Contact: emma [dot] tegling [at] control [dot] lth [dot] se
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Abstract: Modern engineering systems are increasingly complex, composed of multiple spatially distributed subsystems and equipped with distributed sensing and actuation. Examples include platoons of self-driving vehicles, formation flight, satellite constellations, and the power grid. Often, it is intractable for any one subsystem to communicate with all other subsystems, and in this talk we examine ways to ensure that a control policy can be implemented in accordance with this local communication structure. In particular, we leverage the fact that the optimal linear controller design problem subject to sparsity constraints on the closed-loop transfer functions provides a convex relaxation of the optimal controller design problem subject to constraints on the structure of a controller state-space realization.
The two distinct contributions of the talk are as follows. First, we provide an explicit parameterization of all achievable closed-loop mappings for a given plant. Second, we demonstrate that when additional relative feedback constraints are imposed, the optimal controller design problem subject to sparsity constraints on the closed-loops may be infeasible; this begins to provide a comparative context for various structured distributed controller design methods such as System Level Synthesis (SLS), funnel causality and quadratic invariance, as well as the open problems of structured and networked realizations.
Bio: Emily Jensen is a postdoctoral researcher in the Department of Mechanical Engineering at the University of California, Santa Barbara (UCSB). She received a Ph.D. in Electrical & Computer Engineering from UCSB in 2020 and a B.S. degree in Engineering Mathematics & Statistics from the University of California, Berkeley in 2015. In 2016, she worked as a research assistant in the Department of Computing & Mathematical Sciences at Caltech before beginning her graduate studies. Her research has focused on distributed and networked control, optimal control, and dynamics and control of distributed parameter systems. She is the recipient of the UC Regents’ Graduate Fellowship (2016) and of the Zonta Amelia Earhart Fellowship (2019).
Location: The seminar is given via Zoom: https://mit.zoom.us/j/94257021573
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