Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 30, Issue 12, Pages 5143-5151Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2022.3169850
Keywords
External disturbance; persistent dwell-time switching mechanism (PDTSM); sliding mode control (SMC); switched nonlinear systems
Funding
- National Natural Science Foundation of China [61873002, 62173001]
- Major Natural Science Foundation of Higher Education Institutions of Anhui Province [KJ2020ZD28]
- Open Project of China International Science and Technology Cooperation Base on Intelligent Equipment Manufacturing in Special Service Environment [ISTC2021KF04]
- Fundamental Research Funds for the Central Universities [2021ACOCP05]
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This article investigates the fuzzyH(infinity) sliding mode control problem for continuous-time switched nonlinear systems, and proposes a method to construct a switched integral sliding surface and sliding mode control law to achieve stability and performance requirements of the system. The effectiveness of the proposed method is validated by a numerical example.
In this article, the fuzzyH(infinity) sliding mode control problem for continuous-time switched nonlinear systems is investigated. The switching signal conforms to the persistent dwell-time switching mechanism. The first objective of this article is to construct a switched integral sliding surface that not only accommodates the switched nonlinear model, but ensures that the sliding mode dynamics are globally uniformly exponentially stable and have an H-infinity performance by the equivalent controller derived from the sliding surface. Another aim is to integrate the switched sliding mode control law to force the system trajectories to the sliding surface in a finite amount of time. Then, on the basis of the Lyapunov function technique, the specific form of the sliding mode control law gains is given first, and later the finite-time reachability of the sliding surface is ensured. Finally, the validity of the proposed switched sliding mode control method is validated by a numerical example.
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