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Singular nonlinear H ∞ optimal control problem
Author(s) -
Maas W. C. A.,
Van Der Schaft A. J.
Publication year - 1996
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(199608)6:7<669::aid-rnc180>3.0.co;2-8
Subject(s) - nonlinear system , control theory (sociology) , optimal control , equivalence (formal languages) , mathematics , affine transformation , nonlinear control , singular control , context (archaeology) , control (management) , mathematical optimization , computer science , paleontology , physics , discrete mathematics , quantum mechanics , pure mathematics , biology , artificial intelligence
The theory of nonlinear H ∞ of optimal control for affine nonlinear systems is extended to the more general context of singular H ∞ optimal control of nonlinear systems using ideas from the linear H ∞ theory. Our approach yields under certain assumptions a necessary and sufficient condition for solvability of the state feedback singular H ∞ control problem. The resulting state feedback is then used to construct a dynamic compensator solving the nonlinear output feedback H ∞ control problem by applying the certainty equivalence principle.