Global control of nonlinear systems with uncertain output function using homogeneous domination approach

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Abstract
SUMMARY: This paper addresses the problem of using output feedback to globally control a class of nonlinear systems whose output functions are not precisely known. First, for the nominal linear system, we design a homogeneous state compensator without requiring precise information of the output function, and construct a nonlinear stabilizer with adjustable coefficients by using the generalized adding a power integrator technique. Then based on the homogeneous domination approach, a scaling gain is introduced into the proposed output feedback controller, which can be used by tuning the scaling gain to solve: (i) the problem of global output feedback stabilization for a class of upper‐triangular systems; and (ii) the problem of global practical output tracking for a class of lower‐triangular systems. Copyright © 2011 John Wiley & Sons, Ltd.
Funding Information
  • U.S. National Science Foundation (HRD-0932339)
  • National Natural Science Foundation of China (60804017, 60904020)
  • Research Fund for the Doctoral Program of Higher Education of China (20090092120027)
  • Natural Science Foundation of Jiangsu Province (BK2010200)
  • National High Technology Research and Development Program of China (2009AA01Z311)

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