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GECCO
2004
Springer

Limit Cycle Prediction in Multivariable Nonlinear Systems Using Genetic Algorithms

10 years 8 months ago
Limit Cycle Prediction in Multivariable Nonlinear Systems Using Genetic Algorithms
Abstract. This paper presents an intelligent method based on multiuobjective genetic algorithm (MOGA) for prediction of limit cycle in multivariable nonlinear systems. First we address how such the systems may be investigated using the Single Sinusoidal Input Describing Function (SIDF) philosophy. The extension of the SIDF to multi loop nonlinear systems is presented. For the class of separable nonlinear element of any general form, the harmonic balance equations are derived. A numerical search based on multiobjective genetic algorithm is addressed for the direct solution of the harmonic balance system matrix equation. The MOGA is employed to solve the multiobjective formulation and obtain the quantitative values for amplitude, frequency and phase difference of possible limit cycle operation. The search space of MOGA is the space of the possible limit cycle parameters, such as amplitudes, frequency and phase difference between the interacting loops. Finally computer simulation is per...
Farzan Rashidi, Mehran Rashidi
Added 01 Jul 2010
Updated 01 Jul 2010
Type Conference
Year 2004
Where GECCO
Authors Farzan Rashidi, Mehran Rashidi
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