Abstract
We consider optimal control of linear continuous time systems subject to constrained inputs based on output measurements that are subject to set-membership uncertainties. The objective is to steer the system in a fixed finite-time to a given polyhedral set while minimizing a linear terminal cost function. To achieve this objective a min-max optimal control strategy is proposed, taking into account that at future time instants new measurement information is available for feedback. The proposed strategy coincides with the (computationally intractable) exact min-max dynamic programming solution if all future measurement times are considered. Limiting the number of instants at which the new measurement information is considered we achieve a compromise between the computational efforts for feedback construction and the performance of the closed-loop.
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