Title :
Model reduction of nonstationary LPV systems
Author :
Farhood, Mazen ; Beck, Carolyn L. ; Dullerud, Geir E.
Author_Institution :
Dept. of Mech. & Ind. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
This paper focuses on the model reduction of nonstationary linear parameter-varying (LPV) systems. We provide an explicit method for the model reduction of such systems, along with an a priori error bound, which amounts to the generalization of balanced truncation to this nonstationary LPV setting. Our work is motivated by the desire to analyze and control nonlinear systems along prespecified trajectories. The journal version of this paper can be found at http://www.ews.uiuc.edu/-farhood/.
Keywords :
asymptotic stability; matrix algebra; multidimensional systems; reduced order systems; time-varying systems; asymptotic stability; balanced truncation; error bound; matrix sequence; model reduction; nonstationary linear systems; parameter-varying systems; time-varying systems; Asymptotic stability; Control system analysis; Control systems; Equations; Nonlinear control systems; Nonlinear systems; Reduced order systems;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184287