Lyapunov-stable adaptive stabilization of non-linear time-varying systems with matched uncertainty

Hoagg JB; Bernstein DS

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Lyapunov-stable adaptive stabilization of non-linear time-varying systems with matched uncertainty

机译：具有匹配不确定性的非线性时变系统的Lyapunov稳定自适应镇定

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This paper considers direct adaptive stabilization of multi-input non-linear time-varying systems with full-state feedback and state-and-time-dependent uncertainty. The novel result of this paper is a single-parameter adaptive controller that yields a Lyapunov-stable closed-loop system. We demonstrate the controller on a non-linear spring-mass-damper, a three-degree-of-freedom Mathieu equation, and a 4th-order non-linear time-varying system.

机译：本文考虑具有全状态反馈和状态和时间相关不确定性的多输入非线性时变系统的直接自适应稳定。本文的新颖结果是产生了Lyapunov稳定闭环系统的单参数自适应控制器。我们在非线性弹簧质量阻尼器，三自由度Mathieu方程和4阶非线性时变系统上演示了控制器。

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《International Journal of Control》 |2007年第6期|共13页
作者
Hoagg JB; Bernstein DS;
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正文语种 eng
中图分类控制论、信息论（数学理论）;
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MATRIX;

机译：矩阵;

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1. Lyapunov-stable adaptive stabilization of non-linear time-varying systems with matched uncertainty [J] . Hoagg JB, Bernstein DS International Journal of Control . 2007,第6期

机译：具有匹配不确定性的非线性时变系统的Lyapunov稳定自适应镇定
2. Adaptive Sliding Mode Control For A Class Of Non-linear Discrete-time Systems With Mismatched Time-varying Uncertainty [J] . Toshio Yoshimura International Journal of Modelling, Identification and Control . 2008,第3期

机译：一类时变不确定匹配的非线性离散系统的自适应滑模控制
3. Adaptive robust stabilization of a class of uncertain non-linear systems with mismatched time-varying parameters [J] . M M Arefi, M R Jahed-Motlagh Proceedings of the Institution of Mechanical Engineers . 2012,第2期

机译：一类时变参数不匹配的不确定非线性系统的自适应鲁棒镇定
4. Lyapunov-Stable Adaptive Stabilization of Nonlinear Systems with Matched Uncertainty [C] . Jesse B. Hoagg, Dennis S. Bernstein American Control Conference . 2005

机译：Lyapunov - 稳定的非线性系统自适应稳定性，具有匹配不确定性的非线性系统
5. Stabilization, observation, tracking and disturbance rejection for uncertain/nonlinear and time-varying systems. [D] . Acikmese, Ahmet Behcet. 2002

机译：不确定/非线性和时变系统的稳定，观测，跟踪和干扰抑制。
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Lyapunov-stable adaptive stabilization of non-linear time-varying systems with matched uncertainty

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