TR2015-146

A proportional integral extremum-seeking control approach for discrete-time nonlinear systems


    •  Guay, M., Burns, D.J., "A Proportional Integral Extremum-Seeking Control Approach for Discrete-Time Nonlinear Systems", IEEE Conference on Decision and Control (CDC), DOI: 10.1109/​CDC.2015.7403314, December 2015, pp. 6948-6953.
      BibTeX TR2015-146 PDF
      • @inproceedings{Guay2015dec,
      • author = {Guay, M. and Burns, D.J.},
      • title = {A Proportional Integral Extremum-Seeking Control Approach for Discrete-Time Nonlinear Systems},
      • booktitle = {IEEE Conference on Decision and Control (CDC)},
      • year = 2015,
      • pages = {6948--6953},
      • month = dec,
      • publisher = {IEEE},
      • doi = {10.1109/CDC.2015.7403314},
      • isbn = {978-1-4799-7884-7},
      • url = {https://www.merl.com/publications/TR2015-146}
      • }
  • Research Area:

    Control

Abstract:

This paper proposes a proportional-integral extremum-seeking control technique for a class of discretetime nonlinear dynamical systems with unknown dynamics. The technique is a generalization of existing time-varying extremumseeking control techniques that provides fast transient performance of the closed-loop system to the optimum equilibrium of a measured objective function. The main contribution of the proposed technique is the addition of a proportional action that can be used to minimize the impact of a time-scale separation on the transient performance of the extremum-seeking control system. The integral action fulfills the role of standard ESC techniques to identify optimal equilibrium conditions. The effectiveness of the proposed approach is demonstrated using a simulation example.

 

  • Related Publication

  •  Guay, M., Burns, D.J., "A proportional integral extremum-seeking control approach for discrete-time nonlinear systems", International Journal of Control, DOI: 10.1080/​00207179.2016.1213425, May 2016.
    BibTeX TR2016-065 PDF
    • @article{Guay2016may,
    • author = {Guay, Martin and Burns, Daniel J.},
    • title = {A proportional integral extremum-seeking control approach for discrete-time nonlinear systems},
    • journal = {International Journal of Control},
    • year = 2016,
    • month = may,
    • doi = {10.1080/00207179.2016.1213425},
    • url = {https://www.merl.com/publications/TR2016-065}
    • }