论文标题
最近的邻居控制，用于实用的被动非线性系统的实际稳定
Nearest Neighbor Control For Practical Stabilization of Passive Nonlinear Systems
论文作者
论文摘要
本文研究了连续时间（逐步）被动非线性系统的静态输出反馈稳定，其中只能从离散（可能是有限的）点组中选择控制动作。为此，我们正在假设所考虑的系统是可观察到的大型标准的假设，并且可实现的控制动作的凸壳包含目标常数输入（与平衡点相对应）。我们建议从输出空间到有限的控制动作集的基于最近的静态反馈映射，该映射实际上能够稳定闭环系统。因此，我们表明，对于具有$ M $二维输入空间的此类系统，足以具有$ M+1 $ $离散输入点（对于一般无源系统而言，除了零以外，或者对于增量被动系统的目标恒定输入）。此外，我们提出了一种建设性算法，以设计此类$ M+1 $非零输入点，该点使用我们建议的最近的邻居控制来满足实用稳定性的条件。
This paper studies static output feedback stabilization of continuous-time (incrementally) passive nonlinear systems where the control actions can only be chosen from a discrete (and possibly finite) set of points. For this purpose, we are working under the assumption that the system under consideration is large-time norm observable and the convex hull of the realizable control actions contains the target constant input (which corresponds to the equilibrium point) in its interior. We propose a nearest-neighbor based static feedback mapping from the output space to the finite set of control actions, that is able to practically stabilize the closed-loop systems. Consequently, we show that for such systems with $m$-dimensional input space, it is sufficient to have $m+1$ discrete input points (other than zero for general passive systems or the target constant input for incrementally passive systems). Furthermore, we present a constructive algorithm to design such $m+1$ nonzero input points that satisfy the conditions for practical stability using our proposed nearest-neighbor control.
