Robust stabilization for networked systems with transmission delay via integral Lyapunov functional and congruence transformation method

Abstract

Uncertainties and information transmission delay exist in many real-world applications. The control design of such systems is challenging even for existing advanced control theory. Besides, if there is actuator saturation in the system and networked control strategy is considered, the problem will become even more complicated. In order to solve the problem, the stochastic Takagi-Sugeno (T-S) fuzzy delay-dependent static output feedback control is proposed in this paper, and strictly dissipative analysis is addressed for the stochastic T-S fuzzy singular information networked control systems. In the propose control scheme, the T-S fuzzy model and stochastic Bernoulli theory are employed in the controller design. The stability conditions of the closed-loop control system are summarized in the linear matrix inequalities (LMIs), then the closed-loop system is regular impulse free, stochastically admissible and strictly dissipative. Both fuzzy-basis-dependent and delay-dependent stability analysis, with the consideration of strictly dissipative performance index, are conducted to develop stability conditions in terms of LMIs based on Lyapunov stability theory. Via the LMIs optimization constraints, the nonconvex problem caused by fuzzy-basis-dependent can be solved. Finally, the simulation examples are provided to verify the effectiveness of the proposed control strategy.