Sliding Mode Observer Based-Controller Design for Nonlinear Systems with Time Varying Delay
Sliding Mode Observer Based-Controller Design for Nonlinear Systems with Time Varying Delay
复制标题
基于滑模观测器的时变非线性系统控制器设计
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Y. Orlov
中科院分区：
文献类型：
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作者：
Xing;S. Spurgeon;Y. Orlov
本章研究一类具有时滞不确定性的非线性时变时滞系统。系统输入分布矩阵的项可以是输出和时间的非线性函数。在不确定性的轻微限制下，使用滑模技术合成观测器，使得误差动态在存在不确定性和时间延迟的情况下最终均匀有界。然后，利用Lyapunov-Razumikhin方法，提出了一种基于估计状态的非线性控制方案，并给出了相应闭环系统最终一致有界的充分条件。不确定度的结构并不一定要已知。最后给出了一个数值算例，仿真结果表明了该方法的有效性。
A class of nonlinear time varying delay systems in the presence of time delay uncertainties is considered in this chapter. The entries of the system input distribution matrix may be nonlinear functions of the outputs and time. Under mild limitations on the uncertainty, an observer is synthesised using sliding mode techniques such that the error dynamics are ultimately uniformly bounded in the presence of uncertainties and time delay. Then, a nonlinear control scheme is developed based on the estimated states, and a set of sufficient conditions is presented such that the corresponding closed-loop systems are uniformly ultimately bounded, using the well-known Lyapunov-Razumikhin approach. It is not required that the structure of the uncertainty be known. Finally, a numerical example is presented to demonstrate the approach and simulation results show the effectiveness of the developed paradigm.
DOI：
10.1016/j.automatica.2010.05.017
发表时间：
2010
期刊：
Autom.
影响因子：
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作者：
Xing-gang Yan;S. Spurgeon;C. Edwards
通讯作者：
Xing-gang Yan;S. Spurgeon;C. Edwards