TY - JOUR
T1 - Frequency-domain optimization of fixed-structure controllers
AU - van Solingen, E.
AU - van Wingerden, J. W.
AU - Oomen, T.
PY - 2016
Y1 - 2016
N2 - This paper aims to introduce a new approach to optimize the tunable controller parameters of linear parameterizable controllers. The presented approach is frequency-domain based and can therefore directly be used to tune, among others, proportional integral derivative controllers, low/high-pass filters, and notch filters, using a Frequency Response Function of the plant. The approach taken in this paper is to extract the tunable controller parameters into a diagonal matrix gain and absorb the remainder of the controller in the plant. Then, the generalized Nyquist stability criterion is exploited so as to impose stability and H∞ performance specifications on the closed-loop system. It is shown that the approach results in a convex feasibility problem for certain controller cases and can be reformulated such that it can also be used for grey-box system identification. Simulation and experimental examples demonstrate the efficacy of the approach.
AB - This paper aims to introduce a new approach to optimize the tunable controller parameters of linear parameterizable controllers. The presented approach is frequency-domain based and can therefore directly be used to tune, among others, proportional integral derivative controllers, low/high-pass filters, and notch filters, using a Frequency Response Function of the plant. The approach taken in this paper is to extract the tunable controller parameters into a diagonal matrix gain and absorb the remainder of the controller in the plant. Then, the generalized Nyquist stability criterion is exploited so as to impose stability and H∞ performance specifications on the closed-loop system. It is shown that the approach results in a convex feasibility problem for certain controller cases and can be reformulated such that it can also be used for grey-box system identification. Simulation and experimental examples demonstrate the efficacy of the approach.
KW - Decentralized control
KW - Fixed-structure control
KW - Frequency-domain H∞ controller design
KW - Grey-box system identification
KW - Nyquist stability criterion
UR - http://www.scopus.com/inward/record.url?scp=85009289214&partnerID=8YFLogxK
UR - http://resolver.tudelft.nl/uuid:2dcfc112-e91a-4275-848a-61130c76aa75
U2 - 10.1002/rnc.3699
DO - 10.1002/rnc.3699
M3 - Article
AN - SCOPUS:85009289214
SN - 1049-8923
VL - 28 (2018)
SP - 3784
EP - 3805
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
IS - 12
ER -