Title :
Approximation of linear parameter-varying systems
Author :
Wood, G.D. ; Goddard, P.J. ; Glover, K.
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
Abstract :
Two well known LTI approximation methods-balanced truncation and optimal Hankel norm approximation-are extended to the LPV framework. Quadratic stability of the approximants and generalisations of known LTI error bounds are examined. The concept of the graph operator of an LPV system is discussed. We show how, by approximating the graph operator, the state-dimension of models that are not quadratically stable may be reduced
Keywords :
Hankel matrices; approximation theory; control system synthesis; graph theory; reduced order systems; stability; LPV system; LTI approximation methods; LTI error bounds; balanced truncation; graph operator; linear parameter-varying systems; optimal Hankel norm approximation; quadratic stability; state-dimension reduction; Approximation error; Approximation methods; Control system synthesis; Control systems; Control theory; Equations; Lighting control; Linear approximation; Optimal control; Stability;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574345
