Title: Frequency-response-based multivariable controller tuning for H_∞ loop shaping method

Authors: Tomohiro Usami; Kazuhiro Yubai; Daisuke Yashiro; Satoshi Komada

Addresses: Department of Electrical and Electronic Engineering, Graduate School of Mie University, 1577 Kurimamachiya, Tsu, Mie, 514-8603, Japan ' Department of Electrical and Electronic Engineering, Graduate School of Mie University, 1577 Kurimamachiya, Tsu, Mie, 514-8603, Japan ' Department of Electrical and Electronic Engineering, Graduate School of Mie University, 1577 Kurimamachiya, Tsu, Mie, 514-8603, Japan ' Department of Electrical and Electronic Engineering, Graduate School of Mie University, 1577 Kurimamachiya, Tsu, Mie, 514-8603, Japan

Abstract: Robust control is applied to systems with uncertainties and disturbances. Above all, the H_∞ loop shaping method is known to achieve good control performance and robustness. However, this method takes much time to build the mathematical model of an actual plant and its uncertainty. This paper proposes a controller tuning method which only uses frequency responses of the plant. In this method, the controller is designed by iterative linear-matrix-inequality (LMI) optimisation using frequency responses of the plant. Since the controller is designed without the modelling, identification cost is expected to be saved compared with the model-based approach. Moreover, a fixed structural controller such as a proportional-differential (PD) or a proportional-integral-differential (PID) controller is readily designed. The effectiveness of the proposed method is verified through the experiment for a tension-and-velocity control apparatus, and comparison with the other method is given in the last of this paper.

Keywords: H_∞ loop shaping; fixed structural controller; low-order controller; iterative LMI optimisation; frequency response data.

DOI: 10.1504/IJAMECHS.2017.095852

International Journal of Advanced Mechatronic Systems, 2017 Vol.7 No.5, pp.265 - 273

Received: 24 Jul 2017
Accepted: 17 Nov 2017
Published online: 25 Oct 2018 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article