Oscillations and Transfer Properties of Relay Servo Systems With Integrating Plants

Author

Boiko, Igor

Author_Institution

Honeywell & the Electr. & Comput. Eng. Dept., Univ. of Calgary, Calgary, AB

Volume

53

Issue

11

fYear

2008

Firstpage

2686

Lastpage

2689

Abstract

Asymmetric limit cycles and input-output properties of relay feedback systems with integrating plants are studied in the technical note. It is noted that an integrating plant introduces significantly different dynamics, so that a different than traditional system representation is needed to obtain a fixed point of Poincare map. Conditions of orbital asymptotic stability are obtained. The infinite set of possible periodic solutions and transfer characteristics is presented in the form of the locus of a perturbed relay system (LPRS). A formula of LPRS is derived. An example of analysis of oscillations and transfer properties is given.

Keywords

Poincare mapping; asymptotic stability; feedback; limit cycles; oscillations; relay control; servomechanisms; transfer functions; Poincare map; asymmetric limit cycles; integrating plants; orbital asymptotic stability; oscillations; perturbed relay system; relay feedback systems; relay servo systems; transfer properties; Asymptotic stability; Control systems; Feedback; Limit-cycles; Linear systems; Motion analysis; Relays; Servomechanisms; Sliding mode control; Stability analysis; Chattering; orbital stability; oscillations; relay feedback system; transfer properties;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2008.2007171

Filename

4700848