Novel bounded real lemma for discrete-time descriptor systems: Application to H∞ control design

Automatica ◽  
2012 ◽  
Vol 48 (2) ◽  
pp. 449-453 ◽  
Author(s):  
Mohammed Chadli ◽  
Mohamed Darouach
Keyword(s):  
Discrete Time ◽  
Control Design ◽  
Descriptor Systems ◽  
Bounded Real Lemma

scholarly journals H2/H∞ Control for MJLS with Infinite Markov Chain

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Ting Hou ◽  
Jie Wang ◽  
Yueying Liu ◽  
Xiao Shen
Keyword(s):  
Markov Chain ◽  
Control Problem ◽  
Discrete Time ◽  
Control Design ◽  
Finite Horizon ◽  
Bounded Real Lemma ◽  
Infinite Set

With the help of a stochastic bounded real lemma, we deal with finite horizon H2/H∞ control problem for discrete-time MJLS, whose Markov chain takes values in an infinite set. Besides, a unified control design for H2, H∞, and H2/H∞ is given.

scholarly journals Bounded Real Lemma for Linear Discrete-Time Descriptor Systems

2008 ◽  
Vol 41 (2) ◽  
pp. 9982-9986 ◽  
Author(s):  
Chee-Fai Yung ◽  
Chih-Chieh Wang ◽  
Po-Feng Wu ◽  
He-Sheng Wang
Keyword(s):  
Discrete Time ◽  
Descriptor Systems ◽  
Bounded Real Lemma
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