Higher order adaptive sliding mode control for a class of SISO systems
Higher order adaptive sliding mode control for a class of SISO systems
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DOI：
10.1109/cdc.2009.5399557
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发表时间：
2009-12
期刊：
影响因子：
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通讯作者：
Q. Zong;Zhanshan Zhao;Liqian Dou
中科院分区：
文献类型：
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作者：
Q. Zong;Zhanshan Zhao;Liqian Dou
针对一类不确定非线性系统，提出了一种基于自校正律的高阶滑模控制算法。该问题可以看作是一类具有未知但有界不确定性的高阶动态系统的有限时间镇定问题。基于几何均匀性和滑模控制，提出了一种无需高频切换的自适应整定方法。所提出的方法的稳定性证明，通过使用李雅普诺夫理论和保证鲁棒性对不确定性。不确定度的上界不需要事先知道。一个说明性的例子证明了该策略的优点。
A higher order sliding mode control with Self-tuning Law algorithm is proposed for a class of uncertain nonlinear systems. This problem can be viewed as the finite time stabilization of a higher order dynamic system with unknown but bounded system uncertainties. An adaptation tuning approach without high frequency switching is developed based on geometric homogeneity and sliding mode control. The stability of proposed procedure is proven by using the Lyapunov theory and guarantees robustness against uncertainties. The upper bounds of uncertainties are not required to be known in advance. An illustrative example demonstrates the advantages of the strategy.