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首页> 外文期刊>IEEE Transactions on Automatic Control >Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays
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Adaptive Dynamic Surface Control for Stabilization of Parametric Strict-Feedback Nonlinear Systems With Unknown Time Delays

机译:具有未知时滞的参数化严格反馈非线性系统的自适应动态表面控制

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摘要

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.
机译:提出了一种基于动态表面控制(DSC)的鲁棒稳定方法,用于不确定时滞未知的不确定非线性系统的参数严格反馈形式。也就是说,DSC技术已扩展到具有线性参数不确定性的状态时滞非线性系统。通过选择合适的Lyapunov-Krasovskii函数,所提出的控制系统不仅可以克服反步设计方法固有的“复杂性爆炸”问题,而且可以克服未知时延的不确定性。此外,我们证明了闭环系统中的所有信号都是半全局一致有界的。最后,提供一个示例来说明所提出的控制系统的有效性。

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