Design of PID Controller Based on Echo State Network With Time-Varying Reservoir Parameter.

Abstract

In this article, a new design method based on the echo state network with time-varying reservoir parameter (TVRP-ESN) is proposed to optimize the proportional-integral-derivative (PID) controller parameters for a class of discrete-time systems with time delay. The TVRP-ESN can quickly obtain the PID controller parameters to meet the control performance of the system. According to the network learning and approximation ability of TVRP-ESN, the output weights and the reservoir parameters of TVRP-ESN can be synchronously updated, and then the TVRP-ESN can improve the convergence speed of determining the PID controller parameters. In order to update the output weights and the reservoir parameters of TVRP-ESN, the partial derivative of the system output error is used. Three simulation examples are used to show the effectiveness of the proposed method.