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PID control design and ℋ︁ ∞ loop shaping
Author(s) -
Panagopoulos Hélène,
Åström Karl J.
Publication year - 2000
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 - 10.1002/1099-1239(20001230)10:15<1249::aid-rnc514>3.0.co;2-7
Subject(s) - pid controller , control theory (sociology) , sensitivity (control systems) , metric (unit) , norm (philosophy) , control engineering , computer science , mathematics , control (management) , engineering , artificial intelligence , temperature control , electronic engineering , operations management , political science , law
This paper shows that traditional methods for design of PID controllers can be related to robust ℋ ∞ control. In particular, it shows how the specifications in terms of maximum sensitivity and maximum complementary sensitivity are related to the weighted ℋ ∞ norm introduced by Glover and McFarlane [5]. The paper also shows how to use the Vinnicombe metric to classify those classes of systems which can be stabilized by the presented design methods in Åström et al [3] and Panagopoulos et al [4]. Copyright © 2000 John Wiley & Sons, Ltd.