Computation of minimum-time feedback control laws for discrete-time systems with state-control constraints
- 1 May 1987
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 32 (5) , 432-435
- https://doi.org/10.1109/tac.1987.1104625
Abstract
The problem of finding a feedback law that drives the state of a linear discrete-time system to the origin in minimum-time subject to state-control constraints is considered. Algorithms are given to obtain facial descriptions of the M -step admissible sets. These descriptions are then used to characterize the complete class of minimum-time feedback laws. Moreover, the characterization leads to a conceptually simple on-line implementation. The main ideas are illustrated with two simple examples.Keywords
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