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Feedback in state constrained optimal control. (English) Zbl 1033.49004
Authors’ abstract: “An optimal control problem is studied, in which the state is required to remain in a compact set \(S\). A control feedback law is constructed which, for given \(\varepsilon>0\), produces \(\varepsilon\)-optimal trajectories that satisfy the state constraint universally with respect to all initial conditions in \(S\). The construction relies upon a constraint removal technique which utilizes geometric properties of inner approximations of \(S\) and a related trajectory tracking result. The control feedback is shown to possess a robustness property with respect to state measurement error”.

MSC:
49J24 Optimal control problems with differential inclusions (existence) (MSC2000)
49J52 Nonsmooth analysis
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