A method for testing driven dynamical systems with evolved excitations and its application to phase-locked loops

Authors:
C. C. Olson;J. M. Nichols;J. V. Michalowicz;F. Bucholtz
Affiliations:
National Research Council Postdoctoral Research Associate;U.S. Naval Research Laboratory, Optical Sciences Division, Washington, D.C.;Global Strategies Group, Inc., Crofton, MD;U.S. Naval Research Laboratory, Optical Sciences Division, Washington, D.C.
Venue:
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Year:
2009

Citing 2
Cited 0

Discrete-time signal processing (2nd ed.)

Discrete-time signal processing (2nd ed.)
Differential Evolution – A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces

Journal of Global Optimization

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Abstract

Differential evolution is used to search the parameter space of a system of ordinary differential equations (ODEs). For each tested parameter set, one time series resulting from integration of the ODE system is used to drive a dynamic system of interest. A fitness function is designed such that the response of the driven system is forced to have properties that are desirable to the practitioner. The dynamic versatility of a nonlinear ODE system coupled with an evolutionary algorithm search of its parameter space allows for significant improvement in excitation fitness. This input tailoring technique is generally applicable to a number of problems and is shown in this work to generate a chaotic modulation that reduces the power required to disrupt normal operation of a phase-locked loop.