LMIs-based stability analysis and fuzzy-logic controller design for networked systems with sector nonlinearities: Application in tunnel diode circuit

In this article, the problem of exponential mean-square stability analysis is discussed for uncertain networked control systems expressed by a stochastic T-S fuzzy model.In general, the characteristics of random occurrence for multipath packet dropouts often exist in the signal transmission network.For dealing with this difficult point, a dynamic output feedback strategy combining stochastic Bernoulli theory is employed.Then, delay-dependent stability conditions are derived and closed-loop system is exponentially mean-square stable by designing fuzzy-basis-dependent Lyapunov functional.Furthermore, in terms of linear matrix inequalities (LMIs) technology, sufficient conditions are gained to guarantee the prescribed H-infinity performance.Different from previous literatures, the congruence transformation method is employed to determine controller gain matrices for reducing the computation complexity of solving LMIs.Finally, the proposed method is applied in tunnel diode circuit model to verify the applicability.