Science China Information Sciences

, Volume 54, Issue 7, pp 1419–1429

A new approach to adaptive control design without overparametrization for a class of uncertain nonlinear systems

Research Papers

DOI: 10.1007/s11432-011-4299-3

Cite this article as:
Zhang, J. & Liu, Y. Sci. China Inf. Sci. (2011) 54: 1419. doi:10.1007/s11432-011-4299-3


This paper considers the globally stabilizing adaptive controller design for a class of more general uncertain high-order nonlinear systems with unknown control coefficients. Although the existing literature has solved the problem, for n-dimensional systems, the existing methods need at least n + 1 dynamic updating laws for the unknown parameters to construct the stabilizing adaptive controller; that is, the dimension of the dynamic compensator is not less than n + 1, and therefore, there exists serious overparametrization. In this paper, by defining some new unknown parameters which need dynamic updating, also by using adding a power integrator and related adaptive technique, the overparametrization is successfully solved and a new approach is given to design stabilizing adaptive controller based on only one parameter updating law. A simulation example is finally provided to demonstrate the validness of the proposed approach.


high-order nonlinear systems unknown control coefficients overparametrization stabilizing control design adding a power integrator adaptive technique 

Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.School of Control Science and EngineeringShandong UniversityJinanChina