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A combined iterative scheme for identification and control redesigns
Author(s) -
Date Paresh,
Lanzon Alexander
Publication year - 2004
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.824
Subject(s) - weighting , identification (biology) , controller (irrigation) , transfer function , control theory (sociology) , function (biology) , frequency domain , system identification , domain (mathematical analysis) , computer science , scheme (mathematics) , identification scheme , iterative method , mathematical optimization , mathematics , control (management) , algorithm , engineering , data modeling , data mining , artificial intelligence , radiology , measure (data warehouse) , medicine , botany , electrical engineering , database , mathematical analysis , biology , evolutionary biology , agronomy , computer vision
This work proposes a unified algorithm for identification and control. Frequency domain data of the plant is weighted to satisfy the given performance specifications. A model is then identified from this weighted frequency domain data and a controller is synthesised using the ℋ ∞ loopshaping design procedure. The cost function used in the identification stage essentially minimizes a tight upper bound on the difference between the achieved and the designed performance in the sense of the ℋ ∞ loopshaping design paradigm. Given a model, a method is also suggested to re‐adjust model and weighting transfer functions to reduce further the worst case chordal distance between the weighted true plant and the model. Copyright © 2004 John Wiley & Sons, Ltd.