Non-fragile stable control for linear systems

Abstract

The non-fragility is the characteristic that the system could keep its property as the uncertainty is included in the controller, and the non-fragile stability is the characteristic that the system could keep stability. If the systems could keep stability as the uncertainty is included in the system (including the controlled object and controller), then it's called the non-fragile robust stability. In this paper, the problem of non-fragile stability for a class of linear time-invariant systems is considered. And the sufficient conditions are presented for the closed-loop systems to be asymptotically stable by the method of linear matrix inequality (LMI) At last, numerical examples are given to obtain the specific controller by LMI toolbox in Matlab, and simulation diagram are presented to illustrate the asymptotic stability of the closed-loop system. © 2013 Springer Science+Business Media.