Title :
Frequency-domain approach to the absolute stability analysis of discrete-time linear-quadratic regulators
Author :
da Cruz, J.J. ; Geromel, J.C.
Author_Institution :
Escola Politecnica, de Sao Paulo Univ., Brazil
fDate :
3/1/1990 12:00:00 AM
Abstract :
A frequency-domain approach to the absolute stability analysis of multivariable time-invariant discrete-time linear quadratic regulators is developed in the paper. An imbedding form of a fundamental equality relating the return-difference and the open-loop transfer matrices is the key for the application of the Popov criterion in the analysis. This imbedding form also establishes a necessary condition for a closed-loop matrix transfer function to have been obtained through an LQ design.
Keywords :
discrete time systems; frequency-domain analysis; matrix algebra; multivariable control systems; optimal control; stability criteria; LQ design; Popov criterion; absolute stability analysis; closed-loop matrix transfer function; frequency-domain; fundamental equality; imbedding form; multivariable time-invariant discrete-time linear quadratic regulators; open-loop transfer matrices; optimal control; return-difference; stability criteria;
Journal_Title :
Control Theory and Applications, IEE Proceedings D
