Title :
A LPV approach to robust H2 and H∞ static output-feedback design
Author_Institution :
Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel
Abstract :
A linear parameter varying approach for designing a constant output feedback controller for a linear time-invariant system with uncertain parameters that achieves a minimum bound on either the H2 or the H∞ performance level is introduced. Assuming that the uncertain parameters reside in a given polytope a parameter dependent Lyapunov function is described which enables the derivation of the required constant gain via a solution of a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope.
Keywords :
H∞ control; Lyapunov methods; aircraft control; control system synthesis; feedback; linear matrix inequalities; linear systems; military aircraft; robust control; uncertain systems; LPV approach; linear matrix inequalities; linear parameter varying approach; linear time-invariant system; minimum bound; parameter dependent Lyapunov function; polytopic uncertainty; robust H∞ static output-feedback design; robust H2 static output-feedback design; uncertain parameters; Bandwidth; Control systems; Linear matrix inequalities; Lyapunov method; Open loop systems; Output feedback; Robustness; Sufficient conditions; Uncertainty; Vectors;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184413