Title :
Super-optimal Hankel-norm approximations
Author :
Yeh, Fang-Bo ; Wei, Lin-Fang
Author_Institution :
Dept. of Math., Tunghai Univ., Taichung, Taiwan
Abstract :
The computation of superoptimal Hankel-norm approximations is considered. The existence and uniqueness of the superoptimal solution are proved using simple state-space calculations. The approach is unlike the work of N.J. Young (1987), which is based on conceptual operator-theoretic constructions. In addition, the authors give a detailed analysis of pole-zero cancellations in the algorithm and a bound on the McMillan degree of the superoptimal solution, which generalize the results of D.J.N. Limebeer et al. (1989)
Keywords :
matrix algebra; multivariable systems; optimal control; poles and zeros; state-space methods; McMillan degree; bound; conceptual operator-theoretic constructions; pole-zero cancellations; solution existence; solution uniqueness; state-space calculations; superoptimal Hankel-norm approximations; Algorithm design and analysis; Controllability; Frequency dependence; Large-scale systems; MIMO; Mathematics; Observability; Physics computing;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371293
