorem of strong solutions are first presented by using the inequality of mathematic expectation of a Lyapunov function. The state-feedback controller is designed by regarding Markovian switching as constant such that the closed-loop system has a unique solution, and the equilibrium is asymptotically stable in probability in the large. The output-feedback controller is designed based on a quadratic-plus-quartic-form Lyapunov function such that the closed-loop system has a unique solution with the equilibrium being asymptotically stable in probability in the large in the unbiased case and has a unique bounded-in-probability solution in the biased case. © 2008 Elsevier Ltd. All rights reserved. |
Keywords: | Nonlinear stochastic systems Backstepping Markovian switching |
Rights: | © 2008 Elsevier Ltd. All rights reserved |
DOI: | 10.1016/j.automatica.2008.12.002 |
Published version: | http://dx.doi.org/10.1016/j.automatica.2008.12.002 |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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