Title :
Asymmetric limit cycles and transfer properties of relay servo systems with integrating plants
Author_Institution :
Lavalin, SNC, Alberta, Canada
Abstract :
Asymmetric limit cycles in relay servo systems with integrating plants are studied in the paper. A periodic solution is found, and a condition of local asymptotic stability of the periodic solution is also derived. A matrix state space description based formula and a transfer function based formula of the locus of a perturbed relay system for integrating plants are derived. An example of the analysis of transfer properties of a relay system is given.
Keywords :
asymptotic stability; limit cycles; relay control; root loci; servomechanisms; state-space methods; transfer functions; asymmetric limit cycles; integrating plant; local asymptotic stability; matrix state space description based formula; periodic solution; perturbed relay system locus; relay servo systems; transfer function based formula; unequally spaced switching relay control; Control systems; Limit-cycles; Linear systems; Motion analysis; Relays; Servomechanisms; Signal analysis; Sliding mode control; Smoothing methods; Stability;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184980
