Abstract
This paper investigates the issue of event-triggered adaptive finite-time state-constrained control for multi-input multi-output uncertain nonlinear systems. To prevent asymmetric time-varying state constraints from being violated, a tan-type nonlinear mapping is established to transform the considered system into an equivalent “non-constrained” system. By employing a smooth switch function in the virtual control signals, the singularity in the traditional finite-time dynamic surface control can be avoided. Fuzzy logic systems are used to compensate for the unknown functions. A suitable event-triggering rule is introduced to determine when to transmit the control laws. Through Lyapunov analysis, the closed-loop system is proved to be semi-globally practical finite-time stable, and the state constraints are never violated. Simulations are provided to evaluate the effectiveness of the proposed approach.
摘要
研究了状态约束下多输入多输出不确定非线性系统的自适应有限时间事件触发控制问题. 为防止系统状态违反非对称时变约束, 建立tan型非线性映射函数, 将所考虑的系统转化为等价无约束系统. 在虚拟控制信号中引入光滑切换函数, 以避免传统有限时间动态面控制方法在零附近的奇异现象. 同时, 采用模糊逻辑系统补偿未知非线性函数. 引入合适的事件触发机制确定何时控制律更新. 利用李雅普诺夫稳定性理论分析, 证明闭环系统是半全局最终有限时间稳定的, 且不违反状态约束. 最后, 通过仿真实例验证了所设计控制方法的有效性.
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Yan WEI designed the research. Jun LUO processed the data. Huaicheng YAN drafted the manuscript. Yueying WANG helped organize the manuscript. Yan WEI and Yueying WANG revised and finalized the paper.
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Yan WEI, Jun LUO, Huaicheng YAN, and Yueying WANG declare that they have no conflict of interest.
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Project supported by the National Natural Science Foundation of China (Nos. 61973204 and 61703275)
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Wei, Y., Luo, J., Yan, H. et al. Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints. Front Inform Technol Electron Eng 22, 1610–1624 (2021). https://doi.org/10.1631/FITEE.2000692
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DOI: https://doi.org/10.1631/FITEE.2000692