This article concerns a fuzzy sampled-data controller for nonlinear semi-Markovian jump systems (SMJS) via the fuzzy dependent stochastic looped-Lyapunov functional (FSLF) approach. To do this, with the help of the Takagi–Sugeno (T–S) method, the stochastic jump parameters, actuator faults, and logarithmic quantizer are all considered in a unified framework. The stochastic parameters are generated by the semi-Markov process, whose transition rates depend upon the sojourn time. The nonlinear SMJS depicts real-time models subject to unpredictable structural changes, such as single-link robotic arm (S-LRA) systems. A key issue under consideration is how to design a fuzzy sampled-data controller to ensure stochastic stability for the nonlinear SMJS in the presence of actuator faults and state quantization. For this purpose, by using the weak infinitesimal operator of constructed FSLF, sufficient conditions are determined to realize the stochastic stability of the proposed nonlinear systems. Then, the stochastic stability conditions for the proposed sampled-data controller scheme can be derived under a linear matrix inequality framework. The validity of the theoretical findings is verified by Rossler’s chaotic systems. The S-LRA model is demonstrated to illustrate the applicability and efficacy of the proposed controller scheme.

This article is focused on designing the admissible edge-dependent average dwell time (AE-DADT)-based fuzzy sampled-data control problem for a class of switched nonlinear systems. The upper and lower grades of membership functions are used to characterize uncertain parameter-dependent nonlinear systems in the interval type-2 fuzzy (IT2F) model. Different from the existing literature, a new fuzzy dependent refined looped Lyapunov functional (LF) is introduced, which involves the new exponent terms and state information such as$\frac{e^{2\gamma _{v}(\varrho -\varrho _{\mathscr{k}})}-1}{2\gamma _{v}}, \ \frac{e^{2\gamma _{v}(\varrho _{\mathscr{k}+1}-\varrho)}-1} {2\gamma _{v}}, \ \mathscr{z}(\varrho _{\mathscr{k}})$, and$\mathscr{z}(\varrho _{\mathscr{k}+1})$with tuning parameters and few slack variables. The AE-DADT switching property has also been taken into account for nonlinear systems, and it contributes to getting more information about previous modes. Based on the proposed new refined looped LFs, new sufficient conditions are derived in terms of linear matrix inequalities, which ensure the global uniform exponential stability of the nominated switched IT2F systems. The feasibility of the obtained results is verified by the numerical example, and the tunnel diode circuit system model and the Lorenz chaotic system are established to illustrate the feasibility and efficacy of the theoretical findings.