时滞不确定系统的支持向量机滑模控制SVM-Based Sliding Mode Control of Uncertain Systems with Time-delay
赵倩,陈志梅,张井岗
摘要(Abstract):
针对一类具有不确定性参数和状态时滞的系统,利用线性矩阵不等式(LMI)方法设计了滑模控制器,并且针对系统的不确定性,引入支持向量机(SVM)对其进行在线学习,获得不确定性部分的上界值,保证了系统的稳定性与鲁棒性,有效地降低了滑模控制固有的抖振现象,改善了系统的控制品质。仿真研究表明了此方法的可行性与有效性。
关键词(KeyWords): 时滞系统;滑模控制;支持向量机
基金项目(Foundation): 山西省自然科学基金(2011011011-2)
作者(Author): 赵倩,陈志梅,张井岗
参考文献(References):
- [1]EL-KHEZALI R,AHMAD W H.Variable structure control of fractional time-delay systems[C]//2nd IFAC,Workshop on frac-tional differentiation and applications,Porto,Portugal,2006.
- [2]AMAR SI-AMMOUR,SAID DJENNOUNE.A sliding mode control for linear fractional systems with input and state delays[C]//Maamar Bettayeb Commun Nonlinear Sci Numer Simulat,2009,14:2310-2318.
- [3]张静梅,贾新春.不确定时变时滞线性系统的鲁棒采样控制[J].太原科技大学学报,2009,30(4):302-308.
- [4]HE Y,LIU G P,REES D,M.W.H∞filtering for discrete-time systems with time-varying delay[J].Signal Processing,2009,89(3):275-282.
- [5]EFE M O,UNSAL C,KAYNAK O,et al.Variable structure control of a class of uncertain systems[J].Automatica,2004,40:59-64.
- [6]范志勇,张井岗.“倒三角”系统的神经滑模控制[J].太原科技大学学报,2010,31(4):271-274.
- [7]WINSTON GARCIA-GABIN,DARINE ZAMBRANO,EDUARDO F.Camacho.Sliding mode predictive control of a solar air-con-ditioning plant[J].Control Engineering Practice,2009,17:652-663.
- [8]高宏宇,邵克勇,李艳辉.不确定系统的上界自适应动态神经滑模控制[J].吉林大学学报:自然科学版,2010,28(3):292-297.
- [9]VAPNIK V N.Statistical learning theory[M].New York:John Wiley and Sons Inc,1998
- [10]ZHONG W M,PI D Y,SUN Y X.An Approach of Nonlinear Model Multi-step-ahead Predictive Control Based on SVM[J].Lecture Notes in Computer Science,2005,35(16):1036-1039.
- [11]苏宏业,褚健,鲁仁全,等.不确定时滞系统的鲁棒控制理论[M].北京:科学出版社,2007.
- [12]张明光,阎威武,李战明.基于支持向量机的非线性系统辨识研究[J].计算机应用研究,2006(5):47-48.