Linear Time-Variant Multivariable Feedback Control Loop Performance Assessment

Abstract

This paper is focusing on study of performance assessment methods of a kind of linear time-varying multi-input-multi-output (LTV MIMO) control systems which time delays can be decided. It defined a matrix factor named interactor matrix correspond to process delay in univariate control loops. Using this interactor matrix and normal multiplication, this paper put forward a set of systematic algorithm and process to set up feedback minimum variance (MV) benchmarking of LTV MIMO process. Taking account of particular characteristic of LTV systems, it is essential to take advantages of actual MV output but not interactor filter MV output to acquire MV benchmarking. In order to avoid the trouble of estimate interactor matrix and achieve accurate assessment, a LTV MOMO MV benchmarking upper bound is built. It can be obtained with process data and interactor matrix rank. Research on theory and simulation show the methods above can assess LTV MIMO process accurately and effectively.