Authors:
Paolo Di Giamberardino
1
and
Daniela Iacoviello
2
Affiliations:
1
Dept. Computer, Control and Management Engineering Antonio Ruberti, Sapienza University of Rome and Italy
;
2
Dept. Computer, Control and Management Engineering Antonio Ruberti, Sapienza University of Rome, Italy, Institute for Systems Analysis and Computer Science Antonio Ruberti, Rome and Italy
Keyword(s):
Optimal Control, Singular Control, Costate Independent Singular Surface, SIR Epidemic Model.
Related
Ontology
Subjects/Areas/Topics:
Engineering Applications
;
Informatics in Control, Automation and Robotics
;
Intelligent Control Systems and Optimization
;
Nonlinear Signals and Systems
;
Optimization Problems in Signal Processing
;
Robotics and Automation
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
The paper studies the problem of determining the optimal control when singular arcs are present in the solution. In the general classical approach the expressions obtained depend on the state and the costate variables at the same time, so requiring a forward-backward integration for the computation of the control. In this paper, sufficient conditions on the dynamics structure are provided and discussed in order to have both the control and the switching function depending on the state only, so simplifying the computation avoiding the necessity of the backward integration. The approach has been validated on a classical SIR epidemic model.