Title
Limit Cycles Induced In Type-1 Linear Systems With Pid-Type Of Relay Feedback
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.
Year
DOI
Venue
2009
10.1080/00207720902989304
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
DocType
Volume
describing function, friction modelling, limit cycles, perturbation theory, relay feedback, switching systems
Journal
40
Issue
ISSN
Citations 
12
0020-7721
1
PageRank 
References 
Authors
0.36
10
3
Name
Order
Citations
PageRank
Si-Lu Chen18915.74
Kok Kiong Tan292399.57
Su-Nan Huang350561.65