Solving linear and nonlinear optimal control problem using modified adomian decomposition method
Publish place: Journal of Computer and Robotics، Vol: 1، Issue: 1
Publish Year: 1386
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JCR-1-1_005
تاریخ نمایه سازی: 23 دی 1396
Abstract:
First Riccati equation with matrix variable coefficients, arising in optimal and robust control approach, is considered. An analytical approximation of the solution of nonlinear differential Riccati equation is investigated using the Adomian decomposition method. An application in optimal control is presented. The solution in different order of approximations and different methods of approximation will be compared respect to accuracy. Then the Hamilton-Jacobi-Belman (HJB) equation, obtained in nonlinear optimal approach, is considered and an analytical approximation of the solution of it using the Adomian decomposition method is presented.
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Authors
Ahmad Fakharian
Control Group, Department of Electrical & Computer, Faculty of Engineering, Tarbiat modarres University, Tehran, Iran
Mohammad Taghi Hamidi Beheshti
Control Group, Department of Electrical & Computer, Faculty of Engineering, Tarbiat modarres University, Tehran, Iran