Nonlinear Optimal Control Synthesis Using Basis Functions: Algorithms and Examples

The ability to quickly synthesize an optimal control signal for a nonlinear system is critical for practical implementations. In previous work, we have introduced a computational procedure to iteratively synthesize an optimal control signal for a very broad class of nonlinear control systems. This p...

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Published inControl Technology and Applications (Online) pp. 493 - 498
Main Authors Vu, Minh, Fang, Hao, Zeng, Shen
Format Conference Proceeding
LanguageEnglish
Published IEEE 09.08.2021
Subjects
Conferences
Nonlinear control systems
Nonlinear systems
Optimal control
Online AccessGet full text
ISSN2768-0770
DOI10.1109/CCTA48906.2021.9658843

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Abstract The ability to quickly synthesize an optimal control signal for a nonlinear system is critical for practical implementations. In previous work, we have introduced a computational procedure to iteratively synthesize an optimal control signal for a very broad class of nonlinear control systems. This paper presents an extension of the approach to allow for different parameterizations of control inputs, resulting in a substantial reduction in the number of decision variables and thus computation time. The highlighted efficiency and effectiveness of the proposed approach are illustrated and compared against other methods using various control examples.
AbstractList The ability to quickly synthesize an optimal control signal for a nonlinear system is critical for practical implementations. In previous work, we have introduced a computational procedure to iteratively synthesize an optimal control signal for a very broad class of nonlinear control systems. This paper presents an extension of the approach to allow for different parameterizations of control inputs, resulting in a substantial reduction in the number of decision variables and thus computation time. The highlighted efficiency and effectiveness of the proposed approach are illustrated and compared against other methods using various control examples.
Author Zeng, Shen
Fang, Hao
Vu, Minh
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  surname: Zeng
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  email: s.zeng@wustl.edu
  organization: Washington University in St. Louis,Department of Electrical and System Engineering,St. Louis,MO,USA
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Snippet The ability to quickly synthesize an optimal control signal for a nonlinear system is critical for practical implementations. In previous work, we have...
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StartPage 493
SubjectTerms Conferences
Nonlinear control systems
Nonlinear systems
Optimal control
Title Nonlinear Optimal Control Synthesis Using Basis Functions: Algorithms and Examples
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