引用本文:陈辉,武文豪,秦春斌.不确定离散时间系统的复合非线性反馈积分滑模控制[J].控制理论与应用,2023,40(2):297~303.[点击复制]
CHEN Hui,WU Wen-hao,QIN Chun-bin.Composite nonlinear feedback based integral sliding mode control for uncertain discrete-time system[J].Control Theory and Technology,2023,40(2):297~303.[点击复制]
不确定离散时间系统的复合非线性反馈积分滑模控制
Composite nonlinear feedback based integral sliding mode control for uncertain discrete-time system
摘要点击 1160  全文点击 474  投稿时间：2021-12-18  修订日期：2022-09-15
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DOI编号  10.7641/CTA.2022.11241
  2023,40(2):297-303
中文关键词  复合非线性反馈  离散时间系统  积分滑模控制  鲁棒性
英文关键词  composite nonlinear feedback  discrete time system  integral sliding mode control  robustness
基金项目  国家自然科学基金项目(61703142), 河南省高等学校青年骨干教师培养计划项目(2018GGJS017), 河南省科技攻关项目(222102240014)资助.
作者单位E-mail
陈辉 河南大学 chenhuijob@126.com 
武文豪 河南大学  
秦春斌* 河南大学 qcb@henu.edu.cn 
中文摘要
      针对不确定离散时间系统, 提出一种基于离散复合非线性反馈的积分滑模(DCNF-ISM)控制策略, 并将该算法 应用于扰动下的磁盘跟踪问题. 该算法由离散复合非线性反馈(DCNF)控制律与积分滑模(ISM)控制律两部分组成, 其 中DCNF控制律用于保证系统具有较好瞬态性能, 基于改进的离散趋近律设计的ISM控制律用于保证系统鲁棒性. 基 于Lyapunov稳定性理论对本文提出的控制策略的稳定性进行了推导证明, 证明了离散时间系统的一致最终有界性. 仿 真结果表明, 本文提出的控制策略能保证系统在扰动下仍然能够精确跟踪给定的参考信号, 与传统的DCNF控制相比, 该算法能够保证系统具有响应速度快超调量小、鲁棒性强等优点.
英文摘要
      A discrete composite nonlinear feedback based integral sliding mode (DCNF-ISM) control strategy is proposed for uncertain discrete-time systems, and the algorithm is applied to disk tracking issues under disturbances. The algorithm is composed of discrete composite nonlinear feedback (DCNF) control law and integral sliding mode (ISM) control law. The DCNF control is used to ensure better transient performance of the system, and the ISM control based on an improved discrete reaching law design is used to ensure the robustness of the system. The control strategy proposed in this paper is deduced and proved based on the Lyapunov stability theory, which proves the uniform ultimate boundedness of the discrete-time system. Simulation results show that the proposed control strategy can ensure that the system output tracks the given reference signal in presence of disturbances. Compared with the traditional DCNF control, the proposed algorithm has the advantages of fast response, small overshoot, and strong robustness.