Title :
Applications of discrete evolution operators in time-varying systems
Author_Institution :
Inst. of Control Eng., Tech. Univ. of Szczecin, Szczecin, Poland
Abstract :
The paper considers the problem of definition of matrix operators for dynamical discrete-time, time-varying systems and their application for output deviations estimates for uncertain systems and output estimates using singular value decomposition. Uncertainty in the system description is modelled by unknown bounded perturbations of the system operator and the output operator. The method for computing an estimate for the output difference between the perturbed and nominal system has been presented. Also the estimates of min-max norm for time-varying systems using SVD has been developed. Two examples are presented: output difference estimate for communication satellite and Bode characteristic estimate for time-varying system.
Keywords :
discrete time systems; estimation theory; matrix algebra; minimax techniques; perturbation techniques; singular value decomposition; time-varying systems; uncertain systems; Bode characteristic estimation; communication satellite; discrete evolution operators; dynamical discrete-time time-varying systems; matrix operators; minmax norm estimation; nominal system; output deviation estimation; output difference estimation; perturbed system; singular value decomposition; uncertain systems; unknown bounded perturbations; Decision support systems; Electronic mail; Europe; Resonant frequency; Disturbed Systems; Estimation; Sampled Data Systems; Time-Varying and Periodic Systems;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
