Computation of multiple limit cycles in nonlinear control systems – a describing function approach
Journal Of Aerospace Technology And Management
Computation of multiple limit cycles in nonlinear control systems – a describing function approach
Autor Correspondente: Alexandro Garro Brito | [email protected]
Palavras-chave: limit cycle, multimodal optimization, describing functions
Resumos Cadastrados
Resumo Inglês:
Limit cycles play an important role in nonlinear systems, provided that many control loops with common nonlinearities like relay, hysteresis, and saturation can present them. Thus, a proper description of this nonlinear phenomenon is highly desirable. A strategy for the linearized analysis is the describing function method, which is a frequency domain approach that allows the limit cycle prediction and stability analysis. Some papers had discussed the method for the simplified analysis; however, they are concentrated in the prediction of only one limit cycle even for systems with multiple conditions. This paper proposes a systematic way of multiple limit cycle determination, as well as the stability analysis of each one. All theoretical/computational issues involved in the approach are also discussed.
