Memoryless Static Output Feedback Sliding Mode Control for Nonlinear Systems With Delayed Disturbances
Memoryless Static Output Feedback Sliding Mode Control for Nonlinear Systems With Delayed Disturbances
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DOI：
10.1109/tac.2013.2295662
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发表时间：
2014-07
影响因子：
6.8
通讯作者：
Xing-gang Yan;S. Spurgeon;C. Edwards
中科院分区：
文献类型：
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作者：
Xing-gang Yan;S. Spurgeon;C. Edwards
在这篇技术笔记中，研究了具有依赖于时变时滞现象的扰动的非线性系统的局部镇定问题。通过适当的变换，将系统表示为正则形式，便于设计和分析。然后，充分条件的基础上开发的Lyapunov-Razumikhin方法，使滑动运动是一致渐近或指数稳定的。一个静态输出反馈控制律，独立的时间延迟，合成，以保证滑模的可达性。在控制器设计中充分利用了扰动的可达界，以减少保守性。仿真实例表明了该方法的有效性。
In this technical note, a local stabilization problem for nonlinear systems with disturbances which are dependent on time-varying delay phenomena, is studied. An appropriate transformation is introduced to express the system in regular form which facilitates both design and analysis. Then, sufficient conditions are developed based on a Lyapunov-Razumikhin approach such that the sliding motion is uniformly asymptotically or exponentially stable. A static output feedback control law, independent of the time delay, is synthesized to guarantee reachability of the sliding mode. The accessible bounds on the disturbances are fully used in the control design to reduce the conservatism. A simulation example shows the effectiveness of the approach.