This technical note investigates the problem of checking robust D-stability of a polytope of polynomial matrices. Finsler's projection lemma is taken to derive a new sufficient condition in terms of a linear matrix inequality (LMI) feasibility problem. The basic idea behind this condition is to lift the existing stability condition into the one of larger space by means of Finsler's lemma and, based on it, to introduce additional decision variables. Examples are given to show that the proposed condition can yield less conservative results than the previous one.
Bibliographical noteFunding Information:
Manuscript received January 07, 2010; revised July 07, 2010, November 07, 2010, and November 12, 2010; accepted December 05, 2010. Date of publication December 23, 2010; date of current version April 06, 2011. This work was supported by the National Research Foundation (NRF) of Korea funded by the Korea goverment (MEST) under Grant R01-2008-000-20844-0. Recommended by Associate Editor F. Dabbene.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering