具有状态约束的随机系统的神经自适应优化控制:非仿射故障情况

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED
Tong Zhang, Yiyan Han, Ling Wang, Xin Wang
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引用次数: 0

摘要

研究了非仿射故障存在下具有状态约束的随机非线性系统的神经自适应最优控制问题。非仿射故障的存在对系统的稳定性和性能提出了相当大的挑战。为了解决这些挑战,在本文中,在标识-关键-参与者体系结构中设计了自适应神经网络(NN)控制方案,实现了未知动态的逼近以及虚拟和实际最优控制器的设计。此外,利用势垒李雅普诺夫函数(blf)在处理状态约束时确保稳定性,并引入巴特沃斯低通滤波器补偿高频噪声和非仿射非线性故障,增强系统的鲁棒性。在此基础上,提出了一种新的混合事件触发控制(HETC)策略,在优化资源利用的同时减少通信和计算需求。所提出的控制策略保证了闭环信号的有界性,并使所有状态变量保持在预定义的紧集中。最后,通过仿真结果验证了所提最优控制方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Neuro-adaptive optimized control for stochastic systems with state constraints: The non-affine faults case
This paper addresses the issue of neuro-adaptive optimal control for stochastic nonlinear systems with state constraints under the presence of non-affine faults. The presence of non-affine faults poses considerable challenges to the stability and performance of the system. To address these challenges, in this article, an adaptive neural network (NN) control scheme is devised within the identifier-critic-actor architecture, enabling the approximation of unknown dynamics and the design of both virtual and actual optimal controllers. In addition, Barrier Lyapunov Functions (BLFs) are utilized to ensure stability while handling state constraints, and a Butterworth low-pass filter is introduced to compensate for high-frequency noise and non-affine nonlinear faults, enhancing system robustness. Furthermore, a novel hybrid event-triggered control (HETC) strategy is proposed to reduce communication and computation demands while optimizing resource utilization. The suggested control strategy guarantees the boundedness of closed-loop signals and keeps all state variables within predefined compact sets. Lastly, the efficacy of the proposed optimal control method is demonstrated through simulation results.
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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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