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Optimal control for stochastic linear quadratic singular neuro Takagi–Sugeno fuzzy system with singular cost using genetic programming
Affiliation:1. Faculty of Information Technology, Multimedia University, Cyberjaya, Malaysia;2. Faculty of Creative Industries, Universiti Tunku Abdul Rahman, Malaysia;3. Faculty of Information Science and Technology, Multimedia University, Melaka, Malaysia;1. School of Information and Communication Technology, Hanoi University of Science and Technology, Hanoi, Viet Nam;2. Faculty of Information Technology, Le Quy Don Technical University, Hanoi, Viet Nam;3. Department of Computer Science and Intelligent Systems, Osaka Prefecture University, Sakai, Japan;1. Department of Computer Science, Rani Anna Government College for Women, Tirunelveli, Tamil Nadu, India;2. Research Scholar, Manonmaniam Sundaranar University, Tirunelveli, Tamil Nadu, India;1. Department of Automation, Zhejiang University of Technology, Hangzhou, 310023, PR China;2. Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore;3. Griffith School of Engineering, Griffith University, Gold Coast, QLD 4222, Australia
Abstract:In this paper, optimal control for stochastic linear quadratic singular neuro Takagi–Sugeno (T-S) fuzzy system with singular cost is obtained using genetic programming(GP). To obtain the optimal control, the solution of matrix Riccati differential equation (MRDE) is computed by solving differential algebraic equation (DAE) using a novel and nontraditional GP approach. The obtained solution in this method is equivalent or very close to the exact solution of the problem. Accuracy of the solution computed by GP approach to the problem is qualitatively better. The solution of this novel method is compared with the traditional Runge–Kutta (RK) method. A numerical example is presented to illustrate the proposed method.
Keywords:Differential algebraic equation  Genetic programming  Matrix Riccati differential equation  Runge–Kutta method  Optimal control and Stochastic linear quadratic singular neuro Takagi–Sugeno fuzzy system
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