IJCAS

In this paper, controller performance measure is considered for switched systems. The covariance tensorbased 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."

Keywords: Controller performance assessment, covariance tensor approach, higher-order singular value decomposition, switched systems.