Title :
H∞ filtering for singular systems
Author :
Xu, Shengyuan ; Lam, James ; Zou, Yun
Author_Institution :
Dept. of Mech. Eng., Univ. of Hong Kong, China
Abstract :
This note considers the H∞ filtering problem for linear continuous singular systems. The purpose is the design of a linear filter such that the resulting error system is regular, impulse-free and stable while the closed-loop transfer function from the disturbance to the filtering error output satisfies a prescribed H∞-norm bound constraint. Without decomposing the original system matrices, a necessary and sufficient condition for the solvability of this problem is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is given. Finally, an illustrative example is presented to demonstrate the applicability of the proposed approach.
Keywords :
H∞ control; closed loop systems; filtering theory; filters; linear matrix inequalities; linear systems; transfer functions; H∞ filtering; H∞-norm bound constraint; LMI; closed-loop transfer function; error system; filtering error; linear continuous singular system; linear filter; linear matrix inequalities; system matrices; Aerospace control; Aircraft; Automatic control; Backstepping; Control design; Feedback; Filtering; Matrix decomposition; Nonlinear filters; Signal generators;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.820149