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The manuscript discusses the dissipative control of nonlinear singularly perturbed systems (SPSs) with dynamic quantization and actuator faults. The nonlinear singularly perturbed plant is described by a class of fuzzy SPSs with using Takagi–Sugeno (T–S) fuzzy model. Considering the impact of quantization and actuator failures may occur in the networked communication channel, the asymptotic stability and dissipativity for quantized closed-loop system are analyzed, and some sufficient conditions are given to synchronously design the -independent state feedback controller and the dynamic parameter. Furthermore, the maximum stability bound ¯ is found by giving a new short search algorithm. Finally, a tunnel diode circuit system is simulated in order to prove the feasibility and effectiveness of the proposed method.

The main difficulties in controlling Three-phase active power filter (APF) arise from their hybrid nature, and the saturation of nonlinear constraints. A novel approach to the modeling and regulation problem of APF is presented from the combined perspective of switched system and stability of systems with saturation constraints. Firstly, the three-phase APF is built as switched affine system model. Based on the sufficient condition for quadratic stability of convex combination, the common Lyapunov function was selected. Meanwhile, the switched rules are put forward by this function. The paper also discusses the problem of feedback control for the switched systems with saturated nonlinear constraint; and gives a stability condition for switched system under state saturation. Finally, simulation results have good agreement with the theory analysis, and demonstrate the validity of this approach.