Title :
Robust performance analysis for parameter dependent systems using tensor product splines
Author :
Scherer, Carsten W.
Author_Institution :
Mech. Eng. Syst. & Control Group, Delft Univ. of Technol., Netherlands
Abstract :
We show that tensor product splines form a suitable tool for numerical construction of parameter dependent Lyapunov functions to test the robust performance for systems that depend on time-varying parameters. Based on the excellent approximation power of this class of multivariate splines, we show how it is possible to avoid conservatism in the corresponding robust performance analysis test
Keywords :
Lyapunov matrix equations; linear systems; robust control; splines (mathematics); tensors; time-varying systems; Lyapunov matrix; approximation; linear matrix inequality; linear systems; multivariate splines; parameter dependent systems; robust control; stability; tensor product splines; time-varying systems; Linear matrix inequalities; Lyapunov method; Mechanical splines; Performance analysis; Robust stability; Robustness; Space technology; System testing; Tensile stress; Time varying systems;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758672
