Stochastic Stabilization of Markovian Jump Systems with State and Input Delays

2006 ◽  
Author(s):  
Kang Yu
Keyword(s):  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Stochastic Stabilization ◽  
State And Input Delays ◽  
Input Delays ◽  
Jump Systems

scholarly journals H∞Fuzzy Control for Nonlinear Singular Markovian Jump Systems with Time Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
Li Li ◽  
Qingling Zhang ◽  
Yi Zhang ◽  
Baoyan Zhu
Keyword(s):  
Time Delay ◽  
Fuzzy Control ◽  
State Feedback ◽  
The State ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Stochastic Stabilization ◽  
Singular Markovian Jump Systems ◽  
Jump Systems

This paper investigates the problem ofH∞fuzzy control for a class of nonlinear singular Markovian jump systems with time delay. This class of systems under consideration is described by Takagi-Sugeno (T-S) fuzzy models. Firstly, sufficient condition of the stochastic stabilization by the method of the augmented matrix is obtained by the state feedback. And a designed algorithm for the state feedback controller is provided to guarantee that the closed-loop system not only is regular, impulse-free, and stochastically stable but also satisfies a prescribedH∞performance for all delays not larger than a given upper bound in terms of linear matrix inequalities. ThenH∞fuzzy control for this kind of systems is also discussed by the static output feedback. Finally, numerical examples are given to illustrate the validity of the developed methodology.

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