An internal model controller design procedure for multivariable system based on the double‐decomposition

Abstract

A novel design procedure of internal model controller based on the Double-Decomposition (DD), which includes the Full Rank Decomposition (FRD) and Singular Value Decomposition (SVD), is proposed for the multivariable system with multiple time-delay plant. In the controller design process, the Reflexive Generalised Inverse Matrix (RGIM) based on FRD is used to replace the generalised inverse matrix to design the internal model controller; improved filter based on SVD is introduced into the design process. In the FRD process for a non-square system, the Effective Relative Gain Array (ERGA) is applied to select the linear independent column. After model reduction for the internal model controller, the expression of the controller is obtained. Then the square system and the non-square system are taken as examples. The simulation results show the effectiveness of the proposed approach for the multivariable system with the multiple time-delay plant.

LQG Benchmark Based Performance Assessment of IMC-PID Temperature Control System

“…The internal model control (IMC) in the control system design was established by Garcia et al and has been studied and applied widely. − With the continuous development and improvement, the study of IMC and other control algorithms can promote their development on the one hand and help to analyze other control algorithms on the other hand. , There is a corresponding relationship between the IMC and PID control such that clear analytical results can be obtained if the PID controller is converted into the IMC frame, which reduces the complexity of parameter tuning and randomness . Rivera et al first introduced the idea of IMC into the design of the PID controller and established the relationship between the filter parameters and the PID controller parameters.…”