控制李雅普诺夫函数技术在部分镇定中的应用

Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204) Pub Date : 2001-09-05 DOI:10.1109/CCA.2001.973917

A. Zuyev

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引用次数: 15

摘要

研究了自主仿射控制系统的部分镇定问题。当开环系统允许Lyapunov函数具有非正导数时，证明了系统部分稳定的充分条件定理。将所提出的定理应用于求解卫星单轴稳定问题。给出了稳定反馈律的显式表达式。

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Application of control Lyapunov functions technique for partial stabilization

The problem of partial stabilization is considered for autonomous affine control systems. A theorem on sufficient condition for partial stability is proved, provided that the open-loop system admits Lyapunov function with nonpositive derivative. The theorem proposed is applied for solving a problem of single-axis stabilization of a satellite. The explicit expression of stabilizing feedback law is given.

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Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204)

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