Practical fixed-time adaptive fuzzy control of uncertain nonlinear systems with time-varying asymmetric constraints: a unified barrier function based approach  

作　　者：Zixuan HUANG Huanqing WANG Ben NIU Xudong ZHAO Adil M.AHMAD 

机构地区：[1]College of Engineering,Bohai University,Jinzhou 121013,China [2]College of Mathematical Science,Bohai University,Jinzhou 121013,China [3]School of Information Science and Engineering,Shandong Normal University,Jinan 250014,China [4]Faculty of Electronic Information and Engineering,Dalian University of Technology,Dalian 116024,China [5]Communication Systems and Networks Research Group,Department of Information Technology,Faculty of Computing and Information Technology,King Abdulaziz University,Jeddah,Saudi Arabia

出　　处：《Frontiers of Information Technology & Electronic Engineering》2024年第9期1282-1294,共13页信息与电子工程前沿（英文版）

基　　金：Project supported by Institutional Fund Projects(No.IFPIP:131-611-1443)。

摘　　要：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, a unified barrier function approach is employed to construct a coordinate transformation that maps the original constrained system to 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 that all system states remain in the constraint range. Finally, two simulation examples are offered to demonstrate the effectiveness of the proposed strategy.

关 键 词：Unified barrier function Time-varying asymmetric state constraints Fuzzy logic systems Fixed-time control Command filter 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]