Prescribed-time distributed optimization for multi-agent system subject to inequality constraints

IF 2.7 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS
Xiao-Wen Zhao, Chen-An Zhou, Zhi-Wei Liu, Qiang Lai, Ming-Feng Ge
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引用次数: 0

Abstract

This paper investigates the prescribed-time distributed optimization control problem of multi-agent system subject to inequality constraints over directed networks. The log-barrier penalty function method is utilized to cope with the effects of inequality constraints. First, the relationship between the original problem and the processed unconstrained optimization problem is presented. By means of the zero-gradient-sum method and the integral sliding mode technique, the controller is designed such that the state of each agent converges to a vicinity of the optimal solution in a specified time. The interior point theorem ensures that the inequality constraints always hold. Numerical example is provided to verify the effectiveness of the theoretical analysis.

不等式约束下多智能体系统的规定时间分布式优化
研究了有向网络上受不等式约束的多智能体系统的规定时间分布优化控制问题。采用对数障碍罚函数方法来处理不等式约束的影响。首先,给出了原问题与处理后的无约束优化问题之间的关系。利用零梯度和法和积分滑模技术设计了控制器,使每个智能体的状态在指定时间内收敛到最优解的附近。内点定理保证了不等式约束总是成立。通过数值算例验证了理论分析的有效性。
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来源期刊
Asian Journal of Control
Asian Journal of Control 工程技术-自动化与控制系统
CiteScore
4.80
自引率
25.00%
发文量
253
审稿时长
7.2 months
期刊介绍: The Asian Journal of Control, an Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) affiliated journal, is the first international journal originating from the Asia Pacific region. The Asian Journal of Control publishes papers on original theoretical and practical research and developments in the areas of control, involving all facets of control theory and its application. Published six times a year, the Journal aims to be a key platform for control communities throughout the world. The Journal provides a forum where control researchers and practitioners can exchange knowledge and experiences on the latest advances in the control areas, and plays an educational role for students and experienced researchers in other disciplines interested in this continually growing field. The scope of the journal is extensive. Topics include: The theory and design of control systems and components, encompassing: Robust and distributed control using geometric, optimal, stochastic and nonlinear methods Game theory and state estimation Adaptive control, including neural networks, learning, parameter estimation and system fault detection Artificial intelligence, fuzzy and expert systems Hierarchical and man-machine systems All parts of systems engineering which consider the reliability of components and systems Emerging application areas, such as: Robotics Mechatronics Computers for computer-aided design, manufacturing, and control of various industrial processes Space vehicles and aircraft, ships, and traffic Biomedical systems National economies Power systems Agriculture Natural resources.
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