Optimally robust H∞ polynomial fuzzy controller design using quantum-inspired evolutionary algorithm

Gwo-Ruey Yu, Yu-Chia Huang and Chih-Yung Cheng

International Journal of Systems Science, 2018, vol. 49, issue 12, 2601-2617

Abstract: This paper proposes an optimally robust H∞ polynomial fuzzy controller design using quantum-inspired evolutionary algorithm (QEA) for continuous/discrete time polynomial fuzzy systems with model uncertainties and external disturbances. To improve control performance, QEA is adopted to evolve optimal control gains with a fitness function that is defined by performance requirements. The stability and robustness of the control system are then guaranteed by the proposed robust H∞ stability conditions, which are formed by the sum of squares (SOS) method. By using the principle of copositivity, novel relaxed SOS-based stability conditions are derived to reduce the conservativeness of solving SOS-based stability conditions, while the feasible solution space is broadened. Four numerical examples demonstrate the effectiveness of the proposed approaches.

Date: 2018
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DOI: 10.1080/00207721.2018.1506522

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