H∞ control of time-delay state feedback Markovian jump linear systems with uncertain transition rates

This paper deals with the H∞ time-delay control problem for a class of uncertain Markovian jump linear systems (MJLSs). Since it's difficult to obtain the transition rates of real control systems, we consider the systems with uncertain transition rates. Combining H∞ control theory, we propose a...

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Bibliographic Details
Main Authors: Chao Li, Yan Wang, Bowen Liu, Zongyue Li
Format: Conference Proceeding
Language:English
Subjects:
H∞ control
LMI
Markovian jump linear systems (MJLSs)
Numerical stability
Robustness
Stability criteria
State feedback
time-delay state feedback
uncertain systems
Uncertainty
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Summary:This paper deals with the H∞ time-delay control problem for a class of uncertain Markovian jump linear systems (MJLSs). Since it's difficult to obtain the transition rates of real control systems, we consider the systems with uncertain transition rates. Combining H∞ control theory, we propose a sufficient robust stochastic stability criterion of the system. Then, the H∞ time-delay state-feedback controller that makes the underlying system stabilizable with γ-disturbance attenuation is designed. By constructing a Lyapunov functional, the time-delay independent LMI-formatted globally stability criterion is proposed based on robust control theory. Then, numerical example is provided to demonstrate the effectiveness of the derived results.
DOI:10.1109/PEAM.2011.6135004