Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Online regulation of dynamical systems to solutions
of constrained optimization problems
Y. Chen, L. Cothren, J. Cortés,
E. Dall'Anese
Proceedings of the American Control
Conference, Toronto, Canada, 2024
Abstract
This paper considers the problem of regulating a
dynamical system to equilibria that are defined as
solutions of an input- and state-constrained
optimization problem. To solve this regulation task, we
design a state feedback controller based on a continuous
approximation of the projected gradient flow. We first
show that the equilibria of the interconnection between
the plant and the proposed controller correspond to
critical points of the constrained optimization
problem. We then derive sufficient conditions to ensure
that, for the closed-loop system, isolated locally
optimal solutions of the optimization problem are
locally exponentially stable and show that input
constraints are satisfied at all times by identifying an
appropriate forward-invariant set. Simulations
illustrate our results.
pdf
Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
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jorgilliyo