Title :
Oscillations and Transfer Properties of Relay Servo Systems With Integrating Plants
Author_Institution :
Honeywell & the Electr. & Comput. Eng. Dept., Univ. of Calgary, Calgary, AB
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2007171
