Numerical recipes: the art of scientific computing
Numerical recipes: the art of scientific computing
MIC '07 Proceedings of the 26th IASTED International Conference on Modelling, Identification, and Control
Analysis of a simple quasipolynomial of degree one
ACMOS'11 Proceedings of the 13th WSEAS international conference on Automatic control, modelling & simulation
Root locus analysis of a retarded quasipolynomial
WSEAS Transactions on Systems and Control
Rational approximations for time-delay systems: case studies
MACMESE'11 Proceedings of the 13th WSEAS international conference on Mathematical and computational methods in science and engineering
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Models of dynamic systems containing both input and state delays were labeled as anisochronic. These models have some practical and attractive features, e.g. they enable to capture the dynamics of systems with very high order and mathematical models of many processes results in anisochronic form. In this paper an engineering utilizable idea of the identification principle for anisochronic models based on limit cycles is investigated. Unlike traditionally approaches connected with the frequency analysis of a transfer function, the proposed methodology is based on computation with functional differential equation only. Identified parameters are obtained analytically. Parameter estimation is also improved using ATV+ technique which required two relay tests. Some numerical aspects of the proposed method are discussed. The method is verified by an illustrative example in which parameters of a tenth order system are approximated by a first order anisochronic model. The developed approach can be easily utilized also for autotuning principles.