Disturbance Attenuation and Rejection for Discrete-Time Markovian Jump Systems

2016 ◽  
pp. 123-137
Author(s):  
Xiuming Yao ◽  
Ligang Wu ◽  
Wei Xing Zheng
Keyword(s):  
Discrete Time ◽  
Disturbance Attenuation ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Jump Systems

scholarly journals H∞Control of Singular Markovian Jump Systems with Bounded Transition Probabilities

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Hongsheng Lin ◽  
Ying Li ◽  
Guoliang Wang
Keyword(s):  
Discrete Time ◽  
Continuous Time ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Markovian Jump Systems ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Singular Markovian Jump Systems ◽  
Jump Systems

This paper discussesH∞control problems of continuous-time and discrete-time singular Markovian jump systems (SMJSs) with bounded transition probabilities. Improved sufficient conditions for continuous-time SMJSs to be regular, impulse free, and stochastically stable withγ-disturbance attenuation are established via less conservative inequality to estimate the transition jump rates, so are the discrete-time SMJSs. With the obtained conditions, the design of a state feedback controller which ensures the resulting closed-loop system to be stochastically admissible and withH∞performance is given in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are presented to show the effectiveness and the benefits of the proposed approaches.

Fault detection of discrete-time delay Markovian jump systems with delay term modes partially available

2019 ◽  
Vol 356 (5) ◽  
pp. 3045-3071 ◽  
Author(s):  
Guoliang Wang ◽  
Zhiqiang Li ◽  
Xin Miao ◽  
Qingling Zhang ◽  
Chunyu Yang
Keyword(s):  
Time Delay ◽  
Fault Detection ◽  
Discrete Time ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Delay Term ◽  
Discrete Time Delay ◽  
Jump Systems
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