Volume 31, Issue 18 pp. 9745-9766
RESEARCH ARTICLE

Observer-based optimal adaptive control for multimotor driving servo systems

Shuangyi Hu

Shuangyi Hu

School of Automation, Beijing Institute of Technology, Beijing, China

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Xuemei Ren

Corresponding Author

Xuemei Ren

School of Automation, Beijing Institute of Technology, Beijing, China

Correspondence Xuemei Ren, School of Automation, Beijing Institute of Technology, Beijing 100081, China.

Email: [email protected]

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Minlin Wang

Minlin Wang

Department of Inertia, Changcheng Institute of Metrology and Measurement, Beijing, China

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Dongdong Zheng

Dongdong Zheng

School of Automation, Beijing Institute of Technology, Beijing, China

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First published: 11 October 2021
Abbreviations: ESN, echo state network; MIMO, multiinput multioutput; OASM, optimal adaptive sliding mode; SMC, sliding mode control.

Funding information: National Natural Science Foundation of China, 61433003; 61973036

Abstract

An adaptive control strategy based on the optimal sliding surface is designed for multimotor driving servo systems in this article. By dividing the system into load subsystem and motor subsystem and decomposing the tracking performance index, the optimal control problem of a high-order systems is simplified into a second-order system optimal control problem. Then based on the decomposed performance indexes, the optimal sliding surfaces are determined by solving two algebraic Riccati equations. Combined with an adaptive gain, an optimal adaptive tracking controller is designed, which can reduce the settling time and the energy consumption with a small overshoot. In addition, to obtain the unmeasurable angular velocities of motors and the load, an leaky echo state network-based observer is applied that ensures fast and accurate estimation. Furthermore, to solve the synchronization problem of the multimotor driving servo systems, the mean relative coupling synchronization controller is designed. The simulation and experimental results have demonstrated that the presented control scheme is effective.

CONFLICT OF INTEREST

The authors declare that there is no conflict of interest regarding the publication of this paper.

DATA AVAILABILITY STATEMENT

Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.