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Identification in ℋ︁ ∞ with nonuniformly spaced frequency response measurements
Author(s) -
Akcay HÜSeyin,
Gu Guoxiang,
Khargonekar Pramod P.
Publication year - 1994
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.4590040412
Subject(s) - identification (biology) , norm (philosophy) , grid , frequency response , system identification , algorithm , mathematics , control theory (sociology) , class (philosophy) , computer science , engineering , data mining , control (management) , artificial intelligence , botany , geometry , electrical engineering , political science , law , biology , measure (data warehouse)
In this paper, the problem of ‘system identification in ℋ ∞ ’ is investigated in the case when the given frequency response data are not necessarily on a uniformly spaced grid of frequencies. A large class of robustly convergent identification algorithms is derived. A particular algorithm is further examined and explicit worst case error bounds (in the ℋ ∞ norm) are derived for both discrete‐time and continuous‐time systems. An example is provided to illustrate the application of the algorithms.