Numerical Methods for Large Scale Moving Horizon Estimation and Control

2004 ◽  
Vol 37 (9) ◽  
pp. 895-900 ◽  
Author(s):  
John Bagterp Jørgensen ◽  
James B. Rawlings ◽  
Sten Bay Jørgensen
Keyword(s):  
Numerical Methods ◽  
Large Scale ◽  
Moving Horizon Estimation ◽  
Estimation And Control ◽  
And Control

Koopman Operators for Estimation and Control of Dynamical Systems

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Samuel E. Otto ◽  
Clarence W. Rowley
Keyword(s):  
Numerical Methods ◽  
Autonomous Systems ◽  
The State ◽  
Annual Review ◽  
Publication Date ◽  
Control Input ◽  
Koopman Operator ◽  
Estimation And Control ◽  
And Control ◽  
Theoretical Foundations

A common way to represent a system's dynamics is to specify how the state evolves in time. An alternative viewpoint is to specify how functions of the state evolve in time. This evolution of functions is governed by a linear operator called the Koopman operator, whose spectral properties reveal intrinsic features of a system. For instance, its eigenfunctions determine coordinates in which the dynamics evolve linearly. This review discusses the theoretical foundations of Koopman operator methods, as well as numerical methods developed over the past two decades to approximate the Koopman operator from data, for systems both with and without actuation. We pay special attention to ergodic systems, for which especially effective numerical methods are available. For nonlinear systems with an affine control input, the Koopman formalism leads naturally to systems that are bilinear in the state and the input, and this structure can be leveraged for the design of controllers and estimators. Expected final online publication date for the Annual Review of Control, Robotics, and Autonomous Systems, Volume 4 is May 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

scholarly journals Modeling, estimation, and control in large-scale urban road networks with remaining travel distance dynamics

2021 ◽  
Vol 128 ◽  
pp. 103157
Author(s):  
Isik Ilber Sirmatel ◽  
Dimitrios Tsitsokas ◽  
Anastasios Kouvelas ◽  
Nikolas Geroliminis
Keyword(s):  
Large Scale ◽  
Road Networks ◽  
Travel Distance ◽  
Urban Road ◽  
Estimation And Control ◽  
And Control
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