Disturbance Observer-Based Dynamic Surface Control for Servomechanisms with Prescribed Tracking Performance

Xingfa Zhao, Wenhe Liao, Tingting Liu, Dongyang Zhang () and Yumin Tao
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Xingfa Zhao: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
Wenhe Liao: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
Tingting Liu: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China
Dongyang Zhang: Beijing Aerospace Times Laser Inertial Technology Company, Ltd., Beijing 100094, China
Yumin Tao: Beijing Aerospace Times Laser Inertial Technology Company, Ltd., Beijing 100094, China

Mathematics, 2025, vol. 13, issue 1, 1-21

Abstract: The critical design challenge for a class of servomechanisms is to reject unknown dynamics (including internal uncertainties and external disturbances) and achieve the prescribed performance of the tracking error. To get rid of the influence of unknown dynamics, an extended state observer (ESO) is employed to estimate system states and total unknown dynamics and does not require a priori information of the known dynamic. Meanwhile, an improved prescribed performance function is presented to guarantee the transient performance of the tracking error (e.g., the overshoot, convergence rate, and the steady state error). Consequently, a modified dynamic surface control strategy is designed based on the estimations of the ESO and error constraints. The stability of the proposed control strategy is demonstrated using Lyapunov theory. Finally, some simulation results based on a turntable servomechanism show that the proposed method is effective, and it has a better control effect and stronger anti-disturbance ability compared with the traditional control method.

Keywords: servomechanisms; disturbance rejection; extended state observer (ESO); prescribed performance function; dynamic surface control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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