输入饱和下的非线性积分系统的全局有限时间镇定

丁世宏; 李世

doi:10.3724/SP.J.1004.2011.01222

输入饱和下的非线性积分系统的全局有限时间镇定

doi: 10.3724/SP.J.1004.2011.01222

丁世宏^1, ,,
李世²

1.
江苏大学电气信息工程学院镇江 212013;
2.
东南大学自动化学院南京 210096

详细信息

通讯作者:
丁世宏江苏大学电气信息工程学院讲师. 主要研究方向为非线性系统控制和飞行器姿态控制. E-mail: dsh@ujs.edu.cn

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出版历程
- 收稿日期: 2010-07-07
- 修回日期: 2011-03-19
- 刊出日期: 2011-10-20

Global Finite-time Stabilization of Nonlinear Integrator Systems Subject to Input Saturation

DING Shi-Hong^{1
, ,},
LI Shi-Hua²

1.
School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013;
2.
School of Automation, Southeast University, Nanjing 210096

摘要

摘要: 针对一类非线性积分系统, 利用有限时间控制技术, 提出了一种输入饱和情况下的全局有限时间控制方案. 首先, 基于有限时间 Lyapunov 稳定性理论, 设计镇定系统的全局有限时间递归控制器. 然后,将该递归控制器与饱和函数结合得到饱和控制器. 数学上严格证明了在该饱和控制器的作用下, 闭环系统满足全局有限时间稳定性. 仿真结果验证了该方法的有效性.
- 非线性系统 /
- 有限时间镇定 /
- 饱和控制 /
- 积分系统
Abstract: By utilizing finite-time control technique, a global finite-time control scheme is proposed for a class of nonlinear integrator systems subject to input saturation. First of all, based on finite-time Lyapunov stability theory, a global finite-time recursive stabilizing controller is presented. Then by combining the saturated function with the recursive controller, a saturated controller is developed. Rigorous mathematical proof shows that under the saturated controller, the closed loop system is globally finite-time stable. Simulation results verify the effectiveness of the proposed method.
- Nonlinear system /
- finite-time stabilization /
- saturated control /
- integrator system

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参考文献(1)

[1]

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