受约束控制系统中变分原理的应用*
The Application of the Variational Principle in the Constrained Control System
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摘要: 本文分别对LQ控制问题及非线性控制问题建立了约束变量的正则方程,进而讨论了等式约束和不等式约束时约束变量的极值原理,最后通过例题验证了本文所得到的结论。本文工作为受约束LQ控制系统及非线性控制系统的深入研究打下了基础。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 unequalitp constraint cases respectively.At lasi,the given ecample verifies the conclusion of this paper, The work in this paper will lay the foundation for the furthe study about the constrained LQ and nonlinear control spstems.
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Key words:
- variational principle /
- regular equation /
- paramatric variable
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