Title :
H∞ identification of multivariable systems by tangential interpolation methods
Author :
Chen, Jie ; Farrell, Jay ; Nett, Carl N. ; Zhou, Kemin
Author_Institution :
Coll. of Eng., California Univ., Riverside, CA, USA
Abstract :
The purpose of this paper is to present an extension to some of the current work on worst-case identification problems to multivariable systems. We consider an H∞ identification problem for a class of linear shift invariant multi-input multi-output systems. Our main results are an interpolatory algorithm and a number of bounds on identification error. This algorithm operates on available input and output data in the time domain, and is constructed by solving an extended matrix tangential Caratheodory-Fejer problem. Similar to its counterpart for scalar systems, this interpolatory algorithm possesses certain desirable optimality properties and can be obtained via standard convex programming methods
Keywords :
H∞ optimisation; MIMO systems; convex programming; identification; interpolation; nonlinear programming; H∞ identification; convex programming; extended matrix tangential Caratheodory-Fejer problem; interpolatory algorithm; linear shift invariant MIMO systems; multivariable systems; optimality properties; tangential interpolation; time-domain data; worst-case identification problems; Computer errors; Ear; Educational institutions; Interpolation; MIMO; Noise level; Robust control; Stability; Transfer functions; Upper bound;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411601