Robust Filter Design for Discrete-Time Systems over Communication Constrained

Abstract

The paper is concerned with the robust filter design problem in network environment subject to communication constrained, such as quantization distortion, randomly transmission delay and packets loss. By formulating the three communication constraints phenomena into a stochastic parameter uncertainty system, a linear filter is designed to satisfy that the error state of the filtering process is mean square bounded, and the steady-state variance of the estimation error for each state is not more than the individual prescribed upper bound. Based on existing positive definite solutions for a couple of algebraic Riccati-like inequalities or linear matrix inequalities, the theory of robust filter design is given and the process for solving filter parameters is proposed. Finally, an illustrative numerical example is presented to demonstrate the effectiveness and flexibility of the proposed design approach.