Frequency-domain optimization of fixed-structure controllers

Frequency-domain optimization of fixed-structure controllers

van Solingen, E. (TU Delft Numerics for Control & Identification)
van Wingerden, J.W. (TU Delft Numerics for Control & Identification)
Oomen, T. (Eindhoven University of Technology)

2016

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.

Decentralized control
Fixed-structure control
Frequency-domain H∞ controller design
Grey-box system identification
Nyquist stability criterion

http://resolver.tudelft.nl/uuid:2dcfc112-e91a-4275-848a-61130c76aa75

https://doi.org/10.1002/rnc.3699

1049-8923

International Journal of Robust and Nonlinear Control, 28 (2018) (12), 3784-3805

Institutional Repository

journal article

© 2016 E. van Solingen, J.W. van Wingerden, T. Oomen