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Feedback in state constrained optimal control

Francis H. Clarke;  Ludovic Rifford;  R. J. Stern — 2002

ESAIM: Control, Optimisation and Calculus of Variations

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 ε > 0 , produces ε -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...

Feedback in state constrained optimal control

Francis H. Clarke;  Ludovic Rifford;  R. J. Stern — 2010

ESAIM: Control, Optimisation and Calculus of Variations

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 a robustness...

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