LASSOに基づくデータ駆動型スパースGMDH-PID制御系の設計

抄録

This paper proposes 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. Although the method can reduce the amount of memory capacity and calculation costs, calculated coefficients in nonlinear functions may not stable due to the multicollinearity of input signals. In this research, instead of the least squares method, LASSO is employed 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 effectiveness of the proposed method is evaluated by simulation examples.