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, ISBN: 978-1-4799-7884-7, December 2015, pp. 6948-6953.
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      • @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 = {http://www.merl.com/publications/TR2015-146}
      • }
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    Mechatronics


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.