Genetic approach to pole placement in linear state space systems
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. © 2012 IEEE.
Proceedings of the Annual Southeastern Symposium on System Theory
Digital Object Identifier (DOI)
Cassell, & Chiu Choi. (2012). Genetic approach to pole placement in linear state space systems. Proceedings of the 2012 44th Southeastern Symposium on System Theory (SSST), 24–29. https://doi.org/10.1109/SSST.2012.6195133