Finite-time stabilization control of nonlinear systems with full-state constraints

IF 2.2 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS IET Control Theory and Applications Pub Date : 2024-04-06 DOI:10.1049/cth2.12655

Jianwen Liu, Xiao Yan, Lin Zhang, Fujin Jia, Ni Yang

引用次数: 0

Abstract

This paper studies the finite time stabilization control (FTSC) problem of nonlinear systems with unknown functions and full-state constraints (FSCs). A lemma dealing with unknown functions is put forward so that the assumptions and the “explosion of terms” (EOT) of backstepping are avoided. Compared with approximation algorithms, this algorithm can make the system states converge to the origin in a finite time. On the other hand, a new logarithmic constraint function is utilized to solve the drawback of barrier Lyapunov functions (BLFs). Then, combined with finite time control (FTC), an FTSC algorithm with FSCs is proposed. Finally, simulations of Chua's circuit system are given to verify the effectiveness and superiority of this algorithm. Compared with the approximation algorithm, this algorithm can theoretically make the states of Chua's circuit system to the origin in a finite time.

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具有全状态约束的非线性系统的有限时间稳定控制

本文研究了具有未知函数和全状态约束（FSC）的非线性系统的有限时间稳定控制（FTSC）问题。本文提出了一种处理未知函数的算式，从而避免了反步法的假设和 "项爆炸"（EOT）。与近似算法相比，该算法能在有限的时间内使系统状态收敛到原点。另一方面，利用新的对数约束函数解决了障碍李亚普诺夫函数（BLF）的缺点。然后，结合有限时间控制（FTC），提出了一种带有 FSC 的 FTSC 算法。最后，通过对 Chua 电路系统的仿真，验证了该算法的有效性和优越性。与近似算法相比，该算法理论上可以在有限时间内使蔡氏电路系统的状态到达原点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IET Control Theory and Applications 工程技术-工程：电子与电气

CiteScore

5.70

自引率

7.70%

发文量

167

审稿时长

5.1 months

期刊介绍： IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.