Reduced-order H∞ Controllers based on Improved Genetic Algorithm
| Authors: | Jing Yuanwei, Northeastern University, China
Pan Wei, Northeastern University, China
Dimirovski Georgi M., Dogus University, Turkey |
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| Topic: | 9.3 Developing Countries |
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| Session: | Combined Knowledge and Technology Transfer II |
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| Keywords: | Improved Genetic Algorithm, Linear Matrix Inequality (LMI), Reduced-order H∞ controllers, All-order H∞ controllers, float code |
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Abstract
An approach of reduced-order H∞ controller for a class of linear continuous dynamic systems is presented based on Genetic Algorithm. Necessary and sufficient conditions are given, in terms of linear matrix inequality, for the existence of controller. A rank condition is changed to object function of genetic algorithm(GA). The minimum order of the controller and a corresponding parameter pair (X,Y) of positive definite matrix are obtained by means of searching the object function. Andthen the reduced-order H∞ controllers are constructed. In this paper, the code is float, the selection operator is rank-based fitness assignment and elitist model, the crossover operator is improved real cross, the mutation operator is real mutation. The simulation results show that the controller has the same control effect as all-order H∞ controllers based on MATLAB.
