Title :
A KYP Lemma for LMI Regions
Author :
Hencey, Brandon ; Alleyne, Andrew G.
Author_Institution :
Illinois Univ., Urbana
Abstract :
In this technical note, a Kalman-Yakubovich-Popov (KYP) lemma is discussed for linear matrix inequality (LMI) regions. Sufficient quadratic stability conditions are developed for an uncertain linear system subject to time varying uncertainty satisfying a quadratic inequality. Furthermore, the quadratic stability conditions are shown to guarantee the satisfaction of a frequency domain inequality.
Keywords :
frequency-domain analysis; linear matrix inequalities; linear systems; stability; time-varying systems; uncertain systems; KYP lemma; Kalman-Yakubovich-Popov lemma; LMI regions; frequency domain inequality; linear matrix inequality; quadratic stability conditions; time varying uncertainty; uncertain linear system; Fault detection; Frequency domain analysis; Linear matrix inequalities; Linear systems; Optimal control; Robust stability; State feedback; Sufficient conditions; Time varying systems; Uncertainty; Kalman-Yakubovich-Popov (KYP) lemma; linear matrix inequality (LMI); regional pole placement; uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.906222
