@inproceedings{b39ead86f97d46399de7fc603fc52125,
title = "Trajectory-based proofs for sampled-data extremum seeking control",
abstract = "Extremum seeking of nonlinear systems based on a sampled-data control law is revisited. It is established that under some generic assumptions, semi-global practical asymptotically stable convergence to an extremum can be achieved. To this end, trajectory-based arguments are employed, by contrast with Lyapunov-function-type approaches in the existing literature. The proof is simpler and more straightforward; it is based on assumptions that are in general easier to verify. The proposed extremum seeking framework may encompass more general optimisation algorithms, such as those which do not admit a state-update realisation and/or Lyapunov functions. Multi-unit extremum seeking is also investigated within the context of accelerating the speed of convergence.",
keywords = "Extremum seeking, multi-unit systems, robustness, sampled-data control, trajectory properties",
author = "Khong, {Sei Zhen} and Dragan Nesic and Ying Tan and Chris Manzie",
year = "2013",
month = sep,
day = "11",
language = "English (US)",
isbn = "9781479901777",
series = "Proceedings of the American Control Conference",
pages = "2751--2756",
booktitle = "2013 American Control Conference, ACC 2013",
note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",
}