Parameterized Bilinear Matrix Inequality Techniques in ${\cal H}_{\infty}$ Fuzzy PID Control Design
Systems and Control
2018-02-14 v1
Abstract
Proportional-integral-derivative (PID) structured controller is the most popular class of industrial control but still could not be appropriately exploited in fuzzy systems. To gain the practicability and tractability of fuzzy systems, this paper develops a parameterized bilinear matrix inequality characterization for the fuzzy PID control design, which is then relaxed into a bilinear matrix inequality optimization problem of nonconvex optimization. Several computational procedures are then developed for its solution. The merit of the developed algorithms is shown through the benchmark examples.
Keywords
Cite
@article{arxiv.1802.04460,
title = {Parameterized Bilinear Matrix Inequality Techniques in ${\cal H}_{\infty}$ Fuzzy PID Control Design},
author = {Y. Shi and H. D. Tuan},
journal= {arXiv preprint arXiv:1802.04460},
year = {2018}
}
Comments
10 pages, 10 figures