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Design of decoupling Smith control for multivariable system with time delays

ISSN号：1005-9784
期刊名称：Journal of Central South University of Technology
时间：2011.4.4
页码：473-478
分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置] TP273.4[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
作者机构：[1]School of Information Science and Engineering, Central South University, Changsha 410083, China
相关基金：Projects（60634020, 61074117） supported by the National Natural Science Foundation of China
相关项目：长流程生产过程多重大时滞系统特性分析和控制策略研究

关键词：多变量系统, 史密斯控制, 控制器设计, BUTTERWORTH滤波器, 时滞, Smith预估, 解耦矩阵, 去耦, multivariable process, time delay, Smith predictor, decoupling, robust stability

中文摘要：

为了解决 multivariable 的去耦控制问题，有时间的系统推迟，为有时间延期的 multivariable 系统的一个新去耦史密斯控制方法被建议。第一，基于 multivariable 系统的伴随矩阵，有时间的模型推迟的 decoupler 被介绍，并且 decoupled 模型被归结为延期由分析振幅频率和阶段频率特征建模的一阶的正时间。根据史密斯预言者结构的靠近环的典型方程，第二，比例集成(PI ) 控制器被设计为 Butterworth 过滤器跟随杆赋值的原则。用小获得的定理和 Nyquist 稳定性标准，最后，为柔韧的稳定性的足够、必要的条件与趋于增加的无常被分析，它能在实践经常被遇到。结果证明建议的方法为反应速度和负担骚乱拒绝性能有优势。

英文摘要：

In order to solve the decoupling control problem of multivariable system with time delays, a new decoupling Smith control method for multivariable system with time delays was proposed. Firstly, the decoupler based on the adjoint matrix of the multivariable system model with time delays was introduced, and the decoupled models were reduced to first-order plus time delay models by analyzing the amplitude-frequency and phase-frequency characteristics. Secondly, according to the closed-loop characteristic equation of Smith predictor structure, proportion integration （PI） controllers were designed following the principle of pole assignment for Butterworth filter. Finally, using small-gain theorem and Nyquist stability criterion, sufficient and necessary conditions for robust stability were analyzed with multiplicative uncertainties, which could be encountered frequently in practice. The result shows that the method proposed has superiority for response speed and load disturbance rejection performance.