| 输入饱和下的非线性积分系统的全局有限时间镇定 |
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| 引用本文： | 丁世宏,李世.输入饱和下的非线性积分系统的全局有限时间镇定[J].自动化学报,2011,37(10):1222-1231. |
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| 作者姓名： | 丁世宏 李世 |
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| 作者单位： | 1.江苏大学电气信息工程学院 镇江 212013; |
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| 基金项目： | 国家自然科学基金(61074013); 教育部博士点基金项目(20090092110022); 江苏高校优势学科建设工程资助项目; 江苏大学高级专业人才科研启动基金(10JDG112); 江苏省自然科学基金(SBK201123307)资助~~ |
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| 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.
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| 关 键 词： | 非线性系统 有限时间镇定 饱和控制 积分系统 |
| 收稿时间： | 2010-7-7 |
| 修稿时间： | 2011-3-19 |
Global Finite-time Stabilization of Nonlinear Integrator Systems Subject to Input Saturation |
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| DING Shi-Hong,LI Shi-Hua.Global Finite-time Stabilization of Nonlinear Integrator Systems Subject to Input Saturation[J].Acta Automatica Sinica,2011,37(10):1222-1231. |
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| Authors: | DING Shi-Hong LI Shi-Hua |
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| Affiliation: | 1.School of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013;2.School of Automation, Southeast University, Nanjing 210096 |
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| 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. |
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| Keywords: | Nonlinear system finite-time stabilization saturated control integrator system |
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