Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach
|Updated:2023-11-01
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Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach
Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach
Frontiers of Information Technology & Electronic Engineering(2023)
Affiliations:
1. College of Engineering, Bohai University,Liaoning,Jinzhou,China,121013
2. College of Mathematical Science, Bohai University,Liaoning,Jinzhou,China,121013
3. School of Information Science and Engineering, Shandong Normal University,Shandong,Jinan,China,250014
4. Faculty of Electronic Information and Engineering, Dalian University of Technology,Liaoning,Dalian,China,116024
5. Communication Systems and Networks Research Group, Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia
Zi-xuan Huang, Huan-qing Wang, Ben Niu, et al. Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach. [J/OL]. Frontiers of Information Technology & Electronic Engineering (2023)
DOI:
Zi-xuan Huang, Huan-qing Wang, Ben Niu, et al. Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach. [J/OL]. Frontiers of Information Technology & Electronic Engineering (2023) DOI: 10.1631/FITEE.2300408.
Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: A unified barrier function-based approach
a practical fixed-time adaptive fuzzy control strategy is investigated for uncertain nonlinear systems with time-varying asymmetric constraints and input quantization. To overcome the difficulties of designing controllers under the state constraints case
a unified barrier function approach is employed to construct a coordinate transformation that maps the original constrained system to be an equivalent unconstrained one
thus relaxing the time-varying asymmetric constraints upon system states and avoiding the feasibility check condition typically required in the traditional barrier Lyapunov function-based control approach. Meanwhile
the“explosion of complexity” problem in the traditional backstepping approach arising from repeatedly derivatives of virtual controllers is solved by using the command filter method. It is verified via the fixed-time Lyapunov stability criterion that the system output can track a desired signal within a small error range in a predetermined time
and all system states remain in the constraint range. Finally
a simulation example is offered to demonstrate the effectiveness of the proposed strategy.
关键词
Keywords
unified barrier function time-varying asymmetric state constraints fuzzy logic systems fixed-time control command filter