A new dynamic event-triggered control (ETC) scheme is proposed to address the practical fixed-time consensus (FTC) problem for multi-agent systems (MASs) with nonlinear dynamics. For the dynamic ETC scheme, the dynamic parameters are taken into account to reduce the number of triggering instants and save limited resources, and the triggering condition is based on a new dynamic variable that is obtained online rather than a constant. Moreover, the consensus of the nonlinear MASs can be obtained in a finite time for any initial conditions by the above-mentioned protocol. Finally, an example of Chua’s circuit is given to demonstrate the feasibility of the proposed control algorithms.

This article investigates the adaptive event-triggered finite-time dissipative filtering problems for the interval type-2 (IT2) Takagi–Sugeno (T–S) fuzzy Markov jump systems (MJSs) with asynchronous modes. By designing a generalized performance index, the $H_{\infty }$ , $L_{2}-L_{\infty }$ , and dissipative fuzzy filtering problems with network transmission delay are addressed. The adaptive event-triggered scheme (ETS) is proposed to guarantee that the IT2 T–S fuzzy MJSs are finite-time boundedness (FTB) and, thus, lower the energy consumption of communication while ensuring the performance of the system with extended dissipativity. Different from the conventional triggering mechanism, in this article, the parameters of the triggering function are based on an adaptive law, which is obtained online rather than as a predefined constant. Besides, the asynchronous phenomenon between the plant and the filter is considered, which is described by a hidden Markov model (HMM). Finally, two examples are presented to show the availability of the proposed algorithms.

This paper addresses the event-triggered asynchronous fault detection (FD) problem of fuzzy-model-based nonlinear Markov jump systems (MJSs) with partially unknown transition probabilities. For this objective, the nonlinear plant is modeled as an interval type-2 (IT2) fuzzy MJSs with the aid of the IT2 fuzzy sets capturing the uncertainties of the membership functions. An adaptive event-triggered scheme (ETS) is introduced to bring down the costs of the communication network from the system to the fuzzy fault detection filter (FDF), in which the triggering parameter can be adaptive tuned with the system dynamics. A hidden Markov model (HMM) is employed to characterize the asynchronous phenomenon between the system and FDF. Unlike the existing results, the transition probabilities of the plant and the FDF are allowed to be partially known. By using the Lyapunov and the membership-function-dependent (MFD) methods, the existence conditions of the FDF are derived. Finally, the proposed FD methods are verified by a numerical simulation.

In this article, the problem of adaptive event-triggered dissipative control is investigated for interval type-2 (IT2) fuzzy nonlinear Markov jump systems subject to asynchronous switching and cyberattacks. To reduce unnecessary transmission, an adaptive event-triggered mechanism (AETM) is introduced to fully employ the limited network resources and alleviate the pressure of network communication. The considered cyberattacks are described by a stochastic function with stochastic distribution. Then, a novel IT2 fuzzy closed-loop system is efficiently built under the AETM and the cyberattacks model, in which the asynchronous phenomenon of the plant and controller are described by the hidden Markov model. By utilizing the Lyapunov stability approach, sufficient conditions are established for the IT2 fuzzy closed-loop systems with strictly dissipative performance. Two examples are given to verify the effectiveness of the proposed algorithm.

This paper proposes a new design of an event-based dissipative asynchronous controller for the interval type2 (IT2) fuzzy Markov jump systems (MJSs) subject to sensor saturation and actuator nonlinearity. By resorting to a generalized performance index, the $H_{\infty}$ , passive, and dissipative fuzzy control problems are solved in a unified framework. The event-based scheme is developed for the IT2 fuzzy MJSs subject to sensor saturation and actuator nonlinearity, and the energy consumption of communication can be reduced. Moreover, the system and controller modes are asynchronous, and a hidden Markov model (HMM) is employed to observe the modes of the original system. The Membership-Function-Dependent (MFD) approach is applied to analyze the stability of the closed-loop system. Finally, two examples are given to demonstrate the effectiveness of the proposed algorithms.

This brief considers the event-based finite-time consensus problems for second-order multi-agent systems (MASs) with input delay. By backstepping design method, the controllers are developed to ensure true velocity track virtual velocity within a fixed time. Once the true velocity tracks on the virtual velocity, all agents can reach the agreement within a finite time. Moreover, an improved event-based control scheme is proposed by discontinuous communication. Besides, no Zeno behavior occurs. The efficiency of the proposed algorithms is illustrated by a detailed numerical example.