Sliding-mode surface-based fixed-time adaptive critic tracking control for zero-sum game of switched nonlinear systems

IF 5.4 3区材料科学 Q2 CHEMISTRY, PHYSICAL

ACS Applied Energy Materials Pub Date : 2024-09-28 DOI:10.1016/j.matcom.2024.09.025

Minggang Liu , Ning Xu , Ben Niu , Naif D. Alotaibi

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Abstract

In this paper, the issue of sliding-mode surface (SMS)-based fixed-time adaptive tracking control under the framework of critic network is considered for the zero-sum game of switched nonlinear systems. Firstly, the tracking error and reference trajectory are combined to construct an augmented system, which transforms the optimal tracking control issue into a basic optimal regulation issue. Meanwhile, sliding mode control technology is introduced to improve the robustness and response speed of the system. Subsequently, a special cost function associated with SMS is developed to find a series of optimal control strategies. Besides, the numerical solution of a Hamilton-Jacobi-Isaacs equation is acquired based on a single-critic network architecture. Then, convergence of the tracking error in fixed time and boundedness of the closed-loop signals are strictly proved via the fixed-time stability theory. Finally, the feasibility and optimality of the developed control scheme are verified by two simulation examples.

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开关非线性系统零和博弈的基于滑模曲面的固定时间自适应批判跟踪控制

本文针对开关非线性系统的零和博弈，在批判网络框架下考虑了基于滑模曲面（SMS）的固定时间自适应跟踪控制问题。首先，将跟踪误差和参考轨迹结合起来构建一个增强系统，从而将最优跟踪控制问题转化为基本的最优调节问题。同时，引入滑模控制技术，提高系统的鲁棒性和响应速度。随后，建立了与 SMS 相关的特殊成本函数，从而找到了一系列最优控制策略。此外，基于单批判网络结构，获得了汉密尔顿-雅各比-伊萨克方程的数值解。然后，通过定时稳定性理论严格证明了固定时间内跟踪误差的收敛性和闭环信号的有界性。最后，通过两个仿真实例验证了所开发控制方案的可行性和最优性。

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

ACS Applied Energy Materials Materials Science-Materials Chemistry

CiteScore

10.30

自引率

6.20%

发文量

1368

期刊介绍： ACS Applied Energy Materials is an interdisciplinary journal publishing original research covering all aspects of materials, engineering, chemistry, physics and biology relevant to energy conversion and storage. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important energy applications.