Event-triggered Filter Design Research Articles

Event-triggered filter of positive semi-Markovian jump systems with Weibull distribution

This paper focuses on the event-triggered filter design of positive semi-Markovian jump systems with Weibull distribution. The considered systems are subject to random uncertainty and sensor fault. A linear programming-based filter design approach is proposed. First, an event-triggering condition is established by virtue of sensor output signals. Under the event-triggering condition, the filtering error system is transformed into an interval system. The positivity of the filtering error system is reached by considering the positivity of the lower bound of the interval system. By using a stochastic co-positive Lyapunov function, the filtering error system is stochastically stable with an ℓ1-gain performance by exploring the corresponding performance of the upper bound of the interval system. Then, additive and multiplicative models following the Bernoulli distribution are introduced to describe the random uncertainties of the systems. Consequently, the event-triggered filter is designed in terms of linear programming and a matrix decomposition approach. Moreover, the proposed filter design is developed for the systems subject to sensor faults. Finally, two examples are provided to illustrate the effectiveness of the proposed design.

Event-Triggered Filter Design Based on Average Measurement Output for Networked Unmanned Surface Vehicles

This brief addresses 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> filtering problem for networked unmanned surface vehicles (USVs) subject to transmission delays. First, a novel event-triggered scheme based on the average measurement output (AMO) is proposed for scheduling the network transmissions of sensor measurements from a USV. Unlike traditional event-triggering conditions that adopt only the current measurement information, an average of consecutive sensor measurements over given time period <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$T$ </tex-math></inline-formula> is used to verify the triggering condition. This allows the triggering scheme to employ historical measurements and make more reasonable decisions regarding network transmissions. As a consequence, the proposed triggering scheme has the potential to avoid unexpected events arising from stochastic disturbance and noise or malicious attacks. To solve the filtering problem, AMO-based 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> filtering is then developed. Sufficient design criteria are also derived, from which the filter gain parameters can be readily determined. The efficacy of the proposed filter design method is illustrated via simulations using practical USV parameters.

H∞ Filtering of Repeated Scalar Nonlinear Systems: Event-Triggered Communication Case

In this paper, the event-triggered filter design problem is investigated for a class of discrete-time repeated scalar nonlinear systems. An admissible filter is introduced and sufficient conditions to ensure the asymptotical stability of the controlled system with a given performance are established. The solution of the corresponding event-triggered filter problem is settled by the projection lemma, and the cone complementary linearization technique is introduced to derive the filter parameters. An example is provided to demonstrate the effectiveness and potential of the proposed new design method.

Event-triggered H ∞ filtering for singularly perturbed systems with external disturbance

The problem of event-triggered filter design for singularly perturbed systems (SPSs) with external disturbance is investigated in this paper. A scheme consisting of an event-triggered mechanism (ETM) and an filter is considered. Firstly, -dependent sufficient conditions are derived via constructing an ϵ-dependent Lyapunov–Krasovskii functional, where the conditions ensure that the SPSs are asymptotically stable avoiding Zeno phenomenon. Then, the ETM and the filter are designed simultaneously on the basis of the aforementioned criteria. Finally, an RC circuit system is presented to demonstrate the effectiveness and superiority of the obtained method.

Event-triggered filtering for discrete-time Markovian jump systems with additive time-varying delays

This paper focus on the event-triggered filter design problem for delayed discrete-time Markovian jump systems. Firstly, a new mode-dependent Lyapunov-Krasovskii functional is introduced, where more than one Lyapunov matrices are dependent on jumping modes. Secondly, sufficient conditions are established by employing the Lyapunov stability theory together with Wirtinger-based inequality, under which the filtering error system is stochastically stable with strict dissipative. Thirdly, the co-design scheme of the filter parameters and event-triggered matrices is proposed. Finally, two numerical examples are given to show the usefulness of the proposed scheme.

Event-Triggered Filter Design of Positive Systems With State Saturation

This article deals with event-triggered filter design of positive systems subject to state saturation. An event-triggering condition in the form of 1-norm is established based on the error and the measurable output. Under the presented event-triggering condition, the filter systems are transformed into interval uncertain systems. The positivity of the filter and error dynamics is achieved by considering the lower bound of the interval systems. Using a linear copositive Lyapunov function, the stability is guaranteed by considering the upper bound of the interval systems. By virtue of linear programming, an <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">l</i> <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> -gain filter is designed for the systems subject to exogenous disturbance. Then, multiplicative and additive gain fluctuations are introduced. Two classes of nonfragile filters are proposed, and a cone is constructed to guarantee that the states of the systems with state saturation can keep inside it. Finally, two examples are given to illustrate the effectiveness of the proposed approach.

Event-triggered filter design for nonlinear cyber–physical systems subject to deception attacks

This paper is concerned with an event-triggered filter design for fuzzy-model-based cyber–physical systems with cyber-attacks. Spurious events may be triggered under the conventional event-triggered mechanism (ETM) when the sampling data has a rapid change arising from unpredicted external disturbance. To avoid spurious decisions on data releasing a new ETM is proposed. Furthermore, the communication network is vulnerable to attacks by malicious attackers. Under this scenario, a new resilient filter is designed to ensure the security. Sufficient conditions are established to make the filtering error system asymptotically stable. A numerical example is provided to show the effectiveness of the proposed results.

Novel event-triggered filter design for nonlinear networked control systems

This paper investigates the problem of event-triggered filter design for nonlinear networked control systems (NCSs) in the framework of interval type-2 (IT2) fuzzy systems. A novel IT2 fuzzy filter for ensuring asymptotic stability and H∞ performance of filtering error system is proposed, where the premise variables are different from those of the fuzzy model. Attention is focused on solving the problem of event-triggered filter design subject to parameter uncertainties, data quantization, and communication delay in a unified frame. It is shown that the proposed event-triggered filter design communication mechanism for IT2 fuzzy NCSs has the advantage of the existing event-triggered approaches to reduce the utilization of limited network resources and provides flexibility in balancing the tracking error and the utilization of network resources. Finally, simulation example is given to validate the advantages of the presented results.