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山东大学学报(工学版) ›› 2016, Vol. 46 ›› Issue (3): 79-86.doi: 10.6040/j.issn.1672-3961.0.2015.394

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输入饱和非线性切换Hamilton系统镇定与H∞控制

李晗,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:2015-12-02 出版日期:2016-06-30 发布日期:2015-12-02
  • 通讯作者: 魏爱荣(1972— ),女,山东菏泽人,副教授,硕导,博士,主要研究方向为Hamilton 控制系统, 受限非线性切换系统控制,多智能体系统. E-mail: weiairong@sdu.edu.cn E-mail:j595018526@163.com
  • 作者简介:李晗(1991— ),女,山东莱芜人,硕士研究生,主要研究方向为输入饱和非线性切换Hamilton 系统控制设计.E-mail:j595018526@163.com
  • 基金资助:
    国家自然科学基金资助项目(G61573218,G61174036)

Stabilization and H∞ control for nonlinear switched Hamiltonian systems subject to actuator saturation

LI Han, WEI Airong*   

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2015-12-02 Online:2016-06-30 Published:2015-12-02

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摘要： 研究了输入饱和非线性切换Hamilton系统在任意切换路径下镇定与H∞控制问题。设计合适的状态反馈并提出充分条件,实现输入饱和非线性切换 Hamilton 系统的镇定问题。 设计系统的 H∞控制器,进一步研究带外部干扰的输入饱和非线性切换 Hamilton 系统 H∞控制问题,在该控制器作用下,系统存在外部干扰时,γ-耗散不等式成立,无外部干扰时,闭环系统全局渐近稳定。仿真实例验证了研究方法和结果的有效性。

关键词: H∞控制, 镇定, 输入饱和, Hamilton 系统, 非线性切换

Abstract: The stabilization and H∞ control problems of nonlinear switched Hamiltonian systems(NSHSs)subject to actuator saturation under arbitrary switching paths was investigated. The stabilization of NSHSs with actuator saturation was studied by designing suitable state feedback and deriving a sufficient condition. Then, an H∞ controller was designed to realize the H∞ control of NSHSs subject to actuator saturation with external disturbances, under the designed controller, γ-dissipation inequality held for the system with external disturbances, moreover, the globally asymptotical stabilization was achieved for the corresponding closed-loop system without external disturbances. A simulation example showed that the proposed method and results were effective.

Key words: H∞ control, stabilization, Hamiltonian systems, nonlinear switched, actuator saturation

中图分类号: 

  • TP273
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