THE APPLICATION OF THE VARIATIONAL PRINCIPLE IN THE CONSTRAINED CONTROL SYSTEM

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (6): 517-528.

THE APPLICATION OF THE VARIATIONAL PRINCIPLE IN THE CONSTRAINED CONTROL SYSTEM

邓子辰¹, 钟万勰²

1. Northwestern Polytechnical University, Xi'an;
2. Dalian University of Technology, Dalian

收稿日期:1992-09-25 出版日期:1994-06-18 发布日期:1994-06-18
基金资助:
Project usupportcd by the Natronal Natural Scrence Foundation of China

THE APPLICATION OF THE VARIATIONAL PRINCIPLE IN THE CONSTRAINED CONTROL SYSTEM

Deng Zi-chen¹, Zhong Wan-xie²

1. Northwestern Polytechnical University, Xi'an;
2. Dalian University of Technology, Dalian

Received:1992-09-25 Online:1994-06-18 Published:1994-06-18
Supported by:
Project usupportcd by the Natronal Natural Scrence Foundation of China

摘要/Abstract

摘要： The regular equations on the constraint variables are established for LQ and non-linear control problems in this paper,then the extreme-value principles of con-straint variables are discussed for the equality and unequality constraint cases respec-tively. At last, the given example verifies the conclusion of this paper. The work in this paper will lay the foundation for the further study about the constrained LQ and non-linear control systems.

关键词: free jet, Chebyshev pseudospectral method, interfacial stability, variational principle, regular equation, parametric variable

Abstract: The regular equations on the constraint variables are established for LQ and non-linear control problems in this paper,then the extreme-value principles of con-straint variables are discussed for the equality and unequality constraint cases respec-tively. At last, the given example verifies the conclusion of this paper. The work in this paper will lay the foundation for the further study about the constrained LQ and non-linear control systems.

Key words: free jet, Chebyshev pseudospectral method, interfacial stability, variational principle, regular equation, parametric variable

邓子辰;钟万勰. THE APPLICATION OF THE VARIATIONAL PRINCIPLE IN THE CONSTRAINED CONTROL SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(6): 517-528.

Deng Zi-chen;Zhong Wan-xie. THE APPLICATION OF THE VARIATIONAL PRINCIPLE IN THE CONSTRAINED CONTROL SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(6): 517-528.

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THE APPLICATION OF THE VARIATIONAL PRINCIPLE IN THE CONSTRAINED CONTROL SYSTEM

THE APPLICATION OF THE VARIATIONAL PRINCIPLE IN THE CONSTRAINED CONTROL SYSTEM

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