Optimal tracking control for multi-player systems with irregular full-state constraints

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-19 DOI:10.1016/j.cnsns.2025.109295

Haoming Zou , Guoshan Zhang

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引用次数: 0

Abstract

This paper investigates the optimal tracking control problem for multi-player systems with irregular full-state constraints utilizing state-dependent transformation technique and adaptive dynamic programming (ADP). Firstly, the connection function, switching and decision function, and barrier function are designed to transform irregular full-state constraints problem into the stabilization problem of barrier function. Besides, a similar idea is employed for the objective trajectory. Next, using the newly generated system and the objective trajectory, an augmented system is established to reformulate the tracking problem as an optimal regulation problem. Then, a dynamic event-triggered control scheme using ADP-based critic neural network is utilized to obtain the optimal solution while conserving communication and computational resources. It is proven that all signals of the closed-loop system are uniformly ultimately bounded. Finally, the proposed method for addressing the aforementioned issues is validated through numerical simulation examples.

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具有不规则全状态约束的多玩家系统的最优跟踪控制

利用状态相关变换技术和自适应动态规划（ADP）研究了具有不规则全状态约束的多参与者系统的最优跟踪控制问题。首先，设计连接函数、切换决策函数和障碍函数，将不规则全状态约束问题转化为障碍函数的镇定问题；此外，对于目标轨迹也采用了类似的思想。然后，利用新生成的系统和目标轨迹，建立一个增强系统，将跟踪问题重新表述为最优调节问题。然后，利用基于adp的批评家神经网络的动态事件触发控制方案，在节省通信和计算资源的情况下获得最优解。证明了闭环系统的所有信号都是一致最终有界的。最后，通过数值仿真算例验证了所提方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.