Time-varying Newton based extremum seeking for optimization of vapor compression systems

Bryan Keating, Andrew Alleyne

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


In applications such as home air conditioners and building chillers, optimizing a vapor compression system's energy consumption may lead to significant operational cost savings for the entire HVAC system. Model-free extremum seeking has recently been investigated as a means of real-time nonlinear programming for HVAC equipment. For mass produced vapor compression systems, gradient descent extremum seeking may incur a high manual tuning cost because knowledge of the performance index function's curvature is required for algorithm deployment. Using Newton descent extremum seeking is a possible remedy for replacing manual tuning with automatic tuning of optimization gains. However, Newton descent extremum seeking requires estimation of the Hessian inverse, leading to an increase in the number of estimated parameters. Thus, a well-tuned gradient descent controller that incorporates prior knowledge of the Hessian inverse may converge at a faster rate. This paper proposes a discrete-time extremum seeking algorithm that extends previous approaches from the literature and addresses the Newton descent convergence rate issue by leveraging the recursive least-squares algorithm's potential for achieving fast parameter estimation. Using a moving boundary vapor compression system simulation model, the strengths and weaknesses of the proposed approach are evaluated against its gradient descent and LTI filter based extremum seeking counterparts. Results confirm that Newton descent is robust to Hessian uncertainty, while the convergence rate improvement from using recursive least-squares estimation helps the proposed approach compete with gradient descent extremum seeking.

Original languageEnglish (US)
Title of host publication2017 American Control Conference, ACC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781509059928
StatePublished - Jun 29 2017
Externally publishedYes
Event2017 American Control Conference, ACC 2017 - Seattle, United States
Duration: May 24 2017May 26 2017

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2017 American Control Conference, ACC 2017
Country/TerritoryUnited States

Bibliographical note

Publisher Copyright:
© 2017 American Automatic Control Council (AACC).


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