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Generalized Sliding-Mode Control for Multi-Input Nonlinear Systems

机译:多输入非线性系统的广义滑模控制

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摘要

The purpose of this paper is to present a framework for the design of sliding-mode based controllers for multi-input affine nonlinear systems. In this framework the control effort goes to zero as the state approaches the sliding surface, a key feature for practical implementation. The sliding surface is a submanifold with codimension equal to the dimension of the involutive distribution$cal G$generated by the controlled vector fields rather than the dimension of their linear span. We also allow nonzero vectors in$cal G$to be tangent to the sliding surface, the singular case in sliding-mode control.
机译:本文的目的是为多输入仿射非线性系统的滑模控制器设计提供一个框架。在此框架中,当状态接近滑动表面时,控制工作量为零,这是实际实现的关键特征。滑动表面是一个子流形,其维数等于受控向量场生成的渐开分布$ cal G $的尺寸,而不是其线性跨度的尺寸。我们还允许$ cal G $中的非零向量与滑动表面相切,这是滑动模式控制中的奇异情况。

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