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An undecomposed approach to control design for a class of nonlinear descriptor systems
Author(s) -
Sun Liying,
Wang Yuzhen
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2790
Subject(s) - class (philosophy) , nonlinear system , computer science , control theory (sociology) , control (management) , control engineering , artificial intelligence , engineering , physics , quantum mechanics
SUMMARY This paper studies control designs for a class of nonlinear descriptor systems under state undecomposed status and presents a number of new results on the stabilization, H ∞ control, and robust adaptive control. It is shown that under a suitable state feedback, two sufficient conditions of impulse‐free can be established for the resulted closed‐loop system. Using the established conditions, the stabilization problem is then discussed for the nonlinear descriptor system, and a stabilization control design procedure is presented; on the basis of which, an admissible H ∞ controller and an admissible robust adaptive controller are designed for the system with external disturbances and/or parametric uncertainties. Simulation results on a nonlinear descriptor circuit system show the efficiency of the controllers proposed in this paper. Copyright © 2012 John Wiley & Sons, Ltd.