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Singular H ∞ control for nonlinear systems
Author(s) -
Astolfi A.
Publication year - 1997
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/(sici)1099-1239(199711)7:7<727::aid-rnc286>3.0.co;2-8
Subject(s) - decoupling (probability) , nonlinear system , singular solution , control theory (sociology) , mathematics , stability (learning theory) , class (philosophy) , point (geometry) , singular control , state (computer science) , control (management) , mathematical optimization , optimal control , computer science , mathematical analysis , engineering , control engineering , algorithm , physics , geometry , quantum mechanics , artificial intelligence , machine learning
This paper presents a solution to the singular H ∞ control problem via state feedback for a class of nonlinear systems. It is shown that the problem of almost disturbance decoupling with stability plays a fundamental role in the solution of the considered problem. We also point out when the singular problem can be reduced to a regular one or solved via standard H ∞ technique. We must stress that the solution of the singular problem is obtained without making any approximation of it by means of regular problems. © 1997 John Wiley & Sons, Ltd.