Distributed Event-Based Set-Membership Filtering for a Class of Nonlinear Systems With Sensor Saturations Over Sensor Networks

Abstract

Abstract-In this paper, the distributed set-membership filtering problem is investigated for a class of discrete time-varying system with an event-based communication mechanism over sensor networks. The system under consideration is subject to sectorbounded nonlinearity, unknown but bounded noises and sensor saturations. Each intelligent sensing node transmits the data to its neighbors only when certain triggering condition is violated. By means of a set of recursive matrix inequalities, sufficient conditions are derived for the existence of the desired distributed event-based filter which is capable of confining the system state in certain ellipsoidal regions centered at the estimates. Within the established theoretical framework, two additional optimization problems are formulated: one is to seek the minimal ellipsoids (in the sense of matrix trace) for the best filtering performance, and the other is to maximize the triggering threshold so as to reduce the triggering frequency with satisfactory filtering performance. A numerically attractive chaos algorithm is employed to solve the optimization problems. Finally, an illustrative example is presented to demonstrate the effectiveness and applicability of the proposed algorithm.

MAS-Based Distributed Coordinated Control and Optimization in Microgrid and Microgrid Clusters: A Comprehensive Overview

“…Therefore, it is crucial to take into account influence of the switching topologies on the convergence of MAS [193]. Various control methods have been proposed to describe the switching topologies in MAS with different control objectives, including external random disturbance, parameter uncertainties, link failure or outage uncertainties [194,195].…”

Local design of distributed H∞‐consensus filtering over sensor networks under multiplicative noises and deception attacks

“…In this section, a simulation example is presented to illustrate the effectiveness of the proposed design scheme. Consider a sensor network with 10 nodes, whose topology is represented by a digraph  = (, , ) with the set of nodes  = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and the set of edges  = {(2, 1), (3, 2), (4, 3), (5, 4), (6, 5), (7,6), (8,7), (9,8), (10,9), (1, 10)}. Obviously, p i = q i = 1 for i = 1, 2, … , 10.…”

Event‐based dissipative analysis for discrete time‐delay singular stochastic systems

“…For example, the issues of event-triggered robust control, event-triggered sliding mode control, output feedback event-triggered control, event-triggered fault detection, event-triggered filter design, and distributed event-triggered consensus control were discussed for various of systems in other works. [12][13][14][15][16][17][18][19][20][21] Assumed that coefficient matrix of control law is full column rank, Xu et al 22 dealt with the event-triggered control design of discrete-time singular systems, and a common event-triggered H ∞ filter was designed for discrete-time singular hybrid systems by applying the delay partitioning method in the work of Xu et al 23 However, how to achieve co-designed parameters and design corresponding filters for different subsystems is a challenging and interesting issue.…”