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PID controller optimization for H ∞ control by linear programming
Author(s) -
Saeki Masami,
Aimoto Koji
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/(sici)1099-1239(200002)10:2<83::aid-rnc464>3.0.co;2-l
Subject(s) - linear matrix inequality , linear programming , discretization , convex optimization , pid controller , norm (philosophy) , mathematical optimization , mathematics , control theory (sociology) , controller (irrigation) , regular polygon , computer science , control (management) , engineering , mathematical analysis , control engineering , temperature control , agronomy , artificial intelligence , biology , geometry , political science , law
The constraints on the PID gains, which are derived from the H ∞ norm performance index by discretization of the frequency, are convex or concave depending on frequencies. This problem is a non‐convex problem, and a new method of approximating these constraints as adequate linear inequalities is proposed. Then, the optimal solution can be efficiently and successfully searched for by applying linear programming iteratively. This method is compared with methods based on barrier function and linear matrix inequality. Copyright © 2000 John Wiley & Sons, Ltd.