Dissipativity-based Fuzzy Integral Sliding Mode Control Design for T-S Fuzzy Systems with Actuator Saturation

In this paper, a dissipativity-based fuzzy integral sliding mode control (FISMC) is proposed for a class of nonlinear systems with matched/unmatched uncertainties and external disturbance and with consideration actuator saturation. The control aim is to design a robust controller such that guarantees the stability of the state variables in the presence of uncertainties and applying the constraint on the control input amplitude, to overcome  the practical limitation. To do this, Takagi-Sugeno fuzzy model is used to represent the nonlinear behavior of a saturated actuator. Ability to appropriate select the maximum control input amplitude is another advantage of the proposed idea .By using Lyapunov theory, stability conditions are derived with a strictly dissipative performance and expressed as linear matrix inequality (LMI) conditions. Finally, simulation results illustrates the effectiveness and priority of the proposed approach.