Title :
The opposite of analytic centering for solving minimum rank problems in control and identification
Author :
David, Johan ; De Moor, Bart
Author_Institution :
Dept. of Electr. Eng., Katholieke Univ., Leuven, Heverlee, Belgium
Abstract :
Recently it has been shown that certain control problems can be formulated as minimum rank problems with linear matrix inequalities. Also in identification there are problems that can be formulated in a similar way. In this paper a heuristic algorithm for solving these problems is presented. It is illustrated with some numerical examples
Keywords :
control system synthesis; convex programming; feedback; identification; matrix algebra; Frisch scheme; analytic centering; convex optimisation; diagonal matrix; heuristic algorithm; identification; linear matrix inequalities; low order controller; minimum rank problems; output feedback; Algorithm design and analysis; Constraint optimization; Design optimization; Eigenvalues and eigenfunctions; Heuristic algorithms; Newton method; Optimization methods; System identification;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325728
