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Time-Varying Feedback Optimization for Quadratic Programs with Heterogeneous Gradient Step Sizes

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arxiv 2309.02618 v1 pith:NZLIUN4F submitted 2023-09-05 math.OC

Andrey Bernstein , Joshua Comden , Yue Chen , Jing Wang This is my paper · ORCID
classification math.OC
keywords onlineoptimizationalgorithmscontrolgradientheterogeneousprogramsquadratic
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Online feedback-based optimization has become a promising framework for real-time optimization and control of complex engineering systems. This tutorial paper surveys the recent advances in the field as well as provides novel convergence results for primal-dual online algorithms with heterogeneous step sizes for different elements of the gradient. The analysis is performed for quadratic programs and the approach is illustrated on applications for adaptive step-size and model-free online algorithms, in the context of optimal control of modern power systems.

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