Exact penalization of terminal constraints for optimal control problems

Exact penalization of terminal constraints for optimal control problems

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Article ID: iaor20163935
Volume: 37
Issue: 6
Start Page Number: 1329
End Page Number: 1354
Publication Date: Nov 2016
Journal: Optimal Control Applications and Methods
Authors: ,
Keywords: optimization
Abstract:

We study optimal control problems for linear systems with prescribed initial and terminal states. We analyze the exact penalization of the terminal constraints. We show that for systems that are exactly controllable, the norm‐minimal exact control can be computed as the solution of an optimization problem without terminal constraint but with a nonsmooth penalization of the end conditions in the objective function, if the penalty parameter is sufficiently large. We describe the application of the method for hyperbolic and parabolic systems of partial differential equations, considering the wave and heat equations as particular examples

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