Nested Saturated Control of Uncertain Complex Cascade Systems Using Mixed Saturation Levels

Meng Li; Zhigang Zeng

doi:10.1109/JAS.2023.124176

Volume 11 Issue 5

May 2024

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2024 > 11(5): 1163-1174

M. Li and Z. Zeng, “Nested saturated control of uncertain complex cascade systems using mixed saturation levels,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 5, pp. 1163–1174, May 2024. doi: 10.1109/JAS.2023.124176

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M. Li and Z. Zeng, “Nested saturated control of uncertain complex cascade systems using mixed saturation levels,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 5, pp. 1163–1174, May 2024. doi: 10.1109/JAS.2023.124176

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Nested Saturated Control of Uncertain Complex Cascade Systems Using Mixed Saturation Levels

doi: 10.1109/JAS.2023.124176

Meng Li^{,
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Zhigang Zeng^{,
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Funds: This work was supported in part by the National Natural Science Foundation of China (62203178, U1913602, 61936004), the National Key Rsearch and Development Program of China (2021ZD0201300), the China Postdoctoral Science Foundation (2021TQ0116), the Innovation Group Project of the National Natural Science Foundation of China (61821003), the Technology Innovation Project of Hubei Province of China (2019AEA171), and the 111 Project on Computational Intelligence and Intelligent Control (B18024)

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Author Bio:
Meng Li (Member, IEEE) receive the Ph.D. degree in control science and engineering from the School of Automation, Central South University, in 2020. He was a Visiting Ph.D. Student with the Department of Mechanical Engineering, University of Victoria, Canada, from 2019 to 2020. He is currently a Postdoctoral Researcher of control science and engineering with Wuhan National Laboratory for Optoelectronics, and also with the School of Artificial Intelligence and Automation, Huazhong University of Science and Technology. His research interests include uncertain nonlinear control systems, saturated control, and stability analysis of dynamic systems

Zhigang Zeng (Fellow, IEEE) received the Ph.D. degree in systems analysis and integration from Huazhong University of Science and Technology in 2003. He is currently a Professor with the School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, and also with the Key Laboratory of Image Processing and Intelligent Control of the Education Ministry of China. He has published over 300 international journal articles. His research interests include the theory of functional differential equations and differential equations with discontinuous right-hand sides, and their applications to dynamics of neural networks, memristive systems, and associative memories.Dr. Zeng has been a Member of the Editorial Board of Neural Networks since 2012, Cognitive Computation since 2010, and Applied Soft Computing since 2013. He was an Associate Editor of the IEEE Transactions on Neural Networks from 2010 to 2011, and the IEEE Transactions on Fuzzy Systems from 2016 to 2021. He has been an Associate Editor of the IEEE Transactions on Cybernetics since 2014
Corresponding author: Meng Li, e-mail: m_li@hust.edu.cn; Zhigang Zeng, e-mail: zgzeng@hust.edu.cn
Received Date: 2023-07-15
Revised Date: 2023-10-24
Accepted Date: 2023-12-16

Available Online: 2024-04-01

Abstract

Abstract

This study addresses the problem of global asymptotic stability for uncertain complex cascade systems composed of multiple integrator systems and non-strict feedforward nonlinear systems. To tackle the complexity inherent in such structures, a novel nested saturated control design is proposed that incorporates both constant saturation levels and state-dependent saturation levels. Specifically, a modified differentiable saturation function is proposed to facilitate the saturation reduction analysis of the uncertain complex cascade systems under the presence of mixed saturation levels. In addition, the design of modified differentiable saturation function will help to construct a hierarchical global convergence strategy to improve the robustness of control design scheme. Through calculation of relevant inequalities, time derivative of boundary surface and simple Lyapunov function, saturation reduction analysis and convergence analysis are carried out, and then a set of explicit parameter conditions are provided to ensure global asymptotic stability in the closed-loop systems. Finally, a simplified system of the mechanical model is presented to validate the effectiveness of the proposed method.
- Differentiable saturation functions,
- global stabilization analysis,
- mixed saturation levels,
- nested saturated control,
- uncertain complex cascade systems

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References(47)

References

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This paper has studied the problem of global asymptotic stability for uncertain complex cascade systems composed of multiple integrator systems and non-strict feedforward nonlinear systems
A novel nested saturated control design has been proposed that incorporates both constant saturation levels and state-dependent saturation levels
A modified differentiable saturation function is proposed to facilitate the saturation reduction analysis. The design of modified differentiable saturation function will help to construct a hierarchical global convergence strategy to improve the robustness of control design scheme
Through modified nested saturated control strategy, a set of explicit parameter conditions are provided to ensure global asymptotic stability in the closed-loop systems
This paper has presented a preliminary study of the global saturation stabilization problem for uncertain complex cascade systems and some exploration of the application of nested saturation control algorithm to a mechanical model

Nested Saturated Control of Uncertain Complex Cascade Systems Using Mixed Saturation Levels

doi: 10.1109/JAS.2023.124176

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通讯作者: 陈斌, bchen63@163.com

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