计算机应用 ›› 2013, Vol. 33 ›› Issue (08): 2397-2400.

• 典型应用 • 上一篇    

基于趋近律方法的Delta算子滑模变结构控制系统

刘云龙1,2,韩星海1,唐述宏1,2   

  1. 1. 潍坊学院 信息与控制工程学院,山东 潍坊 261061;
    2. 潍坊学院节能研究院,山东 潍坊 261061
  • 收稿日期:2013-02-04 修回日期:2013-03-06 出版日期:2013-08-01 发布日期:2013-09-11
  • 通讯作者: 刘云龙
  • 作者简介:刘云龙(1982-),男,山东日照人,讲师,博士,主要研究方向:变结构控制、Delta算子系统;
    韩星海(1972-),男,山东潍坊人,讲师,硕士,主要研究方向:计算机控制;
    唐述宏(1966-),男,山东潍坊人,教授,博士,主要研究方向:变结构控制、计算机控制。
  • 基金资助:
    国家自然科学基金资助项目;山东省自然科学基金资助项目;潍坊学院博士科研基金资助项目

Delta operator sliding mode variable structure control system based on reaching law method

LIU Yunlong1,2,HAN Haixing2,TANG shuhong1,2   

  1. 1. Academy of Energy Saving at Weifang University, Weifang Shandong 261061, China
    2. College of Information and Control Engineering, Weifang University, Weifang Shandong 261061, China
  • Received:2013-02-04 Revised:2013-03-06 Online:2013-09-11 Published:2013-08-01
  • Contact: LIU Yunlong

摘要: 针对高速信号不确定滑模变结构控制系统的抖振问题,提出一种基于Delta算子离散化方法的不确定Delta算子系统的滑模变结构控制器。基于反正切函数给出了一种改进的Delta算子离散趋近律,将系统的不确定部分用其上、下确界代替,然后设计滑模变结构控制律。仿真结果表明了该方法的可行性和有效性,对内部参数摄动和外部干扰具有良好的完全鲁棒性。因此,基于该趋近律方法设计的滑模变结构控制系统既能在有限时间内快速趋近切换面,又最终稳定于平衡状态。

关键词: Delta算子系统, 变结构控制, 准滑动模态, 趋近律, 反正切函数

Abstract: Concerning the chattering problem of Sliding Mode Variable Structure Control (SMVSC) for Delta operator system with uncertainties, a sliding mode variable structure controller based on Delta operator discrete method was designed. A modified discrete reaching law for Delta operator system was proposed based on arc tangent function. The system uncertainty was substituted with its least upper bound and greatest lower bound, and then the SMVSC law was designed. The simulation result illustrates the feasibility and validity of the proposed method, and shows it has a good complete robustness for the internal parameter perturbation and external disturbance. Therefore, the SMVSC system based on the proposed reaching law method can not only quickly reach the region of the switching plane in finite time, but also is stable in the equilibrium state.

Key words: Delta operator system, variable structure control, quasi-sliding mode, reaching law, arc tangent function

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