This paper is concerned with the finite-time mixed H_∞ and passivity performance analysis and filter design for a class of uncertain nonlinear discrete-time Markovian jump systems (MJSs) described by Takagi–Sugeno fuzzy model with nonhomogeneous jump processes. In this paper, the proposed MJSs fuzzy model is formulated with norm-bounded parameter uncertainties and time-varying jump transition probability matrices. In particular, the time-varying transition probability matrices are expressed in respect of a polytope. By constructing a suitable Lyapunov functional, a new set of sufficient conditions is derived in the form of linear matrix inequalities (LMIs) to ensure that the filtering error system is robustly stochastically finite-time bounded and a prescribed mixed H_∞ and passive performance index is achieved. Moreover, the robust mixed H_∞ and passivity filter design gain matrices can be computed from the obtained LMIs. Furthermore, the developed results unify H_∞ and passive filtering problems in a single framework. Finally, two numerical examples including an application-oriented example are provided to demonstrate the effectiveness of the proposed filter design technique.

This work studies the event-based fault-tolerant control issue of networked control systems with actuator saturation, resilient event-triggering, randomly occurring nonlinearities, and denial-of-service jamming attacks (DoS-JAs). Initially, we aim to design a resilient event-triggered (ET) communication scheme under the attacks, proposed by the known period of the jamming signal. The period values occur in uniform lower bounds for the jammer's sleeping time. Next, a closed-loop networked control system is constructed as a switched-control strategy subject to state-delay, in addition to actuator saturation, actuator faults, DoS jamming attack, parameter uncertainty and resilient ET control schemes. Based on the Lyapunov stability theory, piecewise property and Wirtinger-based integral inequality, a set of sufficient conditions are obtained to ensure that the resulting closed-loop switched system is exponentially stable against DoS jamming attacks and satisfies mixed $H_{\mathrm{\infty }}$ and passivity performance index. Furthermore, the efficacy of the proposed method is demonstrated through simulated examples based on the two practical applications of satellite control systems and aircraft flight control systems.