Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays
Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays
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DOI：
10.1109/tac.2007.910715
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发表时间：
2007-12
影响因子：
6.8
通讯作者：
S. Yoo;Jin Bae Park;Y. Choi
中科院分区：
文献类型：
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作者：
S. Yoo;Jin Bae Park;Y. Choi
针对具有未知时滞的参数严格反馈形式的不确定非线性系统，提出了一种基于动态面控制（DSC）的鲁棒镇定方法。也就是说，将DSC技术扩展到具有线性参数不确定性的状态时滞非线性系统。所提出的控制系统不仅能够克服反推设计方法中固有的“复杂性爆炸”问题，而且通过选择合适的李雅普诺夫 - 克拉索夫斯基泛函，还能克服未知时滞的不确定性。此外，我们证明了闭环系统中的所有信号是半全局一致有界的。最后，通过一个例子说明了所提出控制系统的有效性。
The robust stabilization method via the dynamic surface control (DSC) is proposed for uncertain nonlinear systems with unknown time delays in parametric strict-feedback form. That is, the DSC technique is extended to state time delay nonlinear systems with linear parametric uncertainties. The proposed control system can overcome not only the problem of ldquoexplosion of complexityrdquo inherent in the backstepping design method but also the uncertainties of the unknown time delays by choosing appropriate Lyapunov-Krasovskii functionals. In addition, we prove that all the signals in the closed-loop system are semiglobally uniformly bounded. Finally, an example is provided to illustrate the effectiveness of the proposed control system.