Feedback in state constrained optimal control - Archive ouverte HAL
Journal Articles ESAIM: Control, Optimisation and Calculus of Variations Year : 2002

Feedback in state constrained optimal control

Ludovic Rifford
R.J. Stern
  • Function : Author

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 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 tra jectory tracking result. The control feedback is shown to possess a robustness property with respect to state measurement error.
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Dates and versions

hal-00768999 , version 1 (27-12-2012)

Identifiers

  • HAL Id : hal-00768999 , version 1

Cite

F.H. Clarke, Ludovic Rifford, R.J. Stern. Feedback in state constrained optimal control. ESAIM: Control, Optimisation and Calculus of Variations, 2002, 7, pp.97-133. ⟨hal-00768999⟩
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