Finite-TimeH∞Control for a Class of Discrete-Time Markov Jump Systems with Actuator Saturation via Dynamic Antiwindup Design
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We deal with 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. A controller designed for unconstrained systems combined with a dynamic antiwindup compensator is given to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. The proposed conditions allow us to find dynamic anti-windup compensator which stabilize the closed-loop systems in the finite-time sense. All these conditions can be expressed in the form of linear matrix inequalities and therefore are numerically tractable, as shown in the example included in the paper.
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2010 ◽
Vol 132
(3)
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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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pp. 1730-1749
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2014 ◽
Vol 33
(10)
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pp. 3019-3035
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Keyword(s):
2016 ◽
Vol 26
(17)
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pp. 3831-3848
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2017 ◽
Vol 354
(5)
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pp. 2102-2124
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