Event-Triggered Dissipative Filtering for Networked Semi-Markov Jump Systems

This paper presents a novel event-triggered communication scheme for sample-data systems. Firstly, a novel event-triggered communication scheme for sample-data systems is proposed, which can reduce the data communication. Secondly, a model of the considered system is built under consideration of the event-triggered communication scheme. Then, the H ∞ performance analysis and H i controller design conditions for the studied system are obtained. Finally, an example shows that the effectiveness of the developed method.

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.

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.

Dissipative filter design for uncertain Markovian jump systems with mixed delays and unknown transition rates

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

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.

Event-triggered fault detection filter design for nonlinear networked systems via fuzzy Lyapunov functions

This brief concerns the event-triggered fault detection problem for a class of networked nonlinear stochastic systems with randomly occurring dropouts and time-varying delays to guarantee the safety and reliability of systems. In order to save limited communication bandwidth, a novel adaptive memory-based event-triggered scheme (ETS) is developed, based on which a memory-based fault detection filter (FDF) is constructed to generate residual signal. Then, an event-triggered fault detection framework is established, which is mainly composed of stochastic system, ETS, FDF, fault weighting, and residual evaluation. With considering the ETS, random dropouts, and time-varying transmission delays, the criterion of mean-square asymptotic stability and <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> performance is given such that the residual signal is sensitive to faults while robust against disturbance. Then, the co-design method of memory-based ETS and FDF is proposed. Finally, a simulation case is provided to demonstrate the effectiveness and advantages of the proposed method.

Event-based asynchronous dissipative filtering for T–S fuzzy singular Markovian jump systems with redundant channels

This paper proposes an event-triggered transmission strategy for cruise control of multiple high-speed trains (MHSTs). The MHSTs are modeled as a multi-agent system with a certain fixed topology. An event-triggered scheme is designed to determine when the states of a train are broadcast to neighboring trains and a local controller updates its control input. With this strategy fused into the dynamic model of the multi-agent system, an event-triggered control protocol is presented. The consensus of the multi-agent system is analyzed by studying the asymptotically stability of a system with time-varying delay caused by the event-trigger scheme. By utilizing Lyapunov-Krasovskii theory, a sufficient condition is achieved to guarantee the system asymptotically stability. Then, a co-design algorithm for obtaining both the controller's gain and the event-trigger processor's weighting matrix is proposed. Finally, the effectiveness of the method is illustrated by simulation results.

This paper is concerned with the problem of event-triggered control for a networked discrete-time singular system. A novel event-triggered networked control scheme is proposed to save the limited network communication bandwidth. By using a delay system approach, a unified model of event-triggered control system is established. A new criterion is proposed in terms of strict linear matrix inequality (LMI) by using Lyapunov functional method, which guarantees the admissibility of the discrete-time networked singular system without resorting to decomposing the system matrices. A state feedback controller is then designed based on this criterion. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

Reliable event-based dissipative filter design for discrete-time system with dynamic quantization and sensor fault

ABSTRACTThis work focuses on the fault detection for nonlinear networked systems. A fault detection filter is designed to detect the fault signal under the effect of disturbance. The communication channel of the networked system is supposed to be influenced by the limited bandwidth and random data losses. To deal with these, event-triggered scheme and Bernoulli process are employed to describe the problems, respectively. According to the above situation, we employ a formulated random series to describe the input of fuzzy filter. Differential mean value theorem based method is presented to handle the asynchronous membership functions. Synthetically, linear matrix inequality approach is employed to obtain the stability conditions and the filter design process. At last, we verify the performance of this method acting in the simulation example.