Title :
A behavioral approach to optimal model reduction
Author :
Roorda, Berend ; Weiland, Siep
Author_Institution :
Dept. of Econ., Tilburg Univ., Netherlands
Abstract :
The problem of optimal model approximation is investigated, where the angle between system behaviours is taken as approximation criterion. This problem is analyzed for linear time-invariant dynamical systems, in a behavioral setting. In particular, no assumptions are made on input-output decompositions or stability properties of systems. The class of all optimal approximate systems of state dimension one less than the state dimension of the system to-be-approximated, is characterized. Generalizations of this result are discussed and a simulation example is given
Keywords :
approximation theory; discrete time systems; linear systems; optimisation; reduced order systems; set theory; stability; discrete time systems; dynamical systems; linear time-invariant systems; model approximation; model reduction; set theory; stability; state dimension; Control system synthesis; Electronic mail; Hydrogen; Mathematical model; Paramagnetic resonance; Reduced order systems; Stability; System identification; Transfer functions;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786426
