The Application of the Control Lyapunov Function to Stabilization Designs

YE Hua-Wen; DAI Guan-Zhong; WANG Hong

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The Application of the Control Lyapunov Function to Stabilization Designs

机译：控制李雅普诺夫函数在稳定设计中的应用

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摘要

The notion of control Lyapunov functions(CLF) , originated from relaxed controls, is newly understood as the characterization of zero-state detectability property, thus the difference between the Sontag-type control and the passivity-based controller is clarified accordingly. Then, based on a CLF under appropriate conditions, a Sontag-type stabilizer is designed for a class of typical cascaded systems which have ever been stabilized by passivity-based controllers. Furthermore, based on an input-to-state stable CLF under appropriate conditions, a Sontag-type input-to-state stabilizer is designed for this kind of cascaded systems with perturbation.

机译：源自松弛控件的控件Lyapunov函数（CLF）的概念最近被理解为零状态可检测性的表征，因此相应地阐明了Sontag型控件和基于无源控件的区别。然后，基于CLF在适当的条件下，为一类典型的级联系统设计了Sontag型稳定器，该类级联系统曾经被基于被动性的控制器所稳定。此外，基于在适当条件下的输入到状态稳定CLF，为这种具有扰动的级联系统设计了Sontag型输入到状态稳定器。

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来源
《Acta Automatica Sinica》 |2004年第3期|p.430-435|共6页
作者
YE Hua-Wen; DAI Guan-Zhong; WANG Hong;
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作者单位

Department of Automatic Control, Northwestern Polytechnical University, Xi'an 710072;

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原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
关键词
control lyapunov functions; zero-state detectability; passivity; input-to-state stabili-zation;

机译：控制lyapunov函数;零状态可检测性;无源性;输入到状态稳定;

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1. A NEW STABILIZING CONTROL LAW WITH RESPECT TO A CONTROL LYAPUNOV FUNCTION AND CONSTRUCTION OF CONTROL LYAPUNOV FUNCTION FOR PARTICULAR NONAFFINE NONLINEAR SYSTEMS [J] . A. SHAHMANSOORIAN, B. MOSHIRI, A. KHAKI SEDIGH, Journal of Dynamical and Control Systems . 2007,第4期

机译：关于控制李波夫诺夫函数的一种新的稳定控制律和特殊的诺法芬非线性系统的控制李波夫诺夫函数的构造
2. A New Stabilizing Control Law with Respect to a Control Lyapunov Function and Construction of Control Lyapunov Function for Particular Nonaffine Nonlinear Systems [J] . A. Shahmansoorian, B. Moshiri, A. Khaki Sedigh, Journal of Dynamical and Control Systems . 2007,第4期

机译：一类特殊仿射非线性系统关于控制Lyapunov函数的新稳定控制律和控制Lyapunov函数的构造
3. Design of stabilizing switching control laws for discrete- and continuous-time linear systems using piecewise-linear Lyapunov functions [J] . Koutsoukos XD., Antsaklis PJ. International Journal of Control . 2002,第12期

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4. Application of control Lyapunov functions technique for partial stabilization [C] . Zuyev, A.L. . 2001

机译：控制李雅普诺夫函数技术在局部稳定中的应用
5. Energy shaping of mechanical systems via control Lyapunov functions with applications to bipedal locomotion [D] . Sinnet, Ryan Wesley. 2015

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6. LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LURE IN AUTOMATIC CONTROL [O] . R. E. Kalman 1963

机译：LURE自动控制问题的LYAPUNOV函数
7. Stabilizing Controller Design for a Special Class of PWA Systems using Discontinuous Piecewise Quadratic Lyapunov Functions [O] . Hesam Sajjadi, Reyhaneh Kardehi Moghaddam, Najmeh Eghbal 2015

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The Application of the Control Lyapunov Function to Stabilization Designs

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