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Adaptive feedback control for nonlinear triangular systems subject to uncertain asymmetric dead-zone input
作者姓名:Minghui Feng  Yanjie Chang  Zhiyu Duan  Xianfu Zhang
作者单位:1 School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
基金项目:The work was supported by the National Natural Science Foundation of China (Nos. 61973189, 62073190), the Research Fund for the Taishan Scholar Project of Shandong Province of China (No. ts20190905), and the Natural Science Foundation of Shandong Province of China (No. ZR2020ZD25).
摘    要:In this paper, an adaptive control strategy is proposed to investigate the issue of uncertain dead-zone input for nonlinear triangular systems with unknown nonlinearities. The considered system has no precise priori knowledge about the dead-zone feature and growth rate of nonlinearity. Firstly, a dynamic gain is introduced to deal with the unknown growth rate, and the dead-zone characteristic is processed by the adaptive estimation approach without constructing the dead-zone inverse. Then, by virtue of hyperbolic functions and sign functions, a new adaptive state feedback controller is proposed to guarantee the global boundedness of all signals in the closed-loop system. Moreover, the uncertain dead-zone input problem for nonlinear upper-triangular systems is solved by the similar control strategy. Finally, two simulation examples are given to verify the effectiveness of the control scheme.

关 键 词:Dead-zone  input  ·  Dynamic  gain  ·  Adaptive  estimation  ·  Global  boundedness

Adaptive feedback control for nonlinear triangular systems subject to uncertain asymmetric dead-zone input
Minghui Feng,Yanjie Chang,Zhiyu Duan,Xianfu Zhang.Adaptive feedback control for nonlinear triangular systems subject to uncertain asymmetric dead-zone input[J].Journal of Control Theory and Applications,2023,21(4):530-540.
Authors:Minghui Feng  Yanjie Chang  Zhiyu Duan  Xianfu Zhang
Affiliation:1 School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
Abstract:In this paper, an adaptive control strategy is proposed to investigate the issue of uncertain dead-zone input for nonlinear triangular systems with unknown nonlinearities. The considered system has no precise priori knowledge about the dead-zone feature and growth rate of nonlinearity. Firstly, a dynamic gain is introduced to deal with the unknown growth rate, and the dead-zone characteristic is processed by the adaptive estimation approach without constructing the dead-zone inverse. Then, by virtue of hyperbolic functions and sign functions, a new adaptive state feedback controller is proposed to guarantee the global boundedness of all signals in the closed-loop system. Moreover, the uncertain dead-zone input problem for nonlinear upper-triangular systems is solved by the similar control strategy. Finally, two simulation examples are given to verify the effectiveness of the control scheme.
Keywords:
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