Non-synchronized H-infinity Estimation of Discrete-time Piecewise Linear Systems

Authors:	Xie Lihua, Nanyang Technological University, Singapore Xu Jun, Nanyang Technological University, Singapore
Topic:	2.1 Control Design
Session:	Advances in Hinf Control Theory and Applications
Keywords:	H-infinity estimation; Discrete-time systems; Piecewise linearsystems.

Abstract

In this paper, we investigate the non-synchronized H-infinityestimation problem for a class of discrete-time piecewise linearsystems. In many applications, the system is partitioned based onits state variables. Due to the estimation error, the transitionsof actual state and its estimate may not be synchronized. In thispaper, a Luenberger type estimator is presented to guarantee thenon-synchronized H-infinity performance. Our approach employsS-procedure and partition-dependent slack variables toreduce design conservatism.