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This paper is concerned with the reliable extended passive control problem for semi-Markov jump Takagi-Sugeno (T–S) fuzzy systems based on an event-triggered mechanism (ETM). An asynchronous approach is utilized to cope with the fuzzy-basis-dependent membership functions in networked fuzzy systems. For fear of the waste of communication resources, an ETM to screen the transmitted data is adopted for T–S fuzzy semi-Markov jump systems under consideration. Owing to the use of Lyapunov stability theory and some novel integral inequalities based on auxiliary functions, some sufficient conditions are obtained to guarantee that the resulting closed-loop system not only meets a prescribed mixed $\mathcal {H} _{\infty }$ and passive performance but also is stochastically stable. Then, by using a skillful matrix decoupling approach, the gains of the fuzzy controller may be expressed specifically. Lastly, the superiority and availability of the developed design method are extensively described and validated via its application to a truck control model. [ABSTRACT FROM AUTHOR]

This paper gives attention to the issue of nonfragile state estimation for a class of Markov jump systems with repeated scalar nonlinearities and redundant channels. A mixed $$\mathcal {H}_{\infty }$$ and $$ l_{2}-l_{\infty }$$ performance index is introduced to optimize the state estimation performance. Assisted by the introduced random variables, this paper constructs a new type of communication models to give a description of multi-channel packet dropout. With the aid of the Lyapunov-Krasovskii function, a sufficient condition is derived, which assures the error dynamic is stochastically stable conforming with the prespecified mixed $$\mathcal {H} _{\infty }$$ and $$l_{2}-l_{\infty }$$ performance. Eventually, a numerical example is proposed to exactly reflect the applicability of this creative method. [ABSTRACT FROM AUTHOR]

In this paper, the problem of reliable event-triggered H ∞ control is addressed for networked control systems by using retarded dynamic output feedback. The randomness of actuators failures is modeled by a stochastic variable in a Markov jump model framework. To guarantee the considered closed-loop system is stochastically stable with a prescribed H ∞ performance level, a Markov jump event-triggered retarded dynamic output feedback H ∞ controller is designed in this paper, which is the main purpose of our study. By using the stochastic analysis techniques and novel integral inequalities, some sufficient conditions for the solvability of the addressed problem are derived. Finally, an example using a satellite control system model is provided to explain the validity of the proposed method. [ABSTRACT FROM AUTHOR]

This paper focuses on the energy-to-peak filtering issue for a class of singular semi-Markov jump systems with unideal measurements. Some network-induced phenomena, such as sensor nonlinearity and packet dropouts caused by the unideal measurements are considered. The occurrence of sensor nonlinearity is described in a random way and obeyed a Bernoulli distribution. In the framework of the Lyapunov–Krasovskii stability theory, some sufficient conditions are given to ensure that the considered error system is stochastically mean-square stable and guarantees an energy-to-peak (or called L 2 − L ∞ ) performance level. On the basis of these conditions, an available design method to the desired filter is proposed drawing support from an improved matrix decoupling approach. For showing the effectiveness and superiority of the proposed method, we finally provide two illustrated examples. [ABSTRACT FROM AUTHOR]