This article is cited in 3 papers

Adaptive and Robust Systems

Oscillation conditions of nonlinear systems with static feedback

D. V. Efimov, A. L. Fradkov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences

Abstract: Conditions are proposed of the availability of the oscillation property in the sense of Yakubovich in a system with a nonlinear nominal portion enclosed by static nonlinear output feedback. A technique is worked out to calculate analytical estimates for the amplitude of oscillations in the system. The relation between estimates for the amplitude of oscillations and the index of excitability of the system with respect to the input is established. Examples are given of the computer modeling for systems of the 2nd and the 3rd order,including Van der Pol and Lorentz systems conforming the applicability of the suggested solutions.

Presented by the member of Editorial Board: B. T. Polyak

Received: 02.06.2004

 English version: Automation and Remote Control, 2005, 66:2, 249–264

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