| 一类混沌系统的输入状态稳定控制器设计 |
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| 引用本文： | 范永青,刘瑾.一类混沌系统的输入状态稳定控制器设计[J].西安邮电学院学报,2014,19(6):86-91. |
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| 作者姓名： | 范永青 刘瑾 |
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| 作者单位： | 西安邮电大学自动化学院,陕西西安,710121 |
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| 基金项目： | 国家自然科学基金资助项目，陕西省教育厅科学研究计划资助项目，西安邮电大学青年教师科研基金资助项目 |
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| 摘 要： | 针对一类混沌系统中平衡点不稳定的问题,提出一种新型自适应控制器的设计方法。该方法基于输入到状态稳定性理论及小增益定理,采用线性反馈控制与非线性自适应控制相结合的设计思想,在所设计线性反馈增益满足一定取值条件,且非线性控制器部分中的参数满足所设计的自适应律时,使得一类混沌系统的所有平衡点快速实现全局渐进稳定。算例数值仿真验证了该设计方法的有效性。
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| 关 键 词： | 混沌系统 自适应控制 输入状态稳定 全局渐进稳定 |
Stabilization control design of input-to-state stability for a class of chaotic systems |
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| FAN Yongqing,LIU Jin.Stabilization control design of input-to-state stability for a class of chaotic systems[J].Journal of Xi'an Institute of Posts and Telecommunications,2014,19(6):86-91. |
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| Authors: | FAN Yongqing LIU Jin |
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| Affiliation: | (School of Automation, Xian University of Posts and Telecommunications, Xi＇an 710121, China) |
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| Abstract: | A new adaptive controller method is proposed for unstable equilibria of a class of chaotic systems.The method is designed by using linear feedback control combining with nonlinear adaptive control,and based on input-to-state stability and small-gain theorem.When the linear feedback control gain is satisfied at certain condition,and some parameters in the nonlinear control are satisfied with adaptive laws,the all equilibria are globally asymptotically stable by employing the proposed controller.The design and analysis are validated by numerical simulation. |
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| Keywords: | chaotic system adaptive control ISS (Input-to-state stability) globally asymptotically stability |
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