This paper presents a disturbance-observer based sliding mode control (SMC) for fuzzy singularly perturbed systems (SPSs) with uncertainties and disturbances. Firstly, we designed a linear sliding surface. The sliding surface parameter matrix is determined by solving linear matrix inequalities (LMIs). The stability of the sliding mode is proved by a Lyapunov function. Secondly, a disturbance observer is designed to estimate the disturbance, and the obtained disturbance estimate is incorporated in the design of SMC. The reachability condition under the fuzzy SMC law is shown to be satisfied. Finally, simulation results show the feasibility and effectiveness of the proposed control method.
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