Data-driven control for multi-rate multi-input/single-output systems

T Sato; Y Sakai; N Kawaguchi; A Inoue

doi:10.1016/j.isatra.2021.07.035

Data-driven control for multi-rate multi-input/single-output systems

ISA Trans. 2022 Jul:126:254-262. doi: 10.1016/j.isatra.2021.07.035. Epub 2021 Jul 24.

Authors

T Sato¹, Y Sakai², N Kawaguchi³, A Inoue⁴

Affiliations

¹ Department of Mechanical Engineering, Graduate School of Engineering, University of Hyogo, 2167, Shosha, Himeji, Hyogo 671-2280, Japan. Electronic address: tsato@eng.u-hogo.ac.jp.
² Department of Mechanical Engineering, Graduate School of Engineering, University of Hyogo, 2167, Shosha, Himeji, Hyogo 671-2280, Japan. Electronic address: es20p007@steng.u-hyogo.ac.jp.
³ Department of Mechanical Engineering, Graduate School of Engineering, University of Hyogo, 2167, Shosha, Himeji, Hyogo 671-2280, Japan. Electronic address: kawaguchi@eng.u-hyogo.ac.jp.
⁴ Okayama University, 3-1-1, Tsushima-Naka, Kitaku, Okayama-shi, 700-0082, Japan. Electronic address: inoue-09@t.okadai.jp.

PMID: 34417014
DOI: 10.1016/j.isatra.2021.07.035

Abstract

For the next generation of manufacturing, represented by Industrie 4.0, a multi-input controller is designed directly from controlled data, without using the mathematical plant model, where the ratio between the D/A conversion of multiple inputs and the A/D conversion of a single output is non-uniquely. With the proposed method, the fixed-structured controller is optimally designed by solving a model reference problem using one-shot data. Furthermore, to eliminate inter-sample ripples emerged by input oscillation, the deviation of the control inputs is also evaluated using the proposed method. As a result, a non-ripple data-driven controller is achieved. Numerical examples show that the proposed multi-rate data-driven method is superior than the conventional single-rate method.

Keywords: Adaptive control; Data-driven; Multi-input; Non-uniform; Sampled-data control.