The application of a universal separating vector lemma to optimal sampled-data control problems with nonsmooth Mayer cost function

Optimal Sampled-data Control

On numerical solution of optimal control problems with nonsmooth objectives: Application to economic models

Optimal control problems with nonsmooth objectives appear frequently in many practical situations, see e.g. [2] or [9]. For such problems the necessary optimality conditions in form of an appropriate maximum principle have been derived by Clarice [1], allowing even the system dynamics to be nonsmooth. Sufficient optimality conditions for a certain class of such problems can be found in [4]. Exi...

Solution of Fractional Optimal Control Problems with Noise Function Using the Bernstein Functions

This paper presents a numerical solution of a class of fractional optimal control problems (FOCPs) in a bounded domain having a noise function by the spectral Ritz method‎. ‎The Bernstein polynomials with the fractional operational matrix are applied to approximate the unknown functions‎. ‎By substituting these estimated functions into the cost functional‎, ‎an unconstrained nonlinear optimizat...

Design framework for high-performance optimal sampled-data control with application to a wafer stage

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Nonconvex Optimal Control Problems with Nonsmooth Mixed State Constraints

Necessary conditions of optimality in the form of a weak maximum principle are derived for optimal control problems with mixed constraints. Such conditions differ from previous work since they hold when a certain convexity assumption is replaced by an “interiority” assumption. Notably the result holds for problems with possibly nonsmooth mixed constraints and with additional pointwise set contr...