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A survey of applications of second-order sliding mode control to mechanical systems

机译:二阶滑模控制在机械系统中的应用综述

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The effective application of sliding mode control to mechanical systems is not straightforward because of the sensitivity of these systems to chattering. Higher-order sliding modes can counteract this phenomenon by confining the switching control to the higher derivatives of the mechanical control variable, so that the latter results are continuous. Generally, this approach requires the availability of a number of time derivatives of the sliding variable, and, in the presence of noise, this requirement could be a practical limitation. A class of second-order sliding mode controllers, guaranteeing finite-time convergence for systems with relative degree two between the sliding variable and the switching control, could be helpful both in reducing the number of differentiator stages in the controller and in dealing with unmodelled actuator dynamics. In this paper different second-order sliding mode controllers, previously presented in the literature, are shown to belong to the above cited class, and some challenging control problems involving mechanical systems are addressed and solved. Simulations and experimental results are provided throughout the paper. [References: 67]
机译:滑模控制在机械系统上的有效应用并非易事,因为这些系统对颤振非常敏感。通过将切换控制限制在机械控制变量的高阶导数上,高阶滑模可以抵消这种现象,因此后者的结果是连续的。通常,此方法要求提供滑动变量的多个时间导数,并且在存在噪声的情况下,此要求可能是实际的限制。一类二阶滑模控制器,对于滑动变量和切换控制之间具有相对二阶的系统,保证了有限时间收敛性,这对于减少控制器中的微分器级数和处理未建模的执行器都将有所帮助动力学。在本文中,先前在文献中提出的不同的二阶滑模控制器显示为属于上述类别,解决了一些涉及机械系统的具有挑战性的控制问题。全文提供了仿真和实验结果。 [参考:67]

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