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Novel command-filtered Nussbaum design for continuous-time nonlinear dynamical systems with multiple unknown high-frequency gains
Yang, Yongliang1; Tang, Liqiang1; Zou, Wencheng2; Ahn, Choon Ki3
2022-12-02
Source PublicationNonlinear Dynamics
ISSN0924-090X
Volume111Issue:5Pages:4313-4323
Abstract

Command filters (CFs) have been successfully developed to reduce computational complexity and eliminate the effect of filtering errors on control performance through a compensating mechanism. However, to deal with multiple unknown high-frequency gains, the CF design remains an open problem due to the gap between the compensating mechanism design and unknown high-frequency gains. This paper bridges this gap by developing two additional adaptive laws that can contribute to the compensating mechanism design in novel CFs while considering the effect of unknown high-frequency gains. In the novel Nussbaum design, the influences of filtering errors are taken into account by introducing compensating signals. In contrast to existing filter-based Nussbaum methods, the compensating signals developed in this paper can handle multiple unknown high-frequency gains on the basis of the additional adaptive laws. The effect of filtering errors on the tracking performance is analyzed within the Lyapunov stability framework, and it is shown that the boundedness of all signals in the closed-loop system with the presented design can be guaranteed. Simulation results validate the efficacy of the proposed command-filtered Nussbaum design scheme.

KeywordMultiple Unknown High-frequency Gains Novel Command Filter Design Nussbaum-type Function Strict Feedback Nonlinear Systems
DOI10.1007/s11071-022-08112-z
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
WOS IDWOS:000893245900005
PublisherSPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
Scopus ID2-s2.0-85143228302
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Citation statistics
Document TypeJournal article
CollectionFaculty of Science and Technology
THE STATE KEY LABORATORY OF INTERNET OF THINGS FOR SMART CITY (UNIVERSITY OF MACAU)
Corresponding AuthorAhn, Choon Ki
Affiliation1.Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education, School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, China
2.State Key Laboratory of Internet of Things and Smart City, Faculty of Science and Technology, University of Macau, Taipa, 999078, Macao
3.School of Electrical Engineering, Korea University, Seoul, 136-701, South Korea
Recommended Citation
GB/T 7714
Yang, Yongliang,Tang, Liqiang,Zou, Wencheng,et al. Novel command-filtered Nussbaum design for continuous-time nonlinear dynamical systems with multiple unknown high-frequency gains[J]. Nonlinear Dynamics, 2022, 111(5), 4313-4323.
APA Yang, Yongliang., Tang, Liqiang., Zou, Wencheng., & Ahn, Choon Ki (2022). Novel command-filtered Nussbaum design for continuous-time nonlinear dynamical systems with multiple unknown high-frequency gains. Nonlinear Dynamics, 111(5), 4313-4323.
MLA Yang, Yongliang,et al."Novel command-filtered Nussbaum design for continuous-time nonlinear dynamical systems with multiple unknown high-frequency gains".Nonlinear Dynamics 111.5(2022):4313-4323.
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