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On Minimax Adaptive Control

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If you have a question about this talk, please contact Xiaodong Cheng.

The history of adaptive control dates back at least to aircraft autopilot development in the 1950s. Computer control and system identification led to a surge of research interest during the decades to follow. Recently, research activities have been stimulated by the progress in machine leaning. Abundance of data and computing resources creates an ever-growing stream of engineering opportunities for adaptation. This presentation will focus on linear time-invariant systems with uncertain parameters restricted to a finite set. By studying min-max dynamic games like in H-infinity control, it is possible to compute adaptive feedback controllers with bounded l2-gain from disturbances to errors. The gain bound refers to the closed loop system, including the non-linear learning procedure. As a result, robustness to unmodelled dynamics (possibly nonlinear and infinite-dimensional) follows from the small gain theorem.

This talk is part of the CUED Control Group Seminars series.

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