A cell averaging Chebyshev method for the controlled Duffing oscillator. (English) Zbl 1054.93020
The authors suggest a numerical method to solve an optimal control problem for the Duffing oscillator. The base of the approach is a cell averaging method producing Chebyshev interpolating polynomials for the approximation of the state and control vectors. The system dynamics and the performance index are converted into some algebraic equations and their approximation is obtained. Tables illustrating numerical results are presented.
Reviewer: Valerii V. Obukhovskij (Voronezh)
MSC:
93B40 | Computational methods in systems theory (MSC2010) |
93C10 | Nonlinear systems in control theory |
34C29 | Averaging method for ordinary differential equations |