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The application of the variational principle in the constrained control system

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Abstract

The regular equations on the constraint variables are established for LQ and nonlinear control problems in this paper, then the extreme-value principles of the constraint variables are discussed for the equality and unequality constraint cases respectively. 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 nonlinear control systems.

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Authors and Affiliations

  1. Northwestern Polytechnical University, Xi'an

    Deng Zi-chen

  2. Dalian University of Technology, Dalian

    Zhong Wan-xie

Authors
  1. Deng Zi-chen
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  2. Zhong Wan-xie
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Project supported by the National Natural Science Foundation of China

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Zi-chen, D., Wan-xie, Z. The application of the variational principle in the constrained control system. Appl Math Mech 15, 517–523 (1994). https://doi.org/10.1007/BF02450764

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  • DOI: https://doi.org/10.1007/BF02450764

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