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Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems
Joint Authors
Bouafoura, Mohamed Karim
Benhadj Braiek, Naceur
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The aim of this paper is to determine the optimal open loop solution and a nonlinear delay-dependent state feedback suboptimal control for a class of nonlinear polynomial time delay systems.
The proposed method uses a hybrid of block pulse functions and Legendre polynomials as an orthogonal base for system’s states and input expansion.
Hence, the complex dynamic optimization problem is then reduced, with the help of operational properties of the hybrid basis and Kronecker tensor product lemmas, to a nonlinear programming problem that could be solved with available NLP solvers.
A practical nonlinear feedback controller gains are deduced with respect to a least square formalism based on the optimal open loop control results.
Simulation results show efficiency of the proposed numerical optimal approach.
American Psychological Association (APA)
Bouafoura, Mohamed Karim& Benhadj Braiek, Naceur. 2019. Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems. Complexity،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1133307
Modern Language Association (MLA)
Bouafoura, Mohamed Karim& Benhadj Braiek, Naceur. Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems. Complexity No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1133307
American Medical Association (AMA)
Bouafoura, Mohamed Karim& Benhadj Braiek, Naceur. Hybrid Functions Direct Approach and State Feedback Optimal Solutions for a Class of Nonlinear Polynomial Time Delay Systems. Complexity. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1133307
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133307