Learning Bang-Bang Regulators

Arthur R. Butz

doi:10.1109/TAC.1968.1098805

Learning Bang-Bang Regulators

Arthur R. Butz^*

^*Corresponding author for this work

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A continuous-time algorithm for learning a stable bang-bang regulator is developed. It is assumed that a Liapunov function V(x) is known such that V is negative definite for some bang-bang control. The plant may be unstable since a simple condition (that a constant be large enough) on the learning algorithm guarantees stability of the closed-loop system during the learning phase. Derivative computation is required, but a significant time delay and an error are permissible in such computation.

Original language	English (US)
Pages (from-to)	96-99
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	13
Issue number	1
DOIs	https://doi.org/10.1109/TAC.1968.1098805
State	Published - Feb 1968

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.1968.1098805

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AB - A continuous-time algorithm for learning a stable bang-bang regulator is developed. It is assumed that a Liapunov function V(x) is known such that V is negative definite for some bang-bang control. The plant may be unstable since a simple condition (that a constant be large enough) on the learning algorithm guarantees stability of the closed-loop system during the learning phase. Derivative computation is required, but a significant time delay and an error are permissible in such computation.

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Learning Bang-Bang Regulators

Abstract

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