Title :
The geometrical approach to the l1-optimization problem
Author :
Barabanov, Andrey E. ; Sokolov, Andrey A.
Author_Institution :
St. Petersburg Univ., Russia
Abstract :
A geometrical approach to solving the multivariable l1-optimization problem and the corresponding optimal stabilization problem for a MIMO linear stationary plant under l∞-bounded disturbances is outlined. The first advantage of the approach proposed is determined by the usual computational gain of the dynamic programming method: it reduces the number of different solutions to be compared. Secondly, it gives a visual interpretation of the structure of the optimal cost function of truncated problems and it gives bounds for the performance index
Keywords :
MIMO systems; dynamic programming; geometry; linear systems; stability; MIMO linear stationary plant; dynamic programming; geometrical approach; l∞-bounded disturbances; multivariable l1-optimization problem; optimal cost function; optimal stabilization problem; performance index; truncated problems; visual interpretation; Control systems; Convolution; Delay systems; Equations; Interpolation; Matrix converters; Performance analysis; Polynomials; Production;
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.1994.411625
