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Adaptive switching control of discrete time nonlinear systems based on multiple models 被引量：1

Adaptive switching control of discrete time nonlinear systems based on multiple models
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摘要 We use the approach of “optimal” switching to design the adaptive control because the design among multiple models is intuitively more practically feasible than the traditional adaptive control in improving the performances. We prove that for a typical class of nonlinear systems disturbed by random noise, the multiple model adaptive switching control based on WLS (Weighted Least Squares) or projected-LS (Least Squares) is stable and convergent. We use the approach of “optimal” switching to design the adaptive control because the design among multiple models is intuitively more practically feasible than the traditional adaptive control in improving the performances. We prove that for a typical class of nonlinear systems disturbed by random noise, the multiple model adaptive switching control based on WLS (Weighted Least Squares) or projected-LS (Least Squares) is stable and convergent.
作者 RuiKAN
机构地区 InstituteofSysternsScience
出处 《控制理论与应用（英文版）》 EI 2004年第1期43-50,共8页
基金 This work was supported by the National Natural Science Foundation of China.
关键词 Multiple model Switching control Adaptive control WLS LS Projected LS Multiple model Switching control Adaptive control WLS LS Projected LS
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献11

  • 1ZHANGYanxia,GUOLei.STOCHASTIC ADAPTIVE SWITCHING CONTROL BASED ON MULTIPLE MODELS[J].Journal of Systems Science & Complexity,2002,15(1):18-34. 被引量：2
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二级参考文献16

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共引文献1

同被引文献19

  • 1Morse A S. Supervisory control of families of linear set-point controls-part I : exact matching [J].IEEE Transaction on Automatic Control, 1996, 41: 1413 - 1431,.
  • 2Morse A S. Supervisory control of families of linear set-point controls-part Ⅱ : exact matching [ J ]IEEE Transaction on Automatic Control, 1997,42: 1500 - 1515.
  • 3Huang C L. Robust discrete variable structure con- trol with finite-time approach to switching surface [ J]. Automatica, 2002, 38 : 167 - 175.
  • 4Lainiotis D G. Partitioning: a unifying framework for adaptive systems, Part I and Ⅱ[ J]. Proceeding of the IEEE, 1976, 64:Part Ⅰ ,1126-1142; Part Ⅱ, 1182 - 1197.
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  • 6Narendra K S, Balakrishnan J. Adaptive control u- sing multiple models and switching [J]. IEEE Transaction on Automatic Control, 1997,42:171 -187.
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  • 8Athans M, Castanon D, Dunn K, et al. The stochas- tic control of the F-8c aircraft using a multiple mod- el adaptive control ( MMAC ) method-Part Ⅰ : equi- librium flight[J].IEEE Transaction on Automatic Control, 1977, AC-22:768-780.
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  • 10Moose R L, Van Landingham H F, McCabe D H. Modeling and estimation for tracking maneuvering targets [J].IEEE Transaction on Aerospace and Electronic System, 1979, AES-15:448 - 456.

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控制理论与应用（英文版）
2004年 第1期

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