| 引用本文: | 孙丞,孙鹤旭,刁心薇.一类非齐次高阶非线性系统的自适应控制设计[J].控制理论与应用,2016,33(6):816~824.[点击复制] |
| SUN Cheng,SUN He-xu,DIAO Xin-wei.Adaptive control design for a class of high order nonlinear nonhomogeneous uncertain systems[J].Control Theory and Technology,2016,33(6):816~824.[点击复制] |
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| 一类非齐次高阶非线性系统的自适应控制设计 |
| Adaptive control design for a class of high order nonlinear nonhomogeneous uncertain systems |
| 摘要点击 2470 全文点击 1838 投稿时间：2015-08-08 修订日期：2016-01-28 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2016.50671 |
| 2016,33(6):816-824 |
| 中文关键词 非线性系统 自适应系统 非齐次 未知控制系数 |
| 英文关键词 nonlinear systems adaptive systems nonhomogeneous unknown control coefficients |
| 基金项目 国家自然科学基金项目(61203142)资助. |
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| 中文摘要 |
| 本文讨论了一类具有未知参数的非齐次高阶非线性系统的全局强稳定自适应控制器的设计问题, 定义了
一个时变未知参数和一列非齐次辅助函数, 通过增加辅助函数的积分项的方法并结合自适应控制技术, 放宽了目前
已有结论中对非线性项的限制, 给出了使系统全局强稳定的连续自适应控制器存在的一个充分条件, 给出了它的自
适应状态反馈控制器的递推设计方法, 并通过一个例子验证了文章的理论结果. |
| 英文摘要 |
| This paper discusses the problem of the globally strongly stablilizing adaptive controller design for a class of
nonhomogeneous high order nonlinear systems with unknow parameters, by defining an unknown parameter which need
dynamic updating and a series of nonhomogeneous auxiliary functions, also by using the method of adding an integrator
of the nonhomogeneous auxiliary function merging with adaptive technique, the restriction on the nonlinearities of existing
results is relaxed and the sufficient conditions for the existence of continuous adaptive controller which guarantees the
systems are globally strongly stable is given. A recursive design procedure is provided to achieve continuous adaptive state
feedback control law. Finally, a simulation example is provided to illustrate the correctness of the theoretical results. |