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Design Of Robust Pole Assignment Based On Pareto‐Optimal Solutions
Authors:Takanori Tagami  Kenji Ikeda
Abstract:In this paper, a new design method for robust pole assignment based on Pareto‐optimal solutions for an uncertain plant is proposed. The proposed design method is defined as a two‐objective optimization problem in which optimization of the settling time and damping ratio is translated into a pole assignment problem. The uncertainties of the plant are represented as a polytope of polynomials, and the design cost is reduced by using the edge theorem. The genetic algorithm is applied to optimize this problem because of its multiple search property. In order to demonstrate the effectiveness of the proposed design method, we applied the proposed design method to a magnetic levitation system.
Keywords:Robust pole assignment  polytope of polynomials  edge theorem  genetic algorithm  Pareto‐optimal solutions
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