Data-driven control

A dedicated chapter in Brunton's book. It only gives an introduction to the technique, but that is also our goal for this course. Accompanied by their videos, this depth and breadth can perhaps be sufficient to get you started.

But if more is needed, then Krstic's seminal paper

• Krstić, Miroslav, and Hsin-Hsiung Wang. “Stability of Extremum Seeking Feedback for General Nonlinear Dynamic Systems.” Automatica 36, no. 4 (April 1, 2000): 595–601. https://doi.org/10.1016/S0005-1098(99)00183-1.

is actually quite accessible for engineering readers. Discrete-time version is handled in the paper

• Choi, Joon-Young, M. Krstic, K.B. Ariyur, and J.S. Lee. “Extremum Seeking Control for Discrete-Time Systems.” IEEE Transactions on Automatic Control 47, no. 2 (2002): 318–23. https://doi.org/10.1109/9.983370.

More material is included in his/their book

• Ariyur, Kartik B., and Miroslav Krstic. Real-Time Optimization by Extremum-Seeking Control. John Wiley & Sons, 2003. https://onlinelibrary.wiley.com/doi/book/10.1002/0471669784,
  

which is still referred to as the major reference.

Miroslav Krstic's lecture slides are available online but I am not convinced that they can be conveniently consumed without the accompanying lecture. Still, they may be useful:

There is also some more recent monograph

• Zhang, Chunlei, and Raúl Ordóñez. Extremum-Seeking Control and Applications: A Numerical Optimization-Based Approach. Springer Science & Business Media, 2011. https://link.springer.com/book/10.1007/978-1-4471-2224-1.

and a survey paper

• Dochain, Denis, Michel Perrier, and Martin Guay. “Extremum Seeking Control and Its Application to Process and Reaction Systems: A Survey.” Mathematics and Computers in Simulation, 6th Vienna International Conference on Mathematical Modelling, 82, no. 3 (November 1, 2011): 369–80. https://doi.org/10.1016/j.matcom.2010.10.022.

but over the last decade it is mostly application papers that are published on ESC. An interesting one is:

• Brunton, Steven L., Clarence W. Rowley, Sanjeev R. Kulkarni, and Charles Clarkson. “Maximum Power Point Tracking for Photovoltaic Optimization Using Ripple-Based Extremum Seeking Control.” IEEE Transactions on Power Electronics 25, no. 10 (2010): 2531–40. https://doi.org/10.1109/TPEL.2010.2049747.

The paper contains not only a description of an interesting engineering application of the ESC method, but it also discusses special opportunities in power electronics, where the external perturbing harmonic signal is automatically present – the ripple introduces by the inverter's switching. However, as the response paper

• Bazzi, Ali M., and Philip T. Krein. “Concerning ‘Maximum Power Point Tracking for Photovoltaic Optimization Using Ripple-Based Extremum Seeking Control.’” IEEE Transactions on Power Electronics 26, no. 6 (June 2011): 1611–12. https://doi.org/10.1109/TPEL.2010.2093605.

shows, this phenomenon had already been known to power electronics control guys for quite some time under the name of ripple correlation control (RCC). Very interesting stuff.

For automotive engineering domain, quite a few papers describe applications to anti-lock braking systems (ABS):

• Dinçmen, Erkin, Bilin Aksun Güvenç, and Tankut Acarman. “Extremum-Seeking Control of ABS Braking in Road Vehicles With Lateral Force Improvement.” IEEE Transactions on Control Systems Technology 22, no. 1 (January 2014): 230–37. https://doi.org/10.1109/TCST.2012.2229465.
• Xu, Qingshi, and Lilong Cai. “Active Braking Control of Electric Vehicles to Achieve Maximal Friction Based on Fast Extremum-Seeking and Reachability.” IEEE Transactions on Vehicular Technology 69, no. 12 (December 2020): 14869–83. https://doi.org/10.1109/TVT.2020.3043276.
  
• Zhang, Chunlei, and Ral Ordonez. “Numerical Optimization-Based Extremum Seeking Control With Application to ABS Design.” IEEE Transactions on Automatic Control 52, no. 3 (March 2007): 454–67. https://doi.org/10.1109/TAC.2007.892389.

Some applications to combustion engine control too:

• Hellström, Erik, Donghoon Lee, Li Jiang, Anna G. Stefanopoulou, and Hakan Yilmaz. “On-Board Calibration of Spark Timing by Extremum Seeking for Flex-Fuel Engines.” IEEE Transactions on Control Systems Technology 21, no. 6 (November 2013): 2273–79. https://doi.org/10.1109/TCST.2012.2236093.
• Killingsworth, Nick J., Salvador M. Aceves, Daniel L. Flowers, Francisco Espinosa-Loza, and Miroslav Krstic. “HCCI Engine Combustion-Timing Control: Optimizing Gains and Fuel Consumption Via Extremum Seeking.” IEEE Transactions on Control Systems Technology 17, no. 6 (November 2009): 1350–61. https://doi.org/10.1109/TCST.2008.2008097.
• Popovic, D., M. Jankovic, S. Magner, and A.R. Teel. “Extremum Seeking Methods for Optimization of Variable Cam Timing Engine Operation.” IEEE Transactions on Control Systems Technology 14, no. 3 (May 2006): 398–407. https://doi.org/10.1109/TCST.2005.863660.
• Popp, Johannes, and Joachim Deutscher. “Optimizing a Hybrid Diesel Power Unit Using Extremum-Seeking Control.” IEEE Transactions on Control Systems Technology 27, no. 5 (September 2019): 2068–84. https://doi.org/10.1109/TCST.2018.2848636.
• Tan, Qingyuan, Prasad Divekar, Ying Tan, Xiang Chen, and Ming Zheng. “Model-Guided Extremum Seeking for Diesel Engine Fuel Injection Optimization.” IEEE/ASME Transactions on Mechatronics 23, no. 2 (April 2018): 936–46. https://doi.org/10.1109/TMECH.2018.2793879.