Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Regularity properties of optimization-based controllers
P. Mestres, A. Allibhoy, J. Cortés
European Journal of Control, submitted
Abstract
This paper studies regularity properties of optimization-based
controllers, which are obtained by solving optimization problems
where the parameter is the system state and the optimization
variable is the input to the system. Under a wide range of
assumptions on the optimization problem data, we provide an
exhaustive collection of results about their regularity, and
examine their implications on the existence and uniqueness of
solutions and the forward invariance guarantees for the resulting
closed-loop systems. We discuss the broad relevance of the
results in different areas of systems and controls.
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Mechanical and Aerospace Engineering,
University of California, San Diego
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