Adaptive Neural Digital Control of Hysteretic Systems With Implicit Inverse Compensator and Its Application on Magnetostrictive Actuator

Hysteresis is a complex nonlinear effect in smart materials-based actuators, which degrades the positioning performance of the actuator, especially when the hysteresis shows asymmetric characteristics. In order to mitigate the asymmetric hysteresis effect, an adaptive neural digital dynamic surface control (DSC) scheme with the implicit inverse compensator is developed in this article. The implicit inverse compensator for the purpose of compensating for the hysteresis effect is applied to find the compensation signal by searching the optimal control laws from the hysteresis output, which avoids the construction of the inverse hysteresis model. The adaptive neural digital controller is achieved by using a discrete-time neural network controller to realize the discretization of time and quantizing the control signal to realize the discretization of the amplitude. The adaptive neural digital controller ensures the semiglobally uniformly ultimately bounded (SUUB) of all signals in the closed-loop control system. The effectiveness of the proposed approach is validated via the magnetostrictive-actuated system.

Automated summary

Hysteresis is a complex nonlinear effect that can degrade the positioning performance of smart material-based actuators, especially when it exhibits asymmetric characteristics. To address this issue, an adaptive neural digital dynamic surface control scheme with an implicit inverse compensator is proposed in this article. The implicit inverse compensator is used to find the compensation signal by searching the optimal control laws from the hysteresis output, eliminating the need for an inverse hysteresis model. The adaptive neural digital controller ensures the semiglobally uniformly ultimately bounded (SUUB) behavior of all signals in the closed-loop control system.