Performance measure of switched control systems based on covariance tensor approach

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• 作者：Deng-Yin Jiang ; Li-Sheng Hu
• 关键词：Controller performance assessment ; covariance tensor approach ; higher ; order singular value decomposition ; switched systems
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：14
• 期：6
• 页码：1430-1446
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Control, Robotics, Mechatronics;
• 出版者：Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
• ISSN：2005-4092
• 卷排序：14

文摘

In this paper, controller performance measure is considered for switched systems. The covariance tensor-based method is proposed for the controller performance measure for this systems evolution with the discrete-valued switching dynamics and local models for continuous dynamics. We define a measurement tensor to construct the measured process outputs data, and employ the data processing technique of higher-order singular value decomposition. Applying the higher-order singular value decomposition, we can obtain the sets of singular values from the measurement tensor, which are used jointly to evaluate the controller performance of the overall switched systems significantly. We develop the covariance tensor-based performance assessment method for the multivariate switched control systems with characteristic information being mined from the measurement tensor and derive the calculation approach base on the sets of singular values from the measurement tensor. It is shown that by applying higher-order singular value decomposition for measured outputs tensor data, the performance assessment results can exactly reflect the controller performance under the overall dynamical process. Finally, two cases study of the numerical simulation examples and a typical industrial process system well demonstrate the effectiveness of the proposed method.