The PI Control Method in the Input Multi-rate Digital Control System with Low Sample-rate Sensors

2019 34rd Youth Academic Annual Conference of Chinese Association of Automation (YAC) Pub Date : 2019-06-06 DOI:10.1109/YAC.2019.8787660

Jiuqiang Deng, Kang Nie, Qi Qiao, Wei Ren, Xi Zhou, Yao Mao

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Abstract

The low sample-rate of the sensors limit the control performance of the control system. The traditional control methods such as PI control method can provide little extra effect to improve the system's control property. Thus, the input multi-rate digital control system with PI controller is proposed and analyzed in this paper to improve the system's property, which adopts the low sample-rate sensors. The controlled object is discretized as an input multi-rate digital control system. We propose the design method of the multi-rate PI controller, which can be used in the input multi-rate digital control system. The Lyapunov stability criterion is used to guarantee the stabilization of the closed-loop input multi-rate digital control system. The Schur complement is utilized to solve the Linear Matrix Inequalities and to calculate the parameters of the proposed multi-rate PI controller. In the end, the simulations proved the validity of the proposed PI controller in the input multi-rate digital control system, which can help the system have a faster response speed.

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低采样率传感器输入多速率数字控制系统中的PI控制方法

传感器的低采样率限制了控制系统的控制性能。传统的控制方法如PI控制方法对提高系统的控制性能几乎没有额外的效果。为此，本文提出并分析了采用PI控制器的输入多速率数字控制系统，该系统采用低采样率传感器来改善系统的性能。被控对象离散化为输入多速率数字控制系统。提出了一种多速率PI控制器的设计方法，可用于输入多速率数字控制系统。采用李雅普诺夫稳定性判据来保证闭环输入多速率数字控制系统的稳定性。利用Schur补来求解线性矩阵不等式并计算所提出的多速率PI控制器的参数。最后，通过仿真验证了所提出的PI控制器在输入多速率数字控制系统中的有效性，使系统具有更快的响应速度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

2019 34rd Youth Academic Annual Conference of Chinese Association of Automation (YAC)

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