Existence of Minimum Upcrossing Controllers
Author
Summary, in English
An optimal stochastic control problem that minimizes the probability that a signal upcrosses a level is solved by rewriting it as a one-parametric optimization problem over a set of LQG control problem solutions. Finding the optimal controller can be interpreted as finding an optimal costing transfer function. The existence of the optimal controller is investigated in a constructive way, and it is shown that it is equivalent to the existence of a controller with sufficiently small closed-loop variance of the controlled signal.
Department/s
Publishing year
1997
Language
English
Pages
871-879
Publication/Series
Automatica
Volume
33
Issue
5
Document type
Journal article
Publisher
Pergamon Press Ltd.
Topic
- Control Engineering
Status
Published
ISBN/ISSN/Other
- ISSN: 0005-1098