Title :
On the location of LQ-optimal closed-loop poles
Author :
Di Ruscio, David
Author_Institution :
Div. of Eng. Cybern., Norwegian Inst. of Technol., Trondheim
Abstract :
Inequalities which bound the closed-loop eigenvalues in an LQ (linear quadratic) optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and center at -α⩽0, where α=0 is the imaginary axis, and that the imaginary parts of these eigenvalues are bounded from up and below by two lines parallel to the real axis
Keywords :
closed loop systems; control system analysis; eigenvalues and eigenfunctions; optimal control; poles and zeros; closed loop poles location; closed-loop eigenvalues; inequalities; linear quadratic optimal control; Cybernetics; Eigenvalues and eigenfunctions; Linear matrix inequalities; Optimal control; Regulators; Riccati equations; Symmetric matrices; Weight control;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261580
