**Abst
ract**

In this workshop\, we wi ll understand how numerical optimization algorithms can be converted into feedback controllers to enable robust “closed-loop optimization”. First\, we will review different existing approaches of online optimization applie d to problems in energy systems\, with particular focus on microgrids\, an d we will discuss their pros and cons. Second\, we will review various opt imization algorithms to then show how they can be formulated as dynamical systems. Third\, we will discuss how to use the aforementioned background to design optimization algorithms in closed loop with physical systems\, o r feedback-based optimization algorithms [1]\, that steer the physical sys tem towards the solution of an underlying constrained optimization problem . Finally\, we will discuss a few specific applications of feedback optimi zation to the control and operation of microgrids\, and also other possibl e applications of feedback optimization to energy systems.

[1] | A. Hauswirth\, S. B
olognani\, G. Hug y F. Dörfler\, " |

**Outline**

- Applications o f online optimization techniques in energy systems.
- Brief review o f relevant optimization algorithms.
- Formulation of optimization al gorithms as dynamical systems.
- Designing feedback-based optimizati on algorithms.
- Applications of feedback-based optimization to micr ogrids.
- Discussion: Potential applications of feedback optimizatio n to the operation of energy systems.

**BIO:**

Daniel Eduardo Olivares Quero is an A ssociate Professor at the Faculty of Engineering and Sciences of the Adolf o Ibañez University (UAI)\, Director of the UAI Center for Energy Transiti on (CENTRA)\, and Adjunct Associate Professor at the ECE Department of the University of Waterloo. He has more than 12 years of experience in scient ific studies and technical-economic analysis of the electricity sector in the national and international context. He holds a Civil Electrical Engine ering degree from the University of Chile\, and a Ph.D. in Electrical and Computer Engineering from the University of Waterloo\, Canada. Additionall y\, he is an associate researcher at the Solar Energy Research Center (SER C-Chile)\, and an associate researcher at the Complex Engineering Systems Institute (ISCI). His research focuses on the development of control schem es\, and computational models and tools for the efficient operation and pl anning of sustainable energy systems. Prof. Olivares has been a consultant on various technical\, economic\, and regulatory aspects in Chile for the Ministry of Energy\, the National Energy Commission\, and the National El ectrical Coordinator in Chile\, as well as international organizations suc h as GIZ and the Bank World.