Finite-TimeH∞Control for Discrete-Time Markov Jump Systems with Actuator Saturation
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This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-timeH∞controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.
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2019 ◽
Vol 16
(3)
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pp. 172988141985161
2010 ◽
Vol 132
(3)
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2011 ◽
Vol 34
(7)
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pp. 841-849
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Observer-based finite-time H∞ control for uncertain discrete-time nonhomogeneous Markov jump systems
2019 ◽
Vol 356
(4)
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2014 ◽
Vol 33
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pp. 3019-3035
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