Dissipative Analysis and Control for Nonlinear Stochastic Singular Systems

Abstract

This paper concentrates on investigating the dissipative analysis and control problem for a class of nonlinear stochastic singular systems via a Takagi-Sugeno fuzzy control approach. Based on a suitable singular stochastic Lyapunov functional, the sufficient conditions are firstly derived for the considered system to be stochastically admissible and strictly dissipative. Furthermore, the fuzzy state feedback controller is designed, which ensures that the closed-loop system is stochastically admissible and strictly dissipative. In addition, the developed results for nonlinear stochastic singular systems encompass available results on H∞ approach as a special case. Finally, two numerical examples are presented to show the validity of our proposed control design technique.

Keywords

• Nonlinear stochastic singular systems
• stochastic admissibility
• dissipative control
• linear matrix inequalities (LMIs)