Stochastic Lagrangian Adaptation

David Levanony, Peter E. Caines

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This book introduces a cutting-edge continuous time stochastic linear quadratic (LQ) adaptive control algorithm for fully observed linear stochastic systems with unknown parameters. The adaptive estimation algorithm is engineered to drive the maximum likelihood estimate into the set of parameters representing the true closed-loop dynamics. By incorporating a performance monitoring feature, this approach ensures that the estimate converges to the true system parameters. Concurrently, it delivers optimal long-term LQ closed-loop performance. This groundbreaking work offers a significant advancement in the field of stochastic control systems.

Original languageEnglish
Title of host publicationSpringerBriefs in Mathematics
PublisherSpringer Science and Business Media B.V.
Pages1-74
Number of pages74
DOIs
StatePublished - 1 Jan 2024

Publication series

NameSpringerBriefs in Mathematics
VolumePart F3642
ISSN (Print)2191-8198
ISSN (Electronic)2191-8201

Keywords

  • Adaptive Control
  • Optimization
  • Probability Theory
  • Stochastic Lagrangian Adaptation
  • Stochastic Systems

ASJC Scopus subject areas

  • General Mathematics

Fingerprint

Dive into the research topics of 'Stochastic Lagrangian Adaptation'. Together they form a unique fingerprint.

Cite this