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Data‐driven loop‐shaping design of PID controllers for stable plants
Author(s) -
Saeki M.
Publication year - 2014
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.2444
Subject(s) - control theory (sociology) , pid controller , phase margin , stability (learning theory) , constraint (computer aided design) , loop (graph theory) , filter (signal processing) , control engineering , controller (irrigation) , lti system theory , engineering , computer science , linear system , mathematics , control (management) , bandwidth (computing) , temperature control , artificial intelligence , amplifier , mathematical analysis , operational amplifier , biology , telecommunications , machine learning , agronomy , mechanical engineering , combinatorics , electrical engineering
SUMMARY In this paper, a loop‐shaping design method of PID controllers is proposed for stable plants under the condition that the plant is linear time invariant and a finite‐time plant response is available. The integral gain of the PID controller is maximized subject to a stability margin constraint, and the optimal solution can be found by linear programming. A filter bank is used for extracting useful information from the finite‐time response data. Numerical examples show that this method is applicable to a wide range of plants including non‐minimum phase and/or time‐delay plants. Copyright © 2013 John Wiley & Sons, Ltd.