Feedback in state constrained optimal control
Francis H. Clarke, Ludovic Rifford, R. J. Stern (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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An optimal control problem is studied, in which the state is required to remain in a compact set . A control feedback law is constructed which, for given ε > 0, produces -optimal trajectories that satisfy the state constraint universally with respect to all initial conditions in . The construction relies upon a constraint removal technique which utilizes geometric properties of inner approximations of and a related trajectory tracking result. The control feedback is shown to possess...