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Adaptive Tracking Control for a Class of Nonlinear Systems Subject to Input Quantization and Actuator Faults: A Finite‐Time Control Strategy Ensuring Prescribed Performance.

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Title: Adaptive Tracking Control for a Class of Nonlinear Systems Subject to Input Quantization and Actuator Faults: A Finite‐Time Control Strategy Ensuring Prescribed Performance.
Authors: Liu, Shi‐Cheng1,2,3 (AUTHOR), Zhu, Shan‐Liang1,2,3 (AUTHOR), Hao, Wei‐Jie1,2,3 (AUTHOR), Wang, Tian‐Tian1,2,3 (AUTHOR), Han, Yu‐Qun1,2,3 (AUTHOR) yuqunhan@qust.edu.cn
Source: International Journal of Adaptive Control & Signal Processing. Nov2025, p1. 15p. 14 Illustrations.
Subject Terms: *NONLINEAR systems, *SIGNAL quantization, *BACKSTEPPING control method, *ADAPTIVE control systems, *CONTROL theory (Engineering), *LYAPUNOV stability
Abstract: ABSTRACT This paper investigates an adaptive finite‐time tracking control strategy for nonlinear systems subject to input quantization and actuator faults, integrating prescribed performance control (PPC) with finite‐time control (FTC). Firstly, the prescribed performance function is used to ensure that the tracking error of the system meets the prescribed performance standards. Secondly, by utilizing the characteristics of quantized nonlinear sectors and the structural model of actuator faults, and allowing the total number of faults to be infinite, a novel finite‐time adaptive estimation technique can be devised to handle the effects caused by actuator faults and quantized inputs. Based on this, an adaptive finite‐time tracking controller is designed via backstepping, multi‐dimensional Taylor network(MTN), quantized feedback, and finite‐time Lyapunov stability theory. The control strategy not only ensures that all signals in the closed‐loop system are semi‐globally practically finite‐time stable (SGPFS), but also that the tracking error of the system can meet the transient and steady‐state performance criteria within finite time. Finally, simulation results verify the effectiveness of the proposed control scheme. [ABSTRACT FROM AUTHOR]
Database: Academic Search Index
Description
Abstract:ABSTRACT This paper investigates an adaptive finite‐time tracking control strategy for nonlinear systems subject to input quantization and actuator faults, integrating prescribed performance control (PPC) with finite‐time control (FTC). Firstly, the prescribed performance function is used to ensure that the tracking error of the system meets the prescribed performance standards. Secondly, by utilizing the characteristics of quantized nonlinear sectors and the structural model of actuator faults, and allowing the total number of faults to be infinite, a novel finite‐time adaptive estimation technique can be devised to handle the effects caused by actuator faults and quantized inputs. Based on this, an adaptive finite‐time tracking controller is designed via backstepping, multi‐dimensional Taylor network(MTN), quantized feedback, and finite‐time Lyapunov stability theory. The control strategy not only ensures that all signals in the closed‐loop system are semi‐globally practically finite‐time stable (SGPFS), but also that the tracking error of the system can meet the transient and steady‐state performance criteria within finite time. Finally, simulation results verify the effectiveness of the proposed control scheme. [ABSTRACT FROM AUTHOR]
ISSN:08906327
DOI:10.1002/acs.70000