Nonstationary output feedback controller design for discrete-time Markov jump systems with application to a pneumatic throttle actuator

2017 ◽  
Author(s):  
Yanzheng Zhu ◽  
Zhixiong Zhong ◽  
Donghua Zhou
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Output Feedback Controller ◽  
Jump Systems

Observer-Based H∞ Control on Nonhomogeneous Discrete-Time Markov Jump Systems

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Yanyan Yin ◽  
Peng Shi ◽  
Fei Liu ◽  
Kok Lay Teo
Keyword(s):  
Discrete Time ◽  
Controller Design ◽  
Transition Probability ◽  
Transition Probability Matrix ◽  
Closed Loop System ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Stochastically Stable ◽  
Jump Transition ◽  
Jump Systems

This paper concerns the problem of observer-based H∞ controller design for a class of discrete-time Markov jump systems with nonhomogeneous jump parameters. A nonhomogeneous jump transition probability matrix is described by a polytope set, in which values of vertices are given. By Lyapunov function approach, under the designed observer-based controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H∞ performance is achieved. Finally, a simulation example is given to show the effectiveness of the developed techniques.

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