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Numerical static state feedback laws for closed-loop singular optimal control

Authors:de Graaf Stefan, Wageningen University, Netherlands
Stigter Johannes, Wageningen University, Netherlands
van Straten Gerrit, Wageningen University, Netherlands
Topic:2.4 Optimal Control
Session:Control Applications of Optimization
Keywords: closed loop, optimal control, nonlinear systems, feedback control, disturbance

Abstract

Singular and non-singular control trajectories of agricultural and (bio) chemical processes may need to be recalculated from time to time for use in closed-loop optimal control, because of unforeseen changes in state values and noise. This is time consuming. As an alternative, in this paper, numerical, nonlinear, static state feedback laws are developed for optimal control on the singular arc that can be applied in closed-loop without the need for iteration. The efficacy of these laws is demonstrated in an example.