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Parameterized bilinear matrix inequality techniques for ℋ ∞ gain‐scheduling proportional integral derivative control design
Author(s) -
Shi Ye,
Tuan Hoang Duong,
Apkarian Pierre
Publication year - 2020
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.4979
Subject(s) - parameterized complexity , pid controller , gain scheduling , mathematical optimization , control theory (sociology) , bilinear interpolation , computer science , computation , scheduling (production processes) , mathematics , control (management) , control engineering , engineering , algorithm , temperature control , artificial intelligence , computer vision
Summary Proportional‐integral‐derivative (PID) structured controller is the most popular class of industrial control but still could not be appropriately exploited in gain‐scheduling control systems. To gain the practicability and tractability of gain‐scheduling control systems, this paper addresses theℋ ∞gain‐scheduling PID control. The design of such a controller is based on parameterized bilinear matrix inequalities, which are then solved via a bilinear matrix inequality optimization problem of nonconvex optimization. Several computational procedures are developed for its computation. The merit of the developed algorithms is shown through the benchmark examples.