| 严格反馈非线性系统中参数收敛的系统化方法 |
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| 引用本文： | 贺冰丽,李俊民. 严格反馈非线性系统中参数收敛的系统化方法[J]. 系统科学与数学, 2011, 31(5) |
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| 作者姓名： | 贺冰丽 李俊民 |
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| 作者单位： | 西安电子科技大学理学院,西安,710071 |
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| 基金项目： | 国家自然科学基金(60974139); 中央高校基本科研业务费专项资金(72103676)资助 |
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| 摘 要： | 研究严格反馈非线性系统中参数的收敛性.在适当的持续激励条件下,通过构造一个显式、全局的强Lyapunov函数,给出了系统参数估计收敛于真值的充分条件,且闭环信号全局一致有界,跟踪误差渐近收敛于零.仿真算例验证了设计方案的可行性和有效性.
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| 关 键 词： | 自适应控制 强Lyapunov函数 严格反馈非线性系统 参数收敛. |
SYSTEMATIC METHOD OF PARAMETER CONVERGENCE IN STRICT-FEEDBACK NONLINEAR SYSTEMS |
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| HE Bingli,LI Junmin. SYSTEMATIC METHOD OF PARAMETER CONVERGENCE IN STRICT-FEEDBACK NONLINEAR SYSTEMS[J]. Journal of Systems Science and Mathematical Sciences, 2011, 31(5) |
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| Authors: | HE Bingli LI Junmin |
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| Affiliation: | HE Bingli LI Junmin (School of Science,Xidian University,Xi'an 710071) |
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| Abstract: | This paper considers the parameter convergence properties of strict-feedback nonlinear systems.Under an appropriate persistency of excitation condition,by constructing an explicit,global,strong Lyapunov function,a sufficient condition concerning the parameter convergence properties is given,and all the closed-loop signals are globally uniformly bounded,the tracking error converges to zero asymptotically.The feasibility and effectiveness of the proposed method is illustrated with a simulation example. |
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| Keywords: | Adaptive control strong Lyapunov functions strict-feedback nonlinear systems parameter convergence |
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