NUMERICAL-SOLUTION OF THE CONTROLLED DUFFING OSCILLATOR BY THE PSEUDOSPECTRAL METHOD

[摘要] This paper presents a numerical method for solving the controlled Duffing oscillator. The method can be extended to nonlinear calculus of variations and optimal control problems. The method is based upon constructing the Mth degree interpolation polynomials to approximate the state and the control vector using Legendre-Gauss-Lobatto collocation points. The differential and integral expressions which arise in the system dynamics, the performance index and the boundary conditions are converted into some algebraic equations which can be solved for the unknown coefficients.

[发布日期] 1994-12-30

[关键词] PSEUDOSPECTRAL;NUMERICAL SOLUTION;DUFFING OSCILLATOR