scholarly journals Mixed H 2 / H ∞ State Feedback Control for Markov Jump Linear Systems with Hidden Observations

2017 ◽  
Vol 50 (1) ◽  
pp. 3800-3805
Author(s):  
André Marcorin de Oliveira ◽  
Oswaldo Luiz do Valle Costa
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
State Feedback ◽  
State Feedback Control ◽  
Markov Jump ◽  
Jump Linear Systems ◽  
Markov Jump Linear Systems

H∞ State-Feedback Control for Semi-Markov Jump Linear Systems With Time-Varying Delays

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Ji Huang ◽  
Yang Shi
Keyword(s):  
Linear Systems ◽  
State Feedback ◽  
Controller Design ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Time Varying ◽  
Markov Jump ◽  
Jump Linear Systems ◽  
Markov Jump Linear Systems

Semi-Markov jump linear systems (S-MJLSs) are more general than Markov jump linear systems in modeling practical systems. This paper investigates the H∞ control problem for a class of semi-Markov jump linear systems with time-varying delays. The sojourn-time partition technique is firstly proposed for the delayed stochastic switching system. A sufficient condition for designing the state feedback controller is then established. Moreover, the sufficient condition is expressed as a set of linear matrix inequalities which can be readily solved. A numerical example illustrates the effectiveness of the proposed controller design technique.

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