Title :
On the order of optimal controllers in the mixed H-2/H-infinity control
Author :
Megretski, Alexandre
Author_Institution :
Dept. of Electr. Eng. & Comput. Eng., Iowa State Univ., Ames, IA, USA
Abstract :
It is shown that the so-called “pure” mixed H2 /H∞ optimization problem does not have a “good” solution. More precisely, a class of nonsingular “pure” mixed H2/H∞ optimization problems (minimization of an L2-norm subject to a Youla parameterization and an L∞ constraint) is considered. It is shown that, whenever the L∞ constraint is not redundant, the optimal controller has infinite order, and does not allow exponentially stable state space realization
Keywords :
H∞ control; L∞ constraint; L2-norm minimization; Youla parameterization; exponentially stable state-space realization; mixed H2/H∞ control; optimal controller order; pure mixed H2/H∞ optimization problem; Closed loop systems; Constraint optimization; Control systems; Cost function; Feedback control; H infinity control; Hydrogen; Optimal control; Robust control; State-space methods;
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.1994.411627
