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| Adaptive feedback control for nonlinear triangular systems subject to uncertain asymmetric dead-zone input |
| MinghuiFeng1,YanjieChang1,ZhiyuDuan1,XianfuZhang1 |
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| (1 School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China) |
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| 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 |
| DOI：https://doi.org/10.1007/s11768-023-00140-3 |
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| 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). |
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| Adaptive feedback control for nonlinear triangular systems subject to uncertain asymmetric dead-zone input |
| Minghui Feng1,Yanjie Chang1,Zhiyu Duan1,Xianfu Zhang1 |
| (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. |
| Key words: Dead-zone input · Dynamic gain · Adaptive estimation · Global boundedness |
