A lower bound for limiting time delay for closed-loop stability ofan arbitrary SISO plant

Devanathan R.

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A lower bound for limiting time delay for closed-loop stability ofan arbitrary SISO plant

机译：限制SISO任意工厂的闭环稳定性的时间延迟的下限

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摘要

This correspondence is concerned with the time delay margin for closed-loop stability of a single-input single-output plant with time delay uncertainty. Since no restriction is placed on the stabilizing controller, the limiting value of time delay depends on the plant transfer function only. The approach, using a modified form of classical Nevanlinna-Pick interpolation theory, provides a lower bound for the limiting time delay given the plant open-loop poles and zeros only

机译：该对应关系涉及具有时延不确定性的单输入单输出设备的闭环稳定性的时延裕量。由于对稳定控制器没有限制，因此时间延迟的限制值仅取决于工厂传递函数。该方法使用经典Nevanlinna-Pick插值理论的改进形式，仅在设备开环极点和零点给定的情况下，为有限的时间延迟提供了下限

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《IEEE Transactions on Automatic Control》 |1995年第4期|p.717-721|共5页
作者
Devanathan R.;
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正文语种 eng
中图分类自动化系统;
关键词
closed loop systems; delay systems; poles and zeros; stability; transfer functions; uncertain systems; Nevanlinna-Pick interpolation theory; SISO plant; closed-loop stability; lower bound; poles and zeros; time delay uncertainty; transfer function;

机译：闭环系统;时滞系统;极点和零点;稳定性;传递函数;不确定系统;Nevanlinna-Pick插值理论;SISO工厂;闭环稳定性;下界;极点和零点;时滞不确定性;传递函数;

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专利

1. A lower bound for limiting time delay for closed-loop stability of an arbitrary SISO plant [J] . Devanathan R. IEEE Transactions on Automatic Control . 1995,第4期

机译：限制时间延迟的下限，以限制任意SISO工厂的闭环稳定性
2. Finite-time stability and stabilization of singular state-delay systems using improved estimation of a lower bound on a Lyapunov-like functional [J] . Stojanovic S. B., Debeljkovic D. Lj., Antic D. S. Bulletin of the Polish Academy of Sciences. Technical Sciences . 2015,第2期

机译：利用改进的Lyapunov型泛函的下界估计，奇异状态时滞系统的有限时间稳定性和稳定性
3. Finite-time stability and stabilization of singular state-delay systems using improved estimation of a lower bound on a Lyapunov-like functional [J] . D.Lj. Debeljkovic, D.S. Antic, S.B. Stojanovic Bulletin of the Polish Academy of Sciences. Technical Sciences . 2015,第2期

机译：利用改进的Lyapunov型泛函的下界估计，奇异状态时滞系统的有限时间稳定性和稳定性
4. A closed-loop LTI SISO system with an unstable open-loop plant can be stabilized for delays larger than its theoretical delay-margin upper bound [C] . Rifat Sipahi, Dongzuo Tian American Control Conference . 2017

机译：具有不稳定开环装置的闭环LTI SISO系统可以稳定用于大于其理论延迟余量上限的延迟
5. Security Mechanisms and Reliable Real-time Multicast and Memory Replication with Bounded Delays for Time-triggered Message-triggered Objects. [D] . Zhang, Zhen. 2011

机译：时间触发的消息触发对象的安全机制和可靠的实时多播和内存复制具有有限的延迟。
6. Stability Switches of Arbitrary High-Order Consensus in Multiagent Networks with Time Delays [O] . Bo Yang 2013

机译：时滞的多智能体网络中任意高阶共识的稳定性开关
7. Finite-time stability and stabilization of singular state-delay systems using improved estimation of a lower bound on a Lyapunov-like functional [O] . S.B. Stojanovic, D.Lj. Debeljkovic, D.S. Antic 2015

机译：利用Lyapunov样功能的改进估计，有限稳定性和奇异状态延迟系统的稳定性
8. Evaluation of Time Delay Requirements for Closed-Loop Stability Using Classical and Modern Methods [R] . Murphy, G. V. , Bailey, J. M. 1989

机译：用经典和现代方法评估闭环稳定性的时间延迟要求

A lower bound for limiting time delay for closed-loop stability ofan arbitrary SISO plant

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