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.

State Feedback Optimal Control with Singular Solution for a Class of Nonlinear Dynamics / Di Giamberardino, Paolo; Iacoviello, Daniela. - (2018), pp. 346-353. (Intervento presentato al convegno 15th International Conference on Informatics in Control, Automation and Robotics tenutosi a Porto; Portugal) [10.5220/0006859903460353].

State Feedback Optimal Control with Singular Solution for a Class of Nonlinear Dynamics

Di Giamberardino, Paolo
Primo
;
Iacoviello, Daniela
Secondo
2018

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.
2018
15th International Conference on Informatics in Control, Automation and Robotics
optimal control; singular control; costate independent singular surface; SIR epidemic model
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
State Feedback Optimal Control with Singular Solution for a Class of Nonlinear Dynamics / Di Giamberardino, Paolo; Iacoviello, Daniela. - (2018), pp. 346-353. (Intervento presentato al convegno 15th International Conference on Informatics in Control, Automation and Robotics tenutosi a Porto; Portugal) [10.5220/0006859903460353].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1308989
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