Stability analysis for a second-order continuous finite-time control system subject to a disturbance
Stability analysis for a second-order continuous finite-time control system subject to a disturbance
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DOI：
10.1007/s11768-009-8015-4
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发表时间：
2009-08
期刊：
影响因子：
--
通讯作者：
Shihong Ding;Shihua Li;Qi Li
中科院分区：
文献类型：
--
作者：
Shihong Ding;Shihua Li;Qi Li
本文利用有限时间控制方法，研究了一类具有未知但有界扰动的二阶系统的扰动分析。我们证明了二阶系统的状态将稳定到包含原点的区域。该区域的半径由控制参数确定，并且可以根据需要进行渲染。并给出了严格的稳定性分析。与常规PD控制律相比，有限时间控制律具有更好的抗扰性能。数值仿真结果表明了该方法的有效性。
In this paper, using finite-time control method, we consider the disturbance analysis of a second-order system with unknown but bounded disturbance. We show that the states of the second-order system will be stabilized to a region containing the origin. The radius of this region is determined by the control parameters and can be rendered as small as desired. The rigorous stability analysis is also given. Compared with the conventional PD control law, the finite-time control law yields a better disturbance rejection performance. Numerical simulation results show the effectiveness of the method.