Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207720902989304
Title: Limit cycles induced in type-1 linear systems with PID-type of relay feedback
Authors: Chen, S.-L.
Tan, K.K. 
Huang, S. 
Keywords: Describing function
Friction modelling
Limit cycles
Perturbation theory
Relay feedback
Switching systems
Issue Date: Dec-2009
Source: Chen, S.-L.,Tan, K.K.,Huang, S. (2009-12). Limit cycles induced in type-1 linear systems with PID-type of relay feedback. International Journal of Systems Science 40 (12) : 1229-1239. ScholarBank@NUS Repository. https://doi.org/10.1080/00207720902989304
Abstract: This article investigates the limit cycles within type-1 linear systems under PID-type of relay feedback. The problem is generalised from the identification of friction models of servo mechanical systems via limit-cycle experiments under dual-channel relay feedback. Locations of limit cycles are given so that the exact durations between two consecutive switchings of relays can be determined via numerical computation. After this, local stability of limit cycles can be checked via the Jacobian of Poincare map. Examples are analysed using proposed theorems.
Source Title: International Journal of Systems Science
URI: http://scholarbank.nus.edu.sg/handle/10635/56494
ISSN: 00207721
DOI: 10.1080/00207720902989304
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