Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching
Author
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper investigates the optimal control problem of a particular class of hybrid dynamical systems with controlled switching.
Given a prespecified sequence of active subsystems, the objective is to seek both the continuous control input and the discrete switching instants that minimize a performance index over a finite time horizon.
Based on the use of the calculus of variations, necessary conditions for optimality are derived.
An efficient algorithm, based on nonlinear optimization techniques and numerical methods, is proposed to solve the boundary-value ordinary differential equations.
In the case of linear quadratic problems, the two-point boundary-value problems can be avoided which reduces the computational effort.
Illustrative examples are provided and stress the relevance of the proposed nonlinear optimization algorithm.
American Psychological Association (APA)
Bouzaouache, Hajer. 2017. Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching. Complexity،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1143042
Modern Language Association (MLA)
Bouzaouache, Hajer. Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching. Complexity No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1143042
American Medical Association (AMA)
Bouzaouache, Hajer. Calculus of Variations and Nonlinear Optimization Based Algorithm for Optimal Control of Hybrid Systems with Controlled Switching. Complexity. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1143042
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143042