Generalized \(H_2\) Sliding Mode Control for a Class of (TS) Fuzzy Descriptor Systems with Time-Varying Delay and Nonlinear Perturbations

摘要: This chapter considers the development of robust performance control based-on integral sliding-mode for descriptor system with nonlinearities and perturbations which consist on external disturbances model uncertainties great possibility time-varying manner. Sliding-mode (SMC) is one methodologies that deal both linear nonlinear systems. The most distinguishing feature its robustness as well in case invariant Loosely speaking, term “invariant” means completely insensitive to parametric uncertainty disturbances. Another type advanced sliding mode law “integral mode”. differs from by use an integration variable (surface) design addition term. In this work problem a class uncertain (TS) fuzzy systems delay studied. An integral-type function proposed delay-dependent criterion developed terms matrix inequality (LMI), ensures dynamics be robustly admissible generalized \(H_2\) disturbance rejection level. Moreover, SMC established satisfy reaching condition specified surface all delay. results are tested two representative examples illustrate theoretical developments.