Research On Performance Assessment Method Of Control Loop Of Output Stochastic Distribution Control System

Controller design is the theme of the control loop. However, whether the control loop is running in a good condition which we expect, and the controller design is reasonable or not, is the main question which the performance assessment of the control loop needs to be answered. The control performance assessment has made a series of substantial achievements in Gaussian systems and deterministic systems.The main work of this paper is to study the performance assessment method of the output stochastic distribution control (SDC) system. It can be introduced from three aspects, including static performance and stochastic performance. Through the analysis with the similarities and differences in Gaussian systems and SDC systems, we finally build several innovative methods based on the developed fundamental theory in the field of output stochastic distribution system and the performance assessment methods developed in the general Gaussian system. The main contribution of this article can be summarized as follows: (1) Firstly, we consider the steady state performance of tracking control of the SDC system. We design a kind of tracking controller based on LMI and augmented control for the stochastic process. Then we propose a performance assessment characterize the steady-state tracking accuracy for the output PDF control system.(2) A new type of entropy named rational entropy (RE) was adopted for our research by analyze the defects of the minimum entropy controller based on Shannon. Then we can draw a theorem about the minimum RE with mean constraint analysis based on the PDF approximated by linear B-spline model. Then, we propose the performance assessment methods for characterizing the uncertainty performance of the SDC system.(3) Finally, a brief summary and outlook of performance assessment for the output SDC system was given.