Design and Application of a Database-Driven PID Controller based on Sparse Modeling

Abstract

This paper considers a group method of data handling based PID (GMDH-PID) controller using LASSO that is one of the sparse modeling methods. A database-driven PID (DD-PID) controller is one of the effective nonlinear PID controller design methods. However, some electrical control units in industrial systems cannot implement its algorithm because the DD-PID control scheme requires a large amount of memory capacity and high-performance processor. In this paper, a GMDH-PID controller that approximately expresses the behavior of the DD-PID controller by combinations of simple nonlinear functions is proposed to solve the above problem. The proposed method employs LASSO as a coefficient calculation method of the GMDH in which some coefficients can be calculated as zero in order to avoid the influence of the multicollinearity. The usefulness of the proposed method is evaluated by an experimental result of a helicopter model.