Estimation-based event-triggered fixed-time fuzzy tracking control for high-order nonlinear systems

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2025-02-01 Epub Date: 2024-09-09 DOI:10.1016/j.amc.2024.129057
Junchang Zhai , Huanqing Wang , Yuping Qin , Hongxia Cui
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Abstract

This paper investigates adaptive-estimation-based dynamic event-triggered fuzzy tracking control scheme for high-order nonlinear systems in fixed-time interval. The growing assumptions of coexistence unknown nonlinear uncertainties are removed with the aid of fuzzy logic systems. Contrary to the existing results, an adaptive estimation tactic is formulated to estimate the severe coexistence uncertainties online such that no boundaries are needed for the adaptive parameters, despite approximation errors, unknown virtual control gains and time-varying disturbances. On this estimation mechanism, the virtual control gains have been relaxed to unknown, which is more applicable. In view of controller and actuator, the communication burden is reduced with the aid of dynamic event-triggered rule, and Zeno behavior can be prevented successfully during dynamic sampling and updating of the control signal. Moreover, the singularity problem has been conquered by using the inequality transformation technique and all signals are bounded in fixed-time interval. Finally, two examples are used to verify the feasibility and rationality.

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基于估计的高阶非线性系统事件触发固定时间模糊跟踪控制
本文针对固定时间间隔内的高阶非线性系统,研究了基于自适应估计的动态事件触发模糊跟踪控制方案。借助模糊逻辑系统,消除了共存未知非线性不确定性的增长假设。与现有成果不同的是,本文提出了一种自适应估算策略,用于在线估算严重共存的不确定性,这样,尽管存在近似误差、未知虚拟控制增益和时变干扰,自适应参数也无需边界。在这种估计机制中,虚拟控制增益被放宽为未知,这更加适用。从控制器和执行器的角度来看,借助动态事件触发规则减轻了通信负担,并在控制信号的动态采样和更新过程中成功防止了 Zeno 行为。此外,利用不等式变换技术克服了奇异性问题,所有信号在固定时间间隔内都是有界的。最后,通过两个实例验证了其可行性和合理性。
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来源期刊
CiteScore
7.90
自引率
10.00%
发文量
755
审稿时长
36 days
期刊介绍: Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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