A event-triggered communication scheme to sampled-data systems

This study is on H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> output feedback control design for a class of discrete Markov jump systems with event-triggered scheme and quantizations. First, an event-triggered communication scheme is proposed. Second, a novel Markov jump time-delay system model with external disturbances is established, bearing in mind the influence of network delay. Next, we set two quantizers, one in the sensor-controller channel, and the other in the controller-actuator channel. As a result, the sufficient conditions are obtained to guarantee the stability and H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> control performance of the closed-loop system, and to present the output feedback controller design. Finally, an example is given to demonstrate the effectiveness of the proposed method.

This article focuses on the event-triggered <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$H\infty$</tex-math></inline-formula> control problem of the networked descriptor system with time delays. First, a novel event-triggered communication strategy is proposed, which can adaptively adjust the triggering parameters in light of dynamic errors. The expected control performance can be ensured in parallel with saving limited communication resources. Second, an integrated system model is established by considering network-induced delays, event-triggered strategy, and systems' time-varying delays. A co-design control method based on the event-triggered strategy is proposed by implementing the Lyapunov method. Finally, the effectiveness and advantages of the proposed method are presented through two examples.

This paper is concerned with the $$H_{\infty }$$ filtering problem for discrete-time Markov jump systems with repeated scalar nonlinearities in an event-triggered communication scheme. An event-triggered scheme is proposed to determine whether the current data should be transmitted to the filter or not. Based on the time interval analysis approach, the discrete-time Markov jump system with network-induced delays under event-triggered communication scheme is converted into the discrete-time Markov jump time-delay system. By employing the positive-definite diagonally-dominant-type Lyapunov function technique, criteria are derived to guarantee the system is stochastically stable with a prescribed $$H_{\infty }$$ performance level. The correspondent filter and the event-triggered parameters are also solved. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

The event-triggered dissipative filtering problem for a class of networked semi-Markov jump systems is studied in this chapter. For saving the limited network bandwidth and preserving the fixed system performance, the event-triggered communication scheme is introduced. By means of stochastic analysis, the information on the sojourn-time between mode jumps of the underlying systems is fully taken into account. Through using the method of time delay, this paper analyses the filtering performance of the system, and combining with the synergy of event-triggered mechanism and dissipative filter design, completed the filtering error system strictly dissipative. Finally, taking the model of mass spring system as an example, the applicability of this filtering scheme is illustrated.

This paper investigates the cooperative platoon control problem of heterogeneous vehicles. Under a leader and predecessor following communication structure, each following vehicle tracks the state of the leader while maintaining a constant spacing between successive vehicles. To reduce the utilization of communication resources, a new event-triggered communication strategy (ETCS) is proposed, where the current data of the following vehicle is transmitted to its direct successor only when the difference between the current data and the last transmitted data exceeds a state-dependent threshold. By properly designing the threshold, the number of data transmissions near the steady state is greatly reduced. The tracking errors of all vehicles are shown to be bounded while Zeno behavior can be avoided under the ETCS. The advantages of the proposed ETCS are discussed by comparing with the existing strategies. Moreover, to deal with the heterogeneity of the vehicles' dynamics, a decentralized and computationally efficient method is presented to solve the non-identical control gains of all the vehicles. The numerical simulations have been conducted to illustrate the effectiveness of the proposed approach.

Network-based H∞ control for T–S fuzzy systems with an adaptive event-triggered communication scheme

This chapter investigates the problem of stabilization of nonlinear discrete-time networked control systems (NCS) with event-triggering communication scheme in the presence of signal transmission delay. A Takagi–Sugeno (T–S) fuzzy model and parallel-distributed compensation (PDC) scheme are first employed to design a nonlinear fuzzy event-triggered controller for the stabilization of nonlinear discrete-time NCS. The idea of the event-triggering communication scheme (a soft computation algorithm) under consideration is that the current sensor data is transmitted only when the current sensor data and the previously transmitted one satisfy a certain state-dependent trigger condition. By taking the signal transmission delay into consideration and using delay system approach, a T–S fuzzy delay system model is established to describe the nonlinear discrete-time NCSs with event-triggering communication scheme. Attention is focused on the design of fuzzy event-triggered controller which ensures asymptotic stability of the closed-loop fuzzy systems. Linear matrix inequality- (LMI-) based conditions are formulated for the existence of admissible fuzzy event-triggered controller. If these conditions are feasible, a desired fuzzy event-triggered controller can be readily constructed. A nonlinear mass-spring-damper mechanical system is presented to demonstrate the effectiveness of the proposed method.

