Journal
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY
Volume 25, Issue 2, Pages 441-452Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCST.2016.2562581
Keywords
Convex optimization; proportional integral derivative (PID) control; quantitative feedback theory (QFT)
Funding
- Ministerio de Economia e Innovacion of Spain [DPI2013-47100-C2-1-P]
- Fondo Europeo de Desarrollo Regional co-funding
- Formacion de Profesorado Universitario through the Ministerio de Educacion, Cultura y Deporte of Spain [FPU12/01026]
- LCCC Linnaeus Centre
- ELLIT Excellence Center, Lund University
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This paper presents an automatic loop-shaping method for designing proportional integral derivative controllers. Criteria for load disturbance attenuation, measurement noise injection, set-point response and robustness to plant uncertainty are given. One criterion is chosen to be optimized with the remaining ones as constraints. Two cases are considered: M-constrained integral gain optimization and minimization of the cost of feedback according to quantitative feedback theory. Optimization is performed using a convex-concave procedure (CCP). The method that relies on solving a sequence of convex optimization problems converges to a local minimum or a saddle point. The proposed method is illustrated by examples.
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