Extremum-seeking control for steady-state performance optimization of nonlinear plants with time-varying steady-state outputs

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Abstract

Extremum-seeking control is a useful tool for the steady-state performance optimization of plants for which the dynamics and disturbance situation can be unknown. The case when steady-state plant outputs are constant received a lot of attention, however, in many applications time-varying outputs characterize plant performance. As a result, no static parameter-to-steady-state performance map can be obtained. In this work, an extremum-seeking control method is proposed that uses a so-called dynamic cost function to cope with these time-varying outputs. We show that, under appropriate conditions, the solutions of the extremum-seeking control scheme are uniformly ultimately bounded in view of bounded and time-varying external disturbances, and the region of convergence towards the optimal tunable plant parameters can be made arbitrarily small. Moreover, its working principle is illustrated by means of the performance optimal tuning of a variable-gain controller for a motion control application.

Original languageEnglish
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers
Pages2990-2995
Number of pages6
Volume2018-June
ISBN (Print)9781538654286
DOIs
Publication statusPublished - 9 Aug 2018
Event2018 Annual American Control Conference, (ACC2018) - Milwauke, United States
Duration: 27 Jun 201829 Jun 2018
http://acc2018.a2c2.org/
http://acc2018.a2c2.org/

Conference

Conference2018 Annual American Control Conference, (ACC2018)
Abbreviated titleACC2018
CountryUnited States
CityMilwauke
Period27/06/1829/06/18
Internet address

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  • Cite this

    Hazeleger, L., Haring, M., & van de Wouw, N. (2018). Extremum-seeking control for steady-state performance optimization of nonlinear plants with time-varying steady-state outputs. In 2018 Annual American Control Conference, ACC 2018 (Vol. 2018-June, pp. 2990-2995). Institute of Electrical and Electronics Engineers. https://doi.org/10.23919/ACC.2018.8431149