Remote Filter Design for Discrete Singular Systems

Abstract

In this paper, a remote filter design problem for a discrete-time singular plant under a networked control system is investigated. For a remote system, it is natural that transmitted signals have some delayed phenomenon and some data losing due to heavy loaded networks or under unreliable communication envelopment. In this case, a Bernoulli random distributed sequence is introduced to model the possible data losing, as well as the working but delayed transmitted signals are limited in some time interval. Applying a finite sum inequality approach, a set of delay dependent sufficient conditions for the admissibility analysis and the filter design problems are derived under an LMI framework. In order to verify and show the efficiency of the proposed method for such problem formulation, a numerical example is presented at the end of this paper.

Stabilization for singular nonlinear system with time delay and Markovian jumping parameters

“…A great deal of fundamental results based on the theory of regular systems have been extended to the area of singular systems [1][2][3][4][5][6][7][8][9]. The problem of H control for them is pretty important both in practice and in theory, and has thus drawn much attention of many researchers [10][11][12]15].…”

“…It is well known that Markovian jump systems can describe stochastic systems with abrupt structural variation resulting from the occurrence of some inner discrete events in systems such as failures and repairs of machine in manufacturing systems, modifications of the operating point of a linearized model of a nonlinear system. Therefore, the past ten years has seen the extensive investigate such a class of stochastic systems, and certain filtering and control issues related to Markovian jump systems [5][6][7]9,14]. However, few results appeared in * literatures are about singular nonlinear systems.…”