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Singular H ∞ control in nonlinear systems: positive semidefinite storage functions and separation principle
Author(s) -
Lee T. C.,
Chen B. S.,
Lee T. S.
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(199710)7:10<881::aid-rnc244>3.0.co;2-p
Subject(s) - control theory (sociology) , nonlinear system , positive definite matrix , controller (irrigation) , mathematics , semidefinite programming , state space , nonlinear control , control (management) , state (computer science) , mathematical optimization , computer science , algorithm , physics , eigenvalues and eigenvectors , statistics , quantum mechanics , artificial intelligence , agronomy , biology
A framework is developed for the general nonlinear H ∞ output feedback control problem, in which two major restrictions are relaxed, i.e., the non‐singular penalty in H ∞ cost and the positive definite solution of Hamilton–Jacobi inequality at present state space nonlinear H ∞ control literatures. As illustrated in an example, positive semidefinite solution simplifies the structure of the H ∞ controller. Based on this framework, some sufficient conditions are derived. While specialized to linear systems, the controller reduces to the so‐called central controller. © 1997 by John Wiley & Sons, Ltd.