Observer Based Finite-Time Stabilization for Discrete-Time Markov Jump Systems with Gaussian Transition Probabilities

2014 ◽  
Vol 33 (10) ◽  
pp. 3019-3035 ◽  
Author(s):  
Fei Chen ◽  
Xiaoli Luan ◽  
Fei Liu
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Transition Probabilities ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Finite Time Stabilization ◽  
Jump Systems

Discrete-time H∞ output feedback for Markov jump systems with uncertain transition probabilities

2012 ◽  
Vol 23 (8) ◽  
pp. 894-902 ◽  
Author(s):  
André R. Fioravanti ◽  
Alim P.C. Gonçalves ◽  
José C. Geromel
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Transition Probabilities ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems

scholarly journals Finite-TimeH∞Control for a Class of Discrete-Time Markov Jump Systems with Actuator Saturation via Dynamic Antiwindup Design

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Junjie Zhao ◽  
Jing Wang ◽  
Bo Li
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Actuator Saturation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Time Control ◽  
Saturating Actuators ◽  
Finite State ◽  
Jump Systems

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.

Observer-based finite-time H∞ control for uncertain discrete-time nonhomogeneous Markov jump systems

2019 ◽  
Vol 356 (4) ◽  
pp. 1730-1749 ◽  
Author(s):  
Xiaobin Gao ◽  
Hongru Ren ◽  
Feiqi Deng ◽  
Qi Zhou
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems
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