Title :
On the 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 :
In this paper, we continue our work on the model reduction of nonstationary linear parameter-varying (NLPV) systems. Specifically, we (a) derive finite error bounds for eventually periodic systems; and (b) provide a general result of the reduction of NLPV models. The first contribution is readily computed using semidefinite programming. The work is motivated by the desire to analyze and control nonlinear systems along prespecified trajectories.
Keywords :
control system analysis; nonlinear control systems; reduced order systems; time-varying systems; control nonlinear system; finite error bound; linear parameter-varying; model reduction; nonstationary LPV systems; periodic system; semidefinite programming; Control system analysis; Control system synthesis; Control systems; Hilbert space; Industrial engineering; Multidimensional systems; Nonlinear control systems; Nonlinear systems; Reduced order systems; Symmetric matrices;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1240439
