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A first principles solution to the non‐singular H ∞ control problem
Author(s) -
Petersen Ian R.,
Anderson Brian D. O.,
Jonckheere Edmond A.
Publication year - 1991
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.4590010304
Subject(s) - control (management) , mathematics , physics , control theory (sociology) , computer science , artificial intelligence
This paper presents an elementary solution to the non‐singular H ∞ control problem. In this control problem, the underlying linear system satisfies a set of assumptions which ensures that the solution can be obtained by solving just two algebraic Riccati equations of the game type. This leads to the central solution to the H ∞ control problem. The solution presented in this paper uses only elementary ideas beginning with the Bounded Real Lemma.