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山东大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (5): 20-28.doi: 10.6040/j.issn.1672-3961.0.2014.035

• 控制科学与工程 • 上一篇    下一篇

具有执行器饱和耗散Hamilton系统的镇定分析

贾丹丹, 魏爱荣   

  1. 山东大学控制科学与工程学院, 山东 济南 250061
  • 收稿日期:2014-01-21 修回日期:2014-06-30 发布日期:2014-01-21
  • 通讯作者: 魏爱荣(1972-), 女, 山东菏泽人, 博士, 副教授, 硕导, 主要研究方向为Hamilton控制系统, 非线性受限系统控制, 多智能体系统, 电力系统基于能量控制.E-mail:weiairong@sdu.edu.cn E-mail:weiairong@sdu.edu.cn
  • 作者简介:贾丹丹(1990-), 女, 山东菏泽人, 硕士研究生, 主要研究方向为时滞饱和Hamilton系统的镇定性.E-mail:jiandan1990@163.com
  • 基金资助:
    国家自然科学基金资助项目(G61174036,61034007,G61374065);山东省泰山学者专项资助项目

Stabilization analysis for dissipative hamilton control systems with actuator saturation

JIA Dandan, WEI Airong   

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2014-01-21 Revised:2014-06-30 Published:2014-01-21

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摘要： 研究了具有执行器饱和耗散Hamilton控制系统的有限增益镇定问题。饱和现象大大影响控制系统的稳定性和动态性能,严重影响系统的工作性能,利用饱和静态输出反馈使系统达到全局渐近稳定。对系统中的非线性函数做进一步演变, 实现闭环系统的有限L2增益输入输出镇定,并获得增益估计值。把结果应用在励磁—汽门开度饱和的单机无穷大电力系统中,例子的分析与仿真验证了方法的有效性。

关键词: 执行器饱和, 励磁-汽门开度控制, Hamilton系统, 有限增益, Lyapunov稳定性, 输出反馈

Abstract: The finite gain stabilization of the dissipative Hamilton systems with actuator saturation was investigated. The stability and dynamic performance of the system were seriously influenced by saturation. The globally asymptotical stabilization of a closed-loop system was received with the static output feedback. Then, under the evolution of nonlinear functions of the system, the L2 gain stabilization of the closed-loop system was received, while the estimated value of gain was obtained. The results were applied to the system with excitation and steam-valving control. The example was given to illustrate the efficiency of the proposed method.

Key words: output feedback, hamilton systems, Lyapunov stability, limited gain, excitation and steam-valving control, actuator saturation

中图分类号: 

  • TP273
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[2] 王飞飞1,闫雪华2*,刘允刚3. 一类控制系数未知非线性参数化系统的
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[4] 马世敏,王玉振. 一类广义Hamilton系统的有限时间稳定性及其在仿射非线性系统控制设计中的应用[J]. 山东大学学报(工学版), 2011, 41(2): 119-125.
[5] 尚芳 刘允刚 张承慧. 一类不确定非线性系统输出反馈扰动抑制[J]. 山东大学学报(工学版), 2010, 40(1): 19-27.
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[8] 孙宗耀,刘允刚 . 一类2维不确定非线性系统自适应输出反馈镇定[J]. 山东大学学报(工学版), 2007, 37(5): 34-39 .
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[10] 李艳芳,刘允刚 . 一类参数不确定系统的输出反馈自适应镇定[J]. 山东大学学报(工学版), 2006, 36(6): 76-81 .
[11] 魏爱荣,赵克友, . 扩大饱和不确定系统吸引域的线性矩阵不等式方法不等式方法[J]. 山东大学学报(工学版), 2006, 36(3): 30-33 .
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