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Plant zero structure and further order reduction of a singular H ∞ controller
Author(s) -
Watanabe Takao,
Stoorvogel Anton A.
Publication year - 2002
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.664
Subject(s) - control theory (sociology) , controller (irrigation) , reduction (mathematics) , order (exchange) , riccati equation , mathematics , observer (physics) , computer science , control (management) , mathematical analysis , differential equation , physics , geometry , finance , quantum mechanics , artificial intelligence , agronomy , economics , biology
A new class of reduced‐order controllers is obtained for the H ∞ problem. The reduced‐order controller does not compromise the performance attained by the full‐order controller. Algorithms for deriving reduced‐order H ∞ controllers are presented in both continuous and discrete time. The reduction in order is related to unstable transmission zeros of the subsystem from disturbance inputs to measurement outputs. In the case where the subsystem has no infinite zeros, the resulting order of the H ∞ controller is lower than that of the existing reduced‐order H ∞ controller designs which are based on reduced‐order observer design. Furthermore, the mechanism of the controller order reduction is analysed on the basis of the two‐Riccati equation approach. The structure of the reduced‐order H ∞ controller is investigated. Copyright © 2002 John Wiley & Sons, Ltd.