Necessary Conditions of Optimality in the Gamkrelidze's Form for General Dynamic Control Systems with State and Mixed Constraints

• Type: Article in International Conference Proceedings Book
• Date: 2021

Authors

Khalil, NT (Author) FEUP; Pereira, FL (Author) Other

Conference proceedings International

Title: 2021 AMERICAN CONTROL CONFERENCE (ACC)

Pages: 4797-4802

American Control Conference (ACC)

ELECTR NETWORK, MAY 25-28, 2021

Indexing

ISI Web of Knowledge - 0 Citations

Other information

Authenticus ID: P-00V-KYQ

DOI: 10.23919/acc50511.2021.9483201

Abstract (EN): This article focuses on establishing the necessary conditions of optimality in the Gamkrelidze's form for an optimal control problem with dynamics given by a differential inclusion with a control drift term, and featuring state, control, and mixed constraints. These dynamics provide a suitable interpretation of phenomena described by discontinuous ordinary differential equation, arising, for example, in mechanical systems featuring Coulomb friction, or power electronic systems with ideal switches. The Gamkrelidze's form differs from the usual Dubovitskii-Milyutin one mainly in the expression of the Hamiltonian. However, it enables very efficient indirect computational methods, whenever the state constraint map exhibits a mild extra smoothness.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6