Optimality Condition-Based Sensitivity Analysis of Optimal Control for Hybrid Systems and Its Application
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-28
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Gradient-based algorithms are efficient to compute numerical solutions of optimal control problems for hybrid systems (OCPHS), and the key point is how to get the sensitivity analysis of the optimal control problems.
In this paper, optimality condition-based sensitivity analysis of optimal control for hybrid systems with mode invariants and control constraints is addressed under a priori fixed mode transition order.
The decision variables are the mode transition instant sequence and admissible continuous control functions.
After equivalent transformation of the original problem, the derivatives of the objective functional with respect to control variables are established based on optimal necessary conditions.
By using the obtained derivatives, a control vector parametrization method is implemented to obtain the numerical solution to the OCPHS.
Examples are given to illustrate the results.
American Psychological Association (APA)
Song, Chunyue. 2012. Optimality Condition-Based Sensitivity Analysis of Optimal Control for Hybrid Systems and Its Application. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1001727
Modern Language Association (MLA)
Song, Chunyue. Optimality Condition-Based Sensitivity Analysis of Optimal Control for Hybrid Systems and Its Application. Mathematical Problems in Engineering No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-1001727
American Medical Association (AMA)
Song, Chunyue. Optimality Condition-Based Sensitivity Analysis of Optimal Control for Hybrid Systems and Its Application. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-1001727
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001727