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Genetic approach to pole placement in linear state space systems

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2 Author(s)
Arnold Cassell ; Electrical Engineering Program, School of Engineering, University of North Florida ; Chiu Choi

This paper describes a genetic approach for shaping the dynamic responses of linear state space systems through pole placement. The genetic approach generates a gain vector K. The vector K is used in state feedback for altering the poles of the system so as to meet step response requirements such as settling time and percent overshoot. To obtain the gain vector K by the proposed genetic approach, a pair of ideal, desired poles is calculate first and the corresponding gain vector K is computed based on the desired poles. That K vector is bred and mutated into a population. Each member of the population is tested for its fitness (the degree to which it matches the criteria). A new population is created each “generation” from the results of the previous iteration, until the criteria are met, or a certain number of generations have passed. Several case studies are provided in this paper to illustrate that this new approach is working.

Published in:

Proceedings of the 2012 44th Southeastern Symposium on System Theory (SSST)

Date of Conference:

11-13 March 2012