Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (4): 501-507 .doi: https://doi.org/10.1007/s10483-006-0410-z

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ADAPTIVE REGULATION OF HIGH ORDER NONHOLONOMIC SYSTEMS

MU Xiao-wu, YU Ji-min, CHENG Gui-fang   

  1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China
  • Received:2004-12-10 Revised:2005-12-10 Online:2006-04-18 Published:2006-04-18
  • Contact: MU Xiao-wu

Abstract: The problem of adaptive regulation of a class of high-order parametric nonholonomic systems in chained-form was discussed. Using adding a power integrator technique and state scaling with discontinuous projection technique, a discontinuous adaptive dynamic controller was constructed. The controller guarantees the estimated value of unknown parameter is in the prescribed extent.

2010 MSC Number: 

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