Exponential stability of fuzzy systems with actuator saturation based on hybrid control

Abstract

In this paper, we investigate the exponential stabilization problem of the fuzzy system with time‐varying delay based on actuator saturation and deception attacks. A Takagi‐Sugeno (T‐S) fuzzy model is used to express nonlinear systems. By combining Lyapunov Krasovskii‐type functionals with the idea of parallel distributed compensation (PDC), the stability of the fuzzy system is analyzed. Two cases are considered: First, impulse and state feedback are control signals; second, as disturbance signals, the impulse signals destroy the stability of the system, and only the state feedback signals play a role. The stability of the system is analyzed by using the Lyapunov method. Several stabilization criteria are obtained in the form of linear matrix inequalities (LMIs). Finally, two illustrative examples are presented to show the validity of the obtained results.