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H ∞ balancing for nonlinear systems
Author(s) -
Scherpen Jacquelien M. A.
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<645::aid-rnc179>3.0.co;2-x
Subject(s) - nonlinear system , monotonic function , control theory (sociology) , mathematical optimization , computer science , reduction (mathematics) , function (biology) , mathematics , control (management) , mathematical analysis , artificial intelligence , physics , geometry , quantum mechanics , evolutionary biology , biology
In previously obtained balancing methods for nonlinear systems a past and a future energy function are used to bring the nonlinear system in balanced form. By considering a different pair of past and future energy functions that are related to the H ∞ control problem for nonlinear systems we define H ∞ balancing. Furthermore, we investigate the monotonicity of the Hamilton‐Jacobi‐Bellman equations that appear in this balancing method. The method is used as a tool for model reduction.