| Issue |
ESAIM: COCV
Volume 7, 2002
|
|
|---|---|---|
| Page(s) | 97 - 133 | |
| DOI | https://doi.org/10.1051/cocv:2002005 | |
| Published online | 15 September 2002 | |
Feedback in state constrained optimal control
1
Institut Desargues, bâtiment 101,
Université Claude Bernard Lyon I, 69622 Villeurbanne, France; clarke@desargues.univ-lyon1.fr.
2
Department of Mathematics and Statistics,
Concordia University,
Montréal, Quebec H4B 1R6, Canada.
Received:
19
December
2000
Revised:
2
July
2001
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 property with respect to state measurement error.
Mathematics Subject Classification: 49J24 / 49J52 / 49N55 / 90D25
Key words: Optimal control / state constraint / near-optimal control feedback / nonsmooth analysis.
© EDP Sciences, SMAI, 2002
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