Input-output stability analysis of relay servo systems

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The presented approach deals with the problem of input-output stability of relay servo systems, which is related with the stability of the limit cycle and this is demonstrated in the paper. The presented case study is based upon the use of the locus of a perturbed relay system (LPRS) method that allows for small time delays and relay hysteresis causing chattering in a sliding mode control be taken account of exactly. It is shown that neglect of these small parameters may lead to a wrong conclusion about input-output stability of the system. The example of the system thought of as input-output stable being analyzed with small parameters neglected, but actually exhibiting complex motion called in the paper "stable limit cycle with unstable center" is given and studied. A state space description based form of LPRS is proposed in the paper. Conditions of input-output stability are presented. An algorithm of input-output analysis is substantiated.

Original languageBritish English
Pages (from-to)3737-3742
Number of pages6
JournalProceedings of the American Control Conference
StatePublished - 2001
Event2001 American Control Conference - Arlington, VA, United States
Duration: 25 Jun 200127 Jun 2001


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