Title :
ℋ∞ control of discrete-time switched itô stochastic systems via dynamic output feedback
Author :
Wu, Ligang ; Ho, Daniel W C
Author_Institution :
Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China
Abstract :
This paper is concerned with the H∞ dynamic output feedback (DOF) control problem for discrete-time switched Itô stochastic hybrid systems. By applying the average dwell time method and the piecewise Lyapunov function technique, a sufficient condition is first proposed, which guarantees the closed-loop switched stochastic system to be mean-square exponentially stable with a weighted H∞ performance. Then the solvability condition for the H∞ DOF control is also established, by which the DOF controller can be found by solving a set of linear matrix inequalities (LMIs).
Keywords :
H∞ control; Lyapunov methods; asymptotic stability; closed loop systems; computability; discrete time systems; feedback; linear matrix inequalities; mean square error methods; piecewise constant techniques; stochastic systems; H∞ DOF control; H∞ dynamic output feedback control problem; LMI; average dwell time method; closed-loop switched stochastic system; discrete-time switched Itô stochastic hybrid systems; linear matrix inequalities; mean-square exponential stability; piecewise Lyapunov function technique; solvability condition; weighted H∞ performance; Closed loop systems; Power system stability; Stability analysis; Stochastic systems; Switched systems; Switches;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160295
