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Use of uncertainty polytope to describe constraint processes with uncertain time-delay for robust model predictive control applications

机译:使用不确定性多面体描述具有不确定时间延迟的约束过程,用于鲁棒模型预测控制应用

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摘要

This paper studies the application of robust model predictive control (MPC) in a constraint process suffering from time-delay uncertainty. The process is described using a transfer function and sampled into a discrete model for computer control design. A polytope is firstly developed to describe the uncertain discrete model due to the process's time-delay uncertainty. Based on the proposed description, a linear matrix inequality (LMI) based MPC algorithm is employed and modified to design a robust controller for such a constraint process. In case studies, the effect of time-delay uncertainty on the control performance of a standard MPC algorithm is investigated, and the proposed description and the modified control algorithm are validated in the temperature control of a typical air-handling unit.
机译:本文研究了鲁棒模型预测控制(MPC)在时滞不确定性约束过程中的应用。使用传递函数描述该过程,并将其采样到用于计算机控制设计的离散模型中。首先开发一种多面体来描述由于过程的时延不确定性而导致的不确定离散模型。基于提出的描述,采用了基于线性矩阵不等式(LMI)的MPC算法并对其进行了修改,以设计用于这种约束过程的鲁棒控制器。在案例研究中,研究了时延不确定性对标准MPC算法控制性能的影响,并在典型的空气处理机组的温度控制中验证了所提出的描述和改进的控制算法。

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