Title :
Robust H2 performance of uncertain linear systems with bounded parameter variations
Author_Institution :
Dept. of Mech. & Aerosp. Eng., North Carolina State Univ., Raleigh, NC, USA
Abstract :
In this paper, the robust H2 performance analysis problem was addressed for uncertain linear systems with structured time-varying uncertainties, which have bounded variation rates specified by an integral quadratic constraint (IQC). The analysis condition for robust H2 performance was first formulated as a matrix inequality with multipliers. Consequently, a computational scheme with mixed features of basis function parameterization and gridding has been proposed to convert the analysis condition into linear matrix inequalities (LMI), which can be solved efficiently
Keywords :
H∞ control; linear systems; matrix algebra; robust control; time-varying systems; uncertain systems; IQC; LMI; basis function parameterization; bounded parameter variations; integral quadratic constraint; linear matrix inequalities; matrix inequality; multipliers; robust H2 performance analysis; structured time-varying uncertainties; uncertain linear systems; Grid computing; Integral equations; Linear matrix inequalities; Linear systems; Matrix converters; Noise measurement; Noise robustness; Performance analysis; Uncertainty; White noise;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.878723
