期刊文献+

基于最小二乘支持向量机的非线性广义预测控制 被引量:17

Nonlinear generalized predictive control based on least square support vector machine
原文传递
导出
摘要 通过中值定理将一类非线性系统近似为时变线性系统,然后将提出的在线最小二乘支持向量机回归(OLS-SVMR)与广义预测控制相结合,提出了一种基于OLS-SVMR的自适应直接广义预测控制.利用OLS-SVMR直接设计预测控制器,并基于广义误差估计对控制器参数和广义误差估计中的未知向量进行自适应调整.理论证明了该方法可使广义误差估计值收敛到原点的一个小邻域内.仿真算例也验证了该方法的有效性. A class of nonlinear system is replaced by a time varying linear system based on the mean value theorem. Then by combining the presented online least square support vector machine regression (OLS-SVMR) with the generalized predictive control (GPC), an adaptive direct generalized predictive control method based on the OLS- SVMR is presented. The OLS-SVMR is used to design the controller directly. The controller parameters and unknown vectors in the estimation of generalized error are adjusted adaptively. It is proved that the presented method can make the eatimation of generalized error converge to a small neighborhood of the origin. The simulation results show the effectiveness of the presented method.
出处 《控制与决策》 EI CSCD 北大核心 2009年第4期520-525,531,共7页 Control and Decision
基金 国家自然科学基金重点项目(60534020) 国家973计划项目(2002CB312205) 北京市重点学科基金项目(XK100060526) 高等学校博士学科点专项科研项目(20070006060) 中国博士后科学基金项目(20070410359)
关键词 非线性离散系统 在线最小二乘支持向量机回归 广义预测控制 广义误差 稳定性分析 Nonlinear discrete system OLS-SVMR Generalized predictive control Generalized error Stability analysis
  • 相关文献

参考文献14

  • 1Clarke D W, Mohtadi C, Tuffs P S. Generalized predictive control[J]. Automatiea, 1987, 23 (2) : 137- 160.
  • 2Clarke D W, Mosca E, Scattolini R. Robustness of an adaptive predictive controller [J]. IEEE Trans on Automatic Control, 1994, 39(5) : 1052-1056.
  • 3Jie Zhang, Julian morris. Nonlinear model predictive control based on multiple local linear model[C]. Proc of the American Control Conf. Arlington, 2001: 3503- 3508.
  • 4Fischer M, Nelles O, Isermann R. Predictive control based on local linear fuzzy models[J]. Int J of Systems Science, 1998, 29(7) : 679-697.
  • 5Liu G P, Kadirkamanathan V, Billings S. Predictive control for nonlinear systems using neural networks[J]. Int J of Control, 1998, 71(6) : 1119-1132.
  • 6师五喜,霍伟,吴宏鑫.一类未知非线性离散系统的直接自适应模糊预测控制[J].自动化学报,2004,30(5):664-670. 被引量:15
  • 7Vapnik V N. The nature of statistical learning theory[M]. New York: Springer-Verlag, 1999.
  • 8刘斌,苏宏业,褚健.一种基于最小二乘支持向量机的预测控制算法[J].控制与决策,2004,19(12):1399-1402. 被引量:38
  • 9Iplikei S. Support vector machines-based generalized predictive control[J]. Int J of Robust and Nonlinear Control, 2006: 843-862.
  • 10LI Li-Juan,SU Hong-Ye,CHU Jian.Generalized Predictive Control with Online Least Squares Support Vector Machines[J].自动化学报,2007,33(11):1182-1188. 被引量:41

二级参考文献11

  • 1刘斌,苏宏业,褚健.一种基于最小二乘支持向量机的预测控制算法[J].控制与决策,2004,19(12):1399-1402. 被引量:38
  • 2秦滨,韩志刚.非线性NARMAX模型的ARMAX模型全局线性化[J].自动化学报,1997,23(3):332-337. 被引量:6
  • 3Clarke D W, Mohtadi C, Tuffs P S. Generalized predictive control, Part Ⅰ and Part Ⅱ. Automatica, 1987, 23(2):137-160
  • 4Liu G P, Kadirkamanathan V, Billings S. Predictive control for nonlinear systems using neural networks. International Journal of Control, 1998, 71(6): 1119-1132
  • 5Wang L X. Stable adaptive fuzzy control of nonlinear systems. IEEE Transactions on Fuzzy Systems, 1993, 1(2):146-155
  • 6Chang R Y, Yang S Y, Wang M L. A new approach for parameter identification of time-varying systems via generalized orthogonal polynomials. International Journal of Control, 1986, 44(6): 1747- 1755
  • 7Goodwin G C, Sin K S. Adaptive Filtering, Predictive and Control. Englewood Cliffs, New Jersey: Prentice-Hall,1984. 88-93
  • 8Rawlings J B. Tutorial overview of model predictive control[J]. IEEE Control Systems Magazines,2000,20(3): 38-52.
  • 9Vapnik V. Statistical Learning Theory [M]. New York : John Wiley, 1998.
  • 10Suykens J A K, Vandewalle J. Least squares support vector machine classifiers[J]. Neural Processing Letters, 1999,9(3) :293-300.

共引文献114

同被引文献132

引证文献17

二级引证文献71

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部