Output feedback boundary control of an axially moving system with input saturation constraint.
Output feedback boundary control of an axially moving system with input saturation constraint.
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DOI：
10.1016/j.isatra.2017.02.009
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发表时间：
2017-05
期刊：
影响因子：
7.3
通讯作者：
Zhijia Zhao;Yu Liu;Fei Luo
中科院分区：
文献类型：
--
作者：
Zhijia Zhao;Yu Liu;Fei Luo
本文关注的是受输入饱和约束的高加/减速度轴向移动带系统的边界控制。带系统的动力学由非齐次双曲偏微分方程与常微分方程耦合来表示。首先，状态反馈边界控制是针对带系统边界状态可测量的情况而设计的。随后，当某些系统状态无法准确获得时，发展了输出反馈边界控制。闭环系统的适定性和一致有界稳定性是通过严格的数学分析实现的。此外，利用高增益观测器来估计那些不可测的状态，引入辅助系统来消除输入饱和的约束影响，并采用扰动观测器来应对未知的边界扰动。最后通过数值模拟说明了皮带系统的控制性能。
This paper is concerned with boundary control for an axially moving belt system with high acceleration/deceleration subject to the input saturation constraint. The dynamics of belt system is expressed by a nonhomogeneous hyperbolic partial differential equation coupled with an ordinary differential equation. First, state feedback boundary control is designed for the case that the boundary states of the belt system can be measured. Subsequently, output feedback boundary control is developed when some of the system states can not be accurately obtained. The well-posedness and the uniformly bounded stability of the closed-loop system are achieved through rigorous mathematical analysis. In addition, high-gain observers are utilized to estimate those unmeasurable states, the auxiliary system is introduced to eliminate the constraint effects of the input saturation, and the disturbance observer is adopted to cope with unknown boundary disturbance. Finally, the control performance of the belt system is illustrated by carrying out numerical simulations.