open access

https://hdl.handle.net/2115/86569

Direct tuning method of gain-scheduled controllers with the sparse polynomials function

英語

VRFT

2022-08-18

John Wiley & Sons

Asian Journal of Control

24(5)

2111-2126

In industry, gain-scheduled proportional-integral-derivative (PID) control is performed for nonlinear systems using a look-up table (LUT) that is easy to understand. Compared with the fixed PID, there are many more parameters of the scheduler, and it takes a lot of time to tune them. Also, the ROM storage area increases. To address these problems, in this paper, we propose a gain-scheduled control law using the sparse polynomial functions and a direct parameter tuning method without system identification. The polynomial functions are used instead of LUT to reduce the ROM area. For direct tuning, data-driven control is formulated so that it can be applied to the gain-scheduled control, and the optimal parameters are obtained by the LASSO regression, with which the small contributing parameters of the scheduler become zero, and a sparse controller is obtained. The effectiveness of this method was examined by simulation for two types of nonlinear systems. As a result, it was revealed that a sparse controller with a low calculation cost and a reduced ROM area can be directly obtained without knowing the characteristics of the controlled object for a large number of control parameters of the gain scheduler.

学術雑誌論文

Accepted Manuscript

This is the peer reviewed version of the following article: Yahagi, S. and Kajiwara, I., Direct tuning method of gain-scheduled controllers with the sparse polynomials function, Asian J Control (2021), 1-16, which has been published in final form at https://doi.org/10.1002/asjc.2657. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.

1561-8625