Solving linear and nonlinear optimal control problem using modified adomian decomposition method

Journal of Computer & Robotics

مقاله 5، دوره 1، شماره 1، اردیبهشت 2008   

نویسندگان

Ahmad Fakharian؛ Mohammad Taghi Hamidi Beheshti

tarbiat modares

چکیده

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.

کلیدواژه‌ها

Hamilton-Jacobi-Belman equation؛ Keywords: Adomian decomposition method؛ Optimal Control؛ Riccati differential equation