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Modelling and control of flexible joint robot based on Takagi–Sugeno fuzzy approach and its stability analysis via sum of squares

M. Hosseinpour, P. Nikdel, M.A. Badamchizadeh and M.A. Akbari

Mathematical and Computer Modelling of Dynamical Systems, 2013, vol. 19, issue 3, 250-262

Abstract: This article proposes a Takagi–Sugeno (T-S) fuzzy model of single-link rotary flexible joint robot. The proposed control method is based on parallel distributed control. The parameters of T-S controller are improved by distributed population genetic algorithm (GA) with chaos GA. Using Hermite–Biehler theorem in distributed population, GA is made to have a fast convergence. Dividing search space into several sub-spaces causes a better response, and chaos disturbance helps the whole algorithm to reach a best answer. The stability of the controller is analysed via the sum of squares programming, and finally, it is implemented on the plant.

Date: 2013
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DOI: 10.1080/13873954.2012.731653

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