ROBUST STRICTLY POSITIVE REAL SYNTHESIS BASED ON GENETIC ALGORITHM

Abstract In this paper, a new numerical method based on Genetic Algorithm (GA) for robust Strictly Positive Real (SPR) synthesis is presented. The algorithm works well in coefficient space of continuous-time systems and is computationally efficient for some types of polynomial families, such as polynomial segments, interval polynomials and polytopic polynomials et al. The method can be easily extended to the discrete-time systems. Illustrative examples are provided showing that the method is rather effective for arbitrary given high-order systems.

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