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Stability and control for systems with state and input time delays: Application to chemical processes

机译:具有状态和输入时间延迟的系统的稳定性和控制:在化学过程中的应用

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摘要

This paper is concerned with stability and control problems of systems with delayed states or delayed inputs respectively. Delay-dependent results for the two problems are derived using an integral quadratic constraint approach. For the stability problem, we consider systems with two independent state delays. For the control problem, we deal with systems with delayed state and delayed input. Conditions are provided to find the upper bounds for the delays in both cases and the controller gain matrix for the control problem using linear matrix inequality (LMI) technique. An application to a continuous stirred tank reactor is also addressed.
机译:本文分别关注具有延迟状态或输入延迟的系统的稳定性和控制问题。使用积分二次约束方法得出两个问题的时延相关结果。对于稳定性问题,我们考虑具有两个独立状态延迟的系统。对于控制问题,我们处理状态延迟和输入延迟的系统。使用线性矩阵不等式(LMI)技术提供了条件来找到两种情况下的延迟上限和控制问题的控制器增益矩阵。还解决了在连续搅拌釜反应器中的应用。

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