Observer-based $$H_{\infty }$$ H ∞ control for nonlinear Markovian jump systems with time-delay and input saturation

2016 ◽  
Vol 37 (1) ◽  
pp. 255-275 ◽  
Author(s):  
Yuechao Ma ◽  
Xiaorui Jia ◽  
Yifang Yan ◽  
Deyou Liu
Keyword(s):  
Time Delay ◽  
Input Saturation ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Jump Systems ◽  
Nonlinear Markovian Jump Systems

scholarly journals Robust Finite-TimeH∞Control for Nonlinear Markovian Jump Systems with Time Delay under Partially Known Transition Probabilities

2014 ◽  
Vol 2014 ◽  
pp. 1-16
Author(s):  
Dong Yang ◽  
Guangdeng Zong
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
State Feedback ◽  
Transition Probabilities ◽  
Feedback Stabilization ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Finite Time Boundedness ◽  
Jump Systems ◽  
Nonlinear Markovian Jump Systems

This paper is concerned with the problem of robust finite-timeH∞control for a class of nonlinear Markovian jump systems with time delay under partially known transition probabilities. Firstly, for the nominal nonlinear Markovian jump systems, sufficient conditions are proposed to ensure finite-time boundedness,H∞finite-time boundedness, and finite-timeH∞state feedback stabilization, respectively. Then, a robust finite-timeH∞state feedback controller is designed, which, for all admissible uncertainties, guarantees theH∞finite-time boundedness of the corresponding closed-loop system. All the conditions are presented in terms of strict linear matrix inequalities. Finally a numerical example is provided to demonstrate the effectiveness of all the results.

Stochastic Admissibility for a Class of Nonlinear Singular Markovian Jump Systems with Time-Delay and Partially Unknown Transition Probabilities

2012 ◽  
Vol 235 ◽  
pp. 254-258 ◽  
Author(s):  
Shao Hua Long ◽  
Shou Ming Zhong
Keyword(s):  
Time Delay ◽  
Transition Probabilities ◽  
Functional Method ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Weighting Matrix ◽  
Singular Markovian Jump Systems ◽  
Jump Systems ◽  
Stochastic Admissibility

The problem of the stochastic admissibility for a class of nonlinear singular Markovian jump systems with time-delay and partially unknown transition probabilities is discussed in this note. The considered singular matrices Er(t) in the discussed system are mode-dependent. By using the free-weighting matrix method and the Lyapunov functional method, a sufficient condition which guarantees the considered system to be stochastically admissible is presented in the form of linear matrix inequalities(LMIs). Finally, a numerical example is given to show the effectiveness of the presented method.

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