引用本文:张利军,赵杰梅,齐雪.带有内动态的离散不确定非线性系统的滑模预测跟踪控制[J].控制理论与应用,2012,29(12):1651~1656.[点击复制]
ZHANG Li-jun,ZHAO Jie-mei,QI Xue.Sliding-mode prediction tracking control for discrete-time uncertain nonlinear systems with internal dynamics[J].Control Theory and Technology,2012,29(12):1651~1656.[点击复制]
带有内动态的离散不确定非线性系统的滑模预测跟踪控制
Sliding-mode prediction tracking control for discrete-time uncertain nonlinear systems with internal dynamics
摘要点击 1906  全文点击 1232  投稿时间:2012-05-02  修订日期:2012-06-29
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DOI编号  10.7641/j.issn.1000-8152.2012.12.JCTA11102
  2012,29(12):1651-1656
中文关键词  离散非线性系统  预测控制  滑模控制  内动态
英文关键词  discrete-time nonlinear systems  predictive control  sliding mode control  internal dynamic
基金项目  This work was supported by the National Natural Science Foundation of China (No. 61174047); the Basic Research Foundation of Northwestern Polytechnical University (No. JC201230).
作者单位E-mail
张利军 哈尔滨工程大学 自动化学院
西北工业大学 航海学院 
zhanglj@hrbeu.edu.cn 
赵杰梅* 哈尔滨工程大学 自动化学院 jiemeizhao@163.com 
齐雪 安徽科技学院 理学院  
中文摘要
      对于一类带有内动态的单输入-单输出不确定离散非线性系统, 基于滑模预测控制技术设计了一个控制器. 通过反馈校正和滚动优化技术, 可以及时补偿不确定性的影响, 提高了匹配和不匹配不确定项的鲁棒性. 然后, 通过滚动优化技术得到期望的滑模控制律. 特别地, 通过预测控制, 滑模控制的抖振现象可以消除. 最后, 在不确定项的界未知的情况下, 得到闭环系统的所有信号都是有界的, 并且跟踪误差是鲁棒稳定的. 仿真例子说明所提出控制方法的有效性.
英文摘要
      Based on the sliding-mode predictive control (SMPC) technique, a controller for a class of discrete-time nonlinear uncertain single-input-single-output (SISO) systems with internal dynamics is proposed. Due to the feedback correction and receding horizon optimization, the effect of uncertainty can be compensated in time, and the robustness to matched or unmatched uncertainties has been improved. The desired sliding-mode control law is obtained by using the receding horizon optimization subsequently. Especially, the chattering of sliding-mode control (SMC) can be eliminated by predictive control techniques. It is shown that all the signals of the closed-loop systems are bounded and the tracking error is robustly stable, without requiring the boundary knowledge of the uncertainty. Simulation result is given to demonstrate the advantages of the proposed method.