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Output Tracking via Adaptive Backstepping Higher Order Integral Sliding Mode for Uncertain Nonlinear Systems

机译:不确定非线性系统的自适应BackStepping高阶积分滑动输出跟踪

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摘要

The authors propose a new tracking control design strategy for uncertain non-linear systems which are convertible to Semi-Strict FeedbackForm (SSFF). The system in SSFF is first converted into new variables via existing adaptive backstepping control techniques. The control law is obtainedby combining adaptive backstepping procedure and higher order integral sliding mode. The component of control law designed via backstepping is continuouswhich shows robustness against parametric uncertainties where as the discontinuous control component provides robustness against unmodeled dynamics and external disturbances. Since, this strategy relies on an integral manifold of the adaptively developed variables, therefore, the reaching phase is eliminated in this approach, which is an advantage in term of robustness. Furthermore, the parameters update law correctly provides the estimation of parameters whichis again results in enhanced robustness of the strategy. The stability of proposed method is analysed theoretically and validated through a numerical example.
机译:作者提出了一种新的跟踪控制设计策略,用于不确定的非线性系统,可转换为半严格的馈电(SSFF)。 SSFF中的系统首先通过现有的自适应BackStepping控制技术转换为新的变量。基于适应性反向程序和高阶整体滑动模式,获得了控制定律。通过BackStepping设计的控制法的组成部分是连续的,显示了对参数不确定性的鲁棒性,其中不连续控制组件提供针对未拼件的动态和外部干扰的鲁棒性。由于,该策略依赖于自适应开发的变量的整体歧管,因此,以这种方法消除了到达阶段,这是鲁棒性期限的优点。此外,参数更新法正确地提供了再次导致策略的增强的鲁棒性的参数估计。理论上,通过数值示例进行理论上分析所提出的方法的稳定性。

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