IMA Journal of Mathematical Control and Information · 2013 · 39 citations · 0 references
Natural SciencesSystems EngineeringComputational GeometryComputational MechanicsOptimizationControl Of Dynamical SystemsControl SystemsControl TheoryOptimal ControlBezier Curve InterpolationBezier SurfacesControl PointsLinear ControlLinear Control SystemsOptimal Control With Time Delays
The Bezier curves are presented to solve the optimal control problem with pantographs delays. Direct algorithm for solving this problem is given. We have chosen the Bezier curves as piecewise polynomials of degree n, and determine Bezier curves on [t0, tf] by n+1 control points. Numerical examples illustrate that the algorithm is applicable, and very easy to use.