On July 22, we organized a scientific seminar titled “Polyhedral Control Design: Advances in Theory, Methods, and Applications”. Boris Houska, a professor at ShanghaiTech University, led the seminar, which was organized within the framework of the FrontSeat project as part of the “Research Seminar on Smart Cybernetics” series.
Abstract:
This presentation offers an overview of polyhedral computing methods, a field that has seen significant advancements in recent years. We first discuss parameterization approaches that allow us to optimize potentially high-dimensional polyhedra and polytopes using convex optimization tools. A special emphasis is on configuration-constrained polytopes that admit a jointly convex parameterization of their facets and vertices.
In a second part of the talk, we shift our focus to cutting-edge techniques for leveraging these polytopes to compute geometric structures. This includes methods for computing robust control invariant polytopes, control Lyapunov functions with polyhedral epigraphs, and robust control tubes for robust and tube-based model predictive control.
We conclude by discussing the complexity and potential of polyhedral computing methods based on large-scale convex optimization, identifying key research directions that have the potential to revolutionize the field of polyhedral control design and open up new possibilities for the control of complex systems.
This project has received funding from the European Union’s Horizon under grant no. 101079342 (Fostering Opportunities Towards Slovak Excellence in Advanced Control for Smart Industries).
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