发表机构
Uppsala University(乌普萨拉大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文针对带延迟测量与控制信号的观测器线性系统,利用输出到输出增益框架,结合耗散性理论与Lyapunov-Krasovskii泛函推导延迟相关线性矩阵不等式条件,分析外部扰动影响,通过数值例验证方法适用性。
AI 中文摘要
通信延迟是网络化控制系统中固有的特性,可能会显著影响闭环性能。本文采用输出到输出增益(OOG)框架,研究了带有延迟测量和控制信号的基于观测器的线性系统中外部扰动的影响。通过利用耗散性理论和Lyapunov-Krasovskii泛函,推导了依赖于延迟的线性矩阵不等式条件,该条件为测量通道和执行通道具有独立延迟的系统提供了OOG的显式上界。此外,考虑了两类特殊的常延迟系统:Padé近似系统和有限维可约系统。数值例子说明了所提方法的适用性。
英文摘要
Communication delays are inherent in networked control systems and may significantly affect closed-loop performance. This paper investigates the impact of external perturbations in observer-based linear systems with delayed measurements and control signals using the output-to-output gain (OOG) framework. By employing dissipativity theory and Lyapunov--Krasovskii functionals, delay-dependent linear matrix inequality conditions are derived that provide explicit upper bounds on the OOG for systems with independent delays in measurement and actuation channels. In addition, two special classes of constant-delay systems are considered: Padé-approximated systems and finite-dimension reducible systems. Numerical examples illustrate the applicability of the proposed approaches