| 引用本文: | 刘允刚.增长率为输出的未知多项式非线性系统的全局输出反馈跟踪(英文)[J].控制理论与应用,2014,31(7):921~933.[点击复制] |
| LIU Yun-gang.Global output-feedback tracking for nonlinear systems with unknown polynomial-of-output growth rate[J].Control Theory and Technology,2014,31(7):921~933.[点击复制] |
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| 增长率为输出的未知多项式非线性系统的全局输出反馈跟踪(英文) |
| Global output-feedback tracking for nonlinear systems with unknown polynomial-of-output growth rate |
| 摘要点击 2547 全文点击 1755 投稿时间：2013-12-31 修订日期：2014-04-09 |
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| DOI编号 10.7641/CTA.2014.31389 |
| 2014,31(7):921-933 |
| 中文关键词 非线性系统 增长依赖于不可测状态 输出未知多项式的增长率 全局实用跟踪 动态高增益 输出反馈 |
| 英文关键词 nonlinear systems unmeasurable states dependent growth unknown polynomial-of-output growth rate global practical tracking dynamic high-gain output-feedback |
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| 中文摘要 |
| 本文研究了一类增长线性地依赖于不可测状态非线性系统的输出反馈自适应实用跟踪问题. 很不同的是, 本文所研究系统的增长率是输出的未知多项式(系数未知、幂次已知), 且关于被跟踪参考信号的假设相当弱(仅本 身和其导数为已知的), 为解决该问题, 通过灵活采用通用控制和死区的思想和方法, 引入了带有新型动态增益的观 测器来重构不可测的系统状态, 进而构造了自适应输出反馈跟踪控制器. 可以证明, 当控制器中的设计参数适当选 取时, 闭环系统所有状态有界, 并且跟踪误差趋于事先给定的充分小的区域. 数值仿真说明了所提方法的有效性. |
| 英文摘要 |
| This paper is concerned with the adaptive practical tracking by output-feedback for a class of nonlinear systems with linearly unmeasurable states dependent growth. Quite different, the system growth rate is unknown polynomial- of-output with given powers but unknown coefficients, and the assumption on the to-be-tracked reference signal is rather weak (merely itself and its time-derivative are known). To solve the problem, by flexibly using the ideas and methods from universal control and dead zone, an observer with new dynamic high-gain is first introduced to re-construct the unmeasurable system states, and then an adaptive output-feedback tracking controller is successfully designed. It is shown that if the design parameters in controller are suitably chosen, then all the states of the closed-loop system are bounded, and furthermore, the tracking error will be prescribed sufficiently small when time is large enough. A numerical simulation is also provided to demonstrate the validity of the proposed approaches. |
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