Nonovershooting Tracking Control for Nonlinear Pure-Feedback Systems

In this article, the conditions of ensuring nonovershooting tracking control (NOTC) for nonlinear pure-feedback systems (PFSs) are proposed. Presently, there are almost no results of guaranteed NOTC conditions for nonlinear PFSs. And the results in strict-feedback form are also very narrow. Based on...

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Bibliographic Details
Published in:IEEE transactions on systems, man, and cybernetics. Systems man, and cybernetics. Systems, 2024-12, p.1-9
Main Authors: Jia, Fujin, Zhu, Quanxin
Format: Article
Language:English
Subjects:
Backstepping
Closed loop systems
Control design
Control theory
Linear systems
Nonlinear systems
nonovershooting control
pure-feedback systems
Simulation
Sintering
Stability analysis
Transforms
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Summary:In this article, the conditions of ensuring nonovershooting tracking control (NOTC) for nonlinear pure-feedback systems (PFSs) are proposed. Presently, there are almost no results of guaranteed NOTC conditions for nonlinear PFSs. And the results in strict-feedback form are also very narrow. Based on these problems, this article obtains a more extensive conditions of NOTC for nonlinear PFSs. First, a controller is designed to make the closed-loop system (CLS) globally asymptotically stable, and a suitable CLS can be obtained through the designed controller. Then, by analyzing the CLS, the NOTC conditions of the first-order, second-order, and multiorder systems can be obtained, respectively. Finally, through the simulation results of two examples and comparing the simulation results of the existing algorithms, it is concluded that the algorithm in this article is effective and superior. In this article, for more general nonlinear PFSs, a wider range of NOTC conditions are obtained, and the obtained NOTC conditions are also suitable for strict-feedback form. Therefore, this algorithm reduces the conservatism.
ISSN:2168-2216
DOI:10.1109/TSMC.2024.3491312