TY - GEN
T1 - Dissipativity based H∞ control for nonlinear stochastic systems with time-varying delays
AU - Li, Huiping
AU - Shi, Yang
PY - 2011
Y1 - 2011
N2 - This paper is concerned with the H∞ state feedback control problem for a class of nonlinear stochastic systems with time-varying state delays. Firstly, the stochastic dissipativity of the time-delay nonlinear system is established, based on which the H∞ state feedback controller is synthesized. We show that the closed-loop system rendered by the designed controller can achieve the L2-gain performance and exponential stability in the sense of mean square. Finally, these sufficient conditions are further specialized as solving a linear matrix inequality (LMI) and a bilinear matrix inequality (BMI) for a class of special stochastic nonlinear delayed systems.
AB - This paper is concerned with the H∞ state feedback control problem for a class of nonlinear stochastic systems with time-varying state delays. Firstly, the stochastic dissipativity of the time-delay nonlinear system is established, based on which the H∞ state feedback controller is synthesized. We show that the closed-loop system rendered by the designed controller can achieve the L2-gain performance and exponential stability in the sense of mean square. Finally, these sufficient conditions are further specialized as solving a linear matrix inequality (LMI) and a bilinear matrix inequality (BMI) for a class of special stochastic nonlinear delayed systems.
UR - https://www.scopus.com/pages/publications/84860685270
U2 - 10.1109/CDC.2011.6161318
DO - 10.1109/CDC.2011.6161318
M3 - 会议稿件
AN - SCOPUS:84860685270
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 3240
EP - 3245
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - Joint 50th IEEE Conference on Decision and Control and 2011 European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -