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This paper investigates the network-based H ∞ control problem for Takagi-Sugeno fuzzy Markov jump systems with communication delays. Firstly, we propose a novel mode-dependent event-triggered communication scheme (ETCS) based on aperiodically sampled data, which largely reduce the data transmission. Secondly, to obtain a more applicable result, an asynchronous controller based on a hidden Markov model is designed for the first time to stabilize the fuzzy Markov jump systems with general transition rates. Thirdly, a less restrictive Lyapunov-Krasovskii functional, which is discontinuous and only required to be positive definite at endpoints of each subinterval of the holding intervals, is newly introduced for event-triggered asynchronous control issue. Based on the above methods, sufficient conditions with less conservatism are obtained to ensure the stochastic stability of the resulting closed-loop systems with a prescribed H ∞ performance. A co-design method of the desired controller and ETCS is then presented. Finally, truck-trailer model and mass-spring-damper model are provided to demonstrate the effectiveness and practicability of the developed results. [ABSTRACT FROM AUTHOR]

This article focuses on the bumpless transfer $H_{\infty }$ anti-disturbance control problem for switching Markovian LPV systems under a hybrid switching law. A parameter-dependent multiple piecewise disturbance observer-based bumpless transfer control strategy is put forward to reject multiple disturbances and reduce switching bumps. First, a hybrid switching law making full use of determinacy and randomness is proposed to improve the bumpless transfer anti-disturbance level by introducing a fixed dwell time in random switching. Second, a generalized bumpless transfer anti-disturbance specification is given to describe the switching quality at the switching points of switching Markovian LPV systems. Third, a solvability condition is established for the bumpless transfer $H_{\infty }$ anti-disturbance control problem, and a parameter-dependent multiple piecewise disturbance observer-based bumpless transfer controller is designed. Finally, an application example has been supplied to demonstrate the availability of the developed method. [ABSTRACT FROM AUTHOR]

This article is concerned with the anti-disturbance control for Markov jump systems with matched and mismatched disturbances. First, the matched part is estimated by an output-based disturbance observer. Meanwhile, the mismatched part is attenuated by the $H_{\infty }$ controller. Therefore, a composite static output control scheme is built to make the closed-loop system stable with the required $H_{\infty }$ performance. Second, an integral sliding-mode output (ISMO) control approach is proposed to restrain the mentioned disturbances by using the upper bounds of disturbances. Third, an ISMO anti-disturbance strategy is established to integrate the advantages of the above two methods. It is noteworthy to point out that the proposed output observer structure could be reduced to the state case. Moreover, the diagonal constraint on Lyapunov variables is removed in this article. Finally, a numerical example is simulated to validate the effectiveness of the proposed methods. [ABSTRACT FROM AUTHOR]

This paper investigates the event-triggered H ∞ control for networked control systems under the denial-of-service (DoS) attacks. First, a novel system model is established considering random, time-constraint DoS attacks. Second, an event-triggered scheme including an off-time is proposed to reduce the unnecessary occupation of network resources, with which a prescribed minimum inter-triggering time is guaranteed and Zeno problem is avoided. Third, sufficient conditions for the existence of an event-triggered controller which ensures the exponential stability of the closed-loop system with desired H ∞ performance are formulated in linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is examined by two illustrative examples, where a real communication network based on the ZigBee protocol is utilized. [ABSTRACT FROM AUTHOR]

This paper presents the event-triggered control for Takagi–Sugeno (T–S) fuzzy networked systems with transmission delay. An integral-based model is proposed for designing a new event-triggered scheme, which relies on the mean of the system state and the last triggered state. To handle the asynchronous premises of the fuzzy system and fuzzy controller, a novel triggering condition is added into the event-triggered mechanism. Then, the closed-loop T–S fuzzy event-triggered control system is established as a distributed delay system. With the help of the Legendre polynomials and their properties, the co-design conditions of triggering parameters and controller gains are given in linear matrix inequalities to ensure the asymptotic stability of the resulting closed-loop system. Finally, an experiment via a practical wireless network is implemented to illustrate the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]

Incorporating the disturbance frequency into system analysis and synthesis, this paper is dedicated to the quantized ${H_\infty }$ static output control of linear Markov jump systems. The output quantization is transformed into a sector bound form, and the finite frequency performance is handled by Parseval’s theorem. With the aid of Finsler’s lemma, sufficient conditions for the resulting closed-loop system are first established to satisfy the required finite frequency performance. To treat the static output feedback control problem in the framework of linear matrix inequalities, a new strategy is developed to decompose the coupling among Lyapunov variables, controller gain, and system matrices. In contrast to the existing results in the literature, no additional assumptions are imposed on the system matrices. Numerical examples are presented to demonstrate the validity of the established results. [ABSTRACT FROM AUTHOR]

This paper investigates the quantised finite-time attitude control for rigid spacecraft in the presence of external disturbance. First, a novel quantiser is designed with the combination and improvement of the traditional hysteresis logarithmic quantiser and hysteresis uniform quantiser, so that the innovative quantiser in this paper has the advantages of both hysteresis and uniform quantisers in ensuring chattering free and acceptable quantisation errors for better transient and steady-state performances. Second, a finite-time controller is synthesised even under disturbances and quantisation errors, and the closed-loop system/state converges to the region near zero in finite time. Finally, the attitude stabilisation and attitude tracking simulation results for the rigid spacecraft are presented to illustrate the effectiveness and feasibility of the proposed control strategy. [ABSTRACT FROM AUTHOR]