Observer‐based H ∞ control on nonhomogeneous Markov jump systems with nonlinear input |
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Authors: | Yanyan Yin Peng Shi Fei Liu Kok Lay Teo |
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Affiliation: | 1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Institute of Automation, Jiangnan University, , Wuxi, 214122 China;2. Department of Mathematics and Statistics, Curtin University, , Perth, WA, 6102 Australia;3. School of Engineering and Science, Victoria University, , Melbourne, Vic. 8001, Australia;4. School of Electrical and Electronic Engineering, The University of Adelaide, , Adelaide, SA, 5005 Australia |
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Abstract: | This paper considers the problem of observer‐based H ∞ controller design for a class of discrete‐time nonhomogeneous Markov jump systems with nonlinear input. Actuator saturation is considered to be a nonlinear input of such system and the time‐varying transition probability matrix in the system is described as a polytope set. Furthermore, a mode‐dependent and parameter‐dependent Lyapunov function is investigated, and a sufficient condition is derived to design observer‐based controllers such that the resulting error dynamical system is stochastically stable and a prescribed H ∞ performance is achieved. Finally, estimation of attraction domain of such nonhomogeneous Markov jump systems is also made. A simulation example shows the effectiveness of developed techniques. Copyright © 2013 John Wiley & Sons, Ltd. |
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Keywords: | observer‐based H ∞ control nonhomogeneous Markov jump parameters nonlinear input |
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