A survey on recent advances in event-triggered communication and control

Event-triggered controller design of nonlinear discrete-time networked control systems in T-S fuzzy model

On state estimation for nonlinear dynamical networks with random sensor delays and coupling strength under event-based communication mechanism

The resilient consensus problem is investigated in this paper for a class of networked Euler-Lagrange systems with event-triggered communication in the presence of Byzantine attacks. One challenge that we face in addressing the considered problem is the inapplicability of existing resilient decision algorithms designed for one-dimensional multi-agent systems. This is because the networked Euler-Lagrange systems fall into the category of multi-dimensional multi-agent systems with coupling among state vector components. To address this problem, we propose a new resilient decision algorithm. This algorithm constructs auxiliary variables related to the coordinative objectives for each normal agent, and transforms the considered resilient consensus problem into the consensus problem of the designed auxiliary variables. Furthermore, to relax the constraints imposed on Byzantine agent behavior patterns within continuous-time scenarios, the event-triggered communication scheme is adopted. Finally, the effectiveness of the proposed algorithm is demonstrated through case studies.

This paper investigates the distributed leaderless consensus problem of networked Markov jump multi-agent systems with mode-dependent switching topologies. Specifically, a novel mode-dependent sampling and event-triggered communication strategy is proposed to reduce the network burden with less conservatism. Based on model transformation and constructing the mode-dependent Lyapunov-Krasovskii functional, sufficient consensus criteria are first established. Then, the desired event triggering function parameters and the controller gains are designed in terms of linear matrix inequalities (LMIs). In the end, an illustrative example is provided to verify the effectiveness of our proposed consensus method.

The problem of the event-triggered H ∞ piecewise controller design is studied for a class of networked Takagi-Sugeno(T-S) fuzzy systems. The nonlinear plant is represented by a T-S fuzzy model, and the event-triggered communication scheme is adopted in the feedback loop to improve the communication bandwidth utilization, in which the sampled state should be transmitted or not is determined by the error between the current sampled state and the latest transmitted one. A piecewise state feedback controller is designed via the piecewise Lyapunov functions and some matrix inequality convex technique such that the closed-loop T-S system is asymptotically stable and preserves a guaranteed H ∞ performance. A numerical example is provided to illustrate the effectiveness of the proposed method.

This paper investigates the problem of event-triggered dynamic output feedback control for networked Takagi-Sugeno (T-S) fuzzy systems with asynchronous premise variables. Our attention is focused on the design of an event-triggered fuzzy dynamic output feedback controller that guarantees that the closed-loop system is asymptotically stable. First, with consideration of the limited bandwidth and restricted network resource, an event-triggered communication scheme is proposed to save the limited network resource. Second, different from the existing results in the literature, a fuzzy dynamic output feedback controller with asynchronous premise variables is constructed such that the premise membership functions are not necessarily the same as the networked T-S fuzzy systems. Then, by using the Wirtinger inequality and some slack matrices, a less conservative stability and stabilization conditions for the existence of fuzzy dynamic output feedback controller are derived in the form of linear matrix inequalities, which can be solved by the standard MATLAB toolbox. Finally, an example is given to demonstrate the effectiveness of the designed event-triggered fuzzy dynamic output feedback controller.

The sliding-mode cruise control for multibody high-speed train (HST) is studied with an event-triggered communication scheme in the paper. Firstly, the error equation model of the HST with multibody is established with the consideration of time-varying running resistance. Then, the sliding-mode controller (SMC) is designed, and the event-triggered mechanism is constructed to reduce the transmission frequency. Next, by employing the Lyapunov stability theory, the convergence of the error equation of HST is analyzed and the proposed methods are verified by a Japan Shinkansen example.