Finite-Frequency Filter Design for Networked Control Systems with Missing Measurements

Dan Ye,Guang-Hong Yang,Yue Long

doi:10.1155/2013/825143

Abstract

This paper is concerned with the problem of robust filter design for networked control systems (NCSs) with random missing measurements. Different from existing robust filters, the proposed one is designed in finite-frequency domain. With consideration of possible missing data, the NCSs are first modeled to Markov jump systems (MJSs). A finite-frequency stochasticH∞performance is subsequently given that extends the standardH∞performance, and then a sufficient condition guaranteeing the system to be with such a performance is derived in terms of linear matrix inequality (LMI). With the aid of this condition, a procedure of filter synthesis is proposed to deal with noises in the low-, middle-, and high-frequency domains, respectively. Finally, an example about the lateral-directional dynamic model of the NASA High Alpha Research Vehicle (HARV) is carried out to illustrate the effectiveness of the proposed method.

Highlights

Due to the rapid development in communication network and computer technology, networked control systems (NCSs) have received much more research attentions
This paper studies the robust filter design problem with finite-frequency specifications for networked control systems (NCSs) subject to random missing measurements
Assume the MJLS (5) is mean-square stable; let γ > 0 be a given constant, system (5) has a finite-frequency stochastic H∞ norm γ if there exist mode-dependent matrices Pi = PiT, Qi = QiT > 0, i ∈ S such that the following inequalities hold:

Summary

Introduction

Due to the rapid development in communication network and computer technology, networked control systems (NCSs) have received much more research attentions. NCSs have been applied in many industrial systems such as automobiles, manufacturing plants, and aircrafts; see, for example, [1, 2] Motivated by this wide spectrum of applications, the new problems arising from the limit resources of the communication channel are gradually taken into account when designing the NCSs. For example, the issues of network-induced delay, packet dropout, and quantization are considered in [3,4,5,6,7,8,9,10,11,12], respectively. This paper studies the robust filter design problem with finite-frequency specifications for networked control systems (NCSs) subject to random missing measurements. The sum of a square matrix A and its transposition AT is denoted by He(A) := A + AT

Problem Formulation

Main Results

An Illustrative Example

Conclusions