Robust stability and H/sub ∞/ control of discrete-time jump linear systems with time-delay: an LMI approach

2002 ◽  
Author(s):  
E.K. Boukas ◽  
Z.K. Liu
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
Robust Stability ◽  
Discrete Time ◽  
Lmi Approach ◽  
Jump Linear Systems

Robust Stability and H∞ Control of Discrete-Time Jump Linear Systems With Time-Delay: An LMI Approach*

2003 ◽  
Vol 125 (2) ◽  
pp. 271-277 ◽  
Author(s):  
E. K. Boukas and ◽  
Z. K. Liu
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
Robust Stability ◽  
Discrete Time ◽  
Linear Matrix ◽  
Uncertain Parameters ◽  
Markov Jump ◽  
Jump Linear Systems ◽  
Markov Jump System ◽  
System With Time Delay

This paper considers the class of discrete-time jump linear systems with time-delay and polytopic uncertain parameters. The problems of delay-independent robust stability, stabilization and H∞ control are cast into the framework of linear matrix inequality (LMI) and thus solved by LMI Toolbox of Matlab. By extending the system state, the system with time-delay is converted into a higher dimension Markov jump system without time-delay, and thus can be handled as a standard jump linear system with uncertain parameters. Numerical examples are provided to show the usefulness of the theoretical results.

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