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Low-complexity approach for full-state error prescribed performance control of nonlinear systems with actuator faults
College of Electronic and Information Engineering, National Key Laboratory of Autonomous Intelligent Unmanned Systems, Frontiers Science Center for Intelligent Autonomous Systems, Ministry of Education, Tongji University, 200092, Shanghai, China.
College of Electronic and Information Engineering, National Key Laboratory of Autonomous Intelligent Unmanned Systems, Frontiers Science Center for Intelligent Autonomous Systems, Ministry of Education, Tongji University, 200092, Shanghai, China.
School of Automation, Beijing Institute of Technology, 100081, Beijing, China.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2025 (English)In: International Journal of Dynamics and Control, ISSN 2195-268X, E-ISSN 2195-2698, Vol. 13, no 4, article id 143Article in journal (Refereed) Published
Abstract [en]

This paper considers the prescribed performance control of unknown multi-input multi-output nonlinear systems with actuator faults. By combining a special funnel function and a barrier function, based on a new coordinate transformation, a low-complexity control approach is proposed not only to guarantee the full-state errors converge into a desired steady-state error boundary in a predefined time, but also to tolerate time-varying actuator faults and achieve the asymptotic tracking, as opposed to the semi-global bounded error tracking results. Our design has a simple structure in the sense that repeatedly taking derivatives of virtual controllers is avoided, and by introducing a time-varying function for the gain design, function approximation methods are also unnecessary. It is applied to the two-degree-of-freedom helicopter system, which demonstrates a good performance in the transient and steady-state stages.

Place, publisher, year, edition, pages
Springer Nature , 2025. Vol. 13, no 4, article id 143
Keywords [en]
Asymptotic tracking, Nonlinear system, Prescribed performance control
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-362716DOI: 10.1007/s40435-025-01645-2ISI: 001459824000004Scopus ID: 2-s2.0-105002660513OAI: oai:DiVA.org:kth-362716DiVA, id: diva2:1954158
Note

QC 20250424

Available from: 2025-04-23 Created: 2025-04-23 Last updated: 2025-04-24Bibliographically approved

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Hu, Xiaoming

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