Identification of Systems with Limit Cycles
نویسندگان
چکیده
Seth L. Lacy Air Force Research Lab, Space Vehicles Kirtland AFB NM 87117 [email protected] Dennis S. Bernstein Aerospace Engineering, University of Michigan Ann Arbor MI 48109 [email protected] Abstract Limit cycle oscillations occur in a wide range of electrical, mechanical, and aerospace applications. In this paper we present a method for constructing system models that are able to reproduce a periodic signal as a limiting trajectory. Our approach is based on continuous-time modeling of a scalar nth-order system whose dynamics are represented as a map of integrals and derivatives of the available signal. The method is demonstrated on the classical Van der Pol oscillator and a nonlinear oscillator with piecewise linear damping.
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تاریخ انتشار 2003