Title :
Quadratically constrained linear-quadratic optimization of linear output feedback: a linear matrix inequalities approach
Author :
Cygankov, A. ; Megretski, A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA
Abstract :
In this paper, it is shown how a special nonconvex constrained optimization problem-the linear-quadratic optimal output feedback control problem with finite number of quadratic constraints-can be reduced to minimization of a linear functional on a set of all solutions of a system of linear matrix inequalities. The proposed approach simplifies the existing frequency-domain techniques for solving this problem, and can be effectively used in loopshaping procedures
Keywords :
feedback; frequency-domain synthesis; linear quadratic control; matrix algebra; frequency-domain techniques; linear functional minimization; linear matrix inequalities approach; linear output feedback; linear-quadratic optimal output feedback control problem; loopshaping procedures; nonconvex constrained optimization problem; quadratically constrained linear-quadratic optimization; Constraint optimization; H infinity control; Integral equations; Linear feedback control systems; Linear matrix inequalities; Optimal control; Output feedback; Sensor systems; Symmetric matrices; Transfer functions;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479151
