GLOBAL STABILIZATION AND RESTRICTED TRACKING FOR MULTIPLE INTEGRATORS WITH BOUNDED CONTROLS
GLOBAL STABILIZATION AND RESTRICTED TRACKING FOR MULTIPLE INTEGRATORS WITH BOUNDED CONTROLS
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DOI：
10.1016/0167-6911(92)90001-9
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发表时间：
1992-03-01
影响因子：
2.6
通讯作者：
TEEL, AR
中科院分区：
文献类型：
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作者：
TEEL, AR
具有有界控制的线性系统全局镇定的充分必要条件是已知的。 然而，在[5]中已经表明，对于单输入系统，线性反馈的饱和不能全局稳定n阶积分器链，其中n大于或等于3。 在本文中，我们提出了一个非线性组合的饱和功能的线性反馈，全局稳定链的积分器的任意阶。 拟议控制的吸引人的特点是它相当容易构建。 它在原点附近是线性的，也可以用来实现对一类受输入绝对值限制的轨迹的轨迹跟踪。
Necessary and sufficient conditions for globally stabilizing linear systems with bounded controls are known. However, it has been shown in [5] that, for single-input systems, no saturation of a linear feedback can globally stabilize a chain of integrators of order n, with n greater-than-or-equal-to 3. In this paper, we propose a nonlinear combination of saturation functions of linear feedbacks that globally stabilizes a chain of integrators of arbitrary order. The appealing feature of the proposed control is that it is fairly easy to construct. It is linear near the origin and can also be used to achieve trajectory tracking for a class of trajectories restricted by the absolute on the input.