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DYNAMICS OF A RELAY BASED FREQUENCY RESPONSE ESTIMATOR
G.H.M. de Arruda*, P.R. Barros* and A.S. Bazanella**
* Dept. de Eng. Elétrica, Universidade Federal da Paraíba,
Cx.P. 10105, Campina Grande, PB – BRAZIL.
** Dept. de Eng. Elétrica, Univ. Federal do Rio Grande do Sul,
Av. Osvaldo Aranha 103, 90035-190, Porto Alegre, RS, BRAZIL,
E-mail: arruda,prbarros@dee.ufpb.br, bazanela@delet.ufrgs.br
In this paper the existence and stability of limit cycles in a relay based estimation experiment are discussed. The relay test is used to estimate the frequency at which a given transfer function achieves a desired magnitude. The existence and stability of limit cycles in such experiment are derived via Poincare map analysis. Numerical examples point out the properties and limitations of the estimator.
Keywords: Relay feedback; Poincaré maps; stability analysis; limit cycle
Session slot T-We-M01: Identification of Linear Systems/Area code 3a : Modelling, Identification and Signal Processing
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