STABILIZATION OF HOMOGENEOUS SYSTEMS USING IMPLICIT CONTROL LYAPUNOV FUNCTIONS

STABILIZATION OF HOMOGENEOUS SYSTEMS USING IMPLICIT CONTROL LYAPUNOV FUNCTIONS
复制标题

DOI：
10.3182/20070822-3-za-2920.00185
复制
发表时间：
2007
期刊：
IFAC Proceedings Volumes
影响因子：
--
通讯作者：
Hisakazu Nakamura;Nami Nakamura;H. Nishitani
Hisakazu Nakamura;Nami Nakamura;H. Nishitani
中科院分区：
其他
文献类型：
--
作者：
Hisakazu Nakamura;Nami Nakamura;H. Nishitani

文献摘要

被引文献

相似文献

摘要研究了具有伸缩项的齐次系统的隐式李雅普诺夫函数镇定问题。本文定义了隐式齐次李雅普诺夫函数和隐式齐次控制李雅普诺夫函数。提出了一种隐式齐次控制李雅普诺夫函数的设计方法和基于该函数的控制器设计方法。最后通过计算机仿真验证了该方法的有效性。
Abstract This paper focuses on the problem of stabilization of homogeneous systems with dilations using implicit Lyapunov functions. In this paper, we define implicit homogeneous Lyapunov functions and implicit homogeneous control Lyapunov functions. Moreover, we proposed a design method of implicit homogeneous control Lyapunov functions and a controller design method based on the functions. Finally, we confirmed the effectiveness of the proposed method by computer simulation.