引用本文:于占东, 王庆超.一类非线性系统的微分平滑反步自适应输出反馈控制[J].控制理论与应用,2005,22(5):687~693.[点击复制]
YU Zhan-dong,WANG Qing-chao.Differential flatness adaptive backstepping output feedback control for a class of nonlinear systems[J].Control Theory and Technology,2005,22(5):687~693.[点击复制]
一类非线性系统的微分平滑反步自适应输出反馈控制
Differential flatness adaptive backstepping output feedback control for a class of nonlinear systems
摘要点击 1701  全文点击 1510  投稿时间:2003-11-12  修订日期:2004-12-02
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DOI编号  10.7641/j.issn.1000-8152.2005.5.003
  2005,22(5):687-693
中文关键词  非线性系统  反步递推  微分平滑算法  输出反馈  不确定性
英文关键词  nonlinear system  backstepping  differential flatness algorithm  output feedback  uncertainty
基金项目  国家自然科学基金资助项目(60274002)
作者单位
于占东, 王庆超 哈尔滨工业大学 航天学院,黑龙江 哈尔滨150001 
中文摘要
      研究了一类含不确定参数且存在未知扰动的严反馈非线性系统输出反馈控制问题,设计了一种新型的反步递推(Backstepping)自适应控制器.为实现输出反馈,设计过程引入了虚拟的全维状态观测器.由于Backstepping的虚拟控制量与未知参数逼近值及其高阶导数有关,为此通过微分平滑算法对原系统进行相应的动态扩展.在稳定性分析中,利用Lyapunov定理,得到了系统全局一致有界稳定的条件,并求出系统的稳态跟踪误差.最后给出的仿真算例验证了本文方法的有效性和可行性.
英文摘要
      A novel adaptive backstepping output feedback control approach is presented for a class of strict-feedback nonlinear systems with uncertain parameters and unknown disturbances.In order to realize the output feedback control,the virtual full-dimensions state observer is introduced in the design.Given the fact that the virtual controllers in backstepping procedure are the functions of the parameter estimates and their higher derivatives,the differential flatness algorithm is used to expand the dynamics of original systems.In the stability analysis,based on the Lyapunov theory,some conditions are derived for global uniform ultimate boundedness of systems,while the stable tracking error is provided.Finally,the simulation example is given to demonstrate the feasibility and effectiveness of the proposed method.