Title :
Robust H∞ Control of Markovian Jump Systems subject to Saturating Actuator and Incomplete Knowledge of Transition Probability
Author :
Wang, Yijing ; Wang, Chunhui ; Zuo, Zhiqiang
Author_Institution :
Tianjin Key Lab. of Process Meas. & Control, Tianjin Univ., Tianjin, China
Abstract :
This paper deals with the problem of robust H∞ control for a class of discrete-time Markovian jump systems subject to both actuator saturation and incomplete knowledge of transition probability. Different from the previous results where the complete knowledge of transition probability is available, a more general case is considered and the concept of domain of attraction in mean square sense is used to analyze the closed-loop stability. A sufficient condition is established to guarantee the stochastic stability of the closed-loop system. The mode-dependent H∞ state-feedback controller are designed using the LMI approach. Finally, a numerical example is provided to show the effectiveness of our method.
Keywords :
H∞ control; Markov processes; actuators; closed loop systems; control system synthesis; discrete time systems; linear matrix inequalities; probability; robust control; state feedback; LMI approach; actuator saturation; closed loop stability; closed-loop system; discrete-time Markovian jump systems; incomplete transition probability knowledge; mode-dependent H∞ state-feedback controller; robust H∞ control; Actuators; Markov processes; Performance analysis; Robustness; Stability analysis; Symmetric matrices; Actuator Saturation; Domain of Attraction in Mean Square Sense; Markov Jump Systems;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968830