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arXiv 2104.10352eess.SYcs.SYmath.OC
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离散时间非线性系统的控制收缩度量综合

Control Contraction Metric Synthesis for Discrete-time Nonlinear Systems

Lai Wei, Ryan Mccloy, Jie Bao

摘要:

柔性制造已成为现代化工生产的发展趋势。柔性制造的基本特征之一是跟踪随时间变化的目标轨迹(例如产品的多样性和数量)。一个可能的工具,以实现随时间变化的目标是收缩理论。然而,收缩理论是针对连续时间系统发展起来的,缺乏针对离散时间系统的分析和综合工具。本文开发了一种系统的方法,离散时间收缩分析和控制综合使用离散时间控制收缩矩阵(DCCM),可以使用平方和(SOS)编程实现。所提出的方法是证明说明性的例子。

英文摘要:

Flexible manufacturing has been the trend in the area of the modern chemical process nowadays. One of the essential characteristics of flexible manufacturing is to track time-varying target trajectories (e.g. diversity and quantity of products). A possible tool to achieve time-varying targets is contraction theory. However, the contraction theory was developed for continuous time systems and there lacks analysis and synthesis tools for discrete-time systems. This article develops a systematic approach to discrete-time contraction analysis and control synthesis using Discrete-time Control Contraction Metrics (DCCM) which can be implemented using Sum of Square (SOS) programming. The proposed approach is demonstrated by illustrative example.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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