The dual weighted residuals approach to optimal control of ordinary differential equations
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The methodology of dual weighted residuals is applied to an optimal control problem for ordinary differential equations. The differential equations are discretized by finite element methods. An a posteriori error estimate is derived and an adaptive algorithm is formulated. The algorithm is implemented in Matlab and tested on a simple model problem from vehicle dynamics.
KeywordsFinite element A posteriori Error estimate Adaptive Dual weighted residual Boundary value problem Differential-algebraic Vehicle dynamics
Mathematics Subject Classification (2000)65L60 49K15
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- 3.Bryson, A.E. Jr., Ho, Y.: Applied Optimal Control. Hemisphere Publishing Corporation, Washington (1975) Google Scholar
- 6.Kraft, K., Larsson, S., Lidberg, M.: Using an adaptive FEM to determine the optimal control of a vehicle during a collision avoidance manoeuvre. In: Proceedings of the 48th Scandinavian Conference on Simulation and Modeling (SIMS2007). Linköping University Electronic Press, Linköping (2007). http://www.ep.liu.se/ecp/027/ Google Scholar
- 8.Pacejka, H.B.: Tyre and Vehicle Dynamics. Butterworth-Heinemann, Oxford (2006) Google Scholar