Adaptive neural output feedback control for a class of switched non-linear systems with unknown backlash-like hysteresis of the actuator

Abstract

This paper investigates the problem of adaptive neural output feedback control for a class of switched non-linear systems, and the unknown backlash-like hysteresis of the actuator is also taken into consideration. First, neural networks are used to approximate the uncertain functions in the studied system. Second, a state-observer is proposed to estimate the system states. Finally, an adaptive neural output feedback control algorithm based on a backstepping technique is constructed; in addition, dynamic surface control is applied to eliminate the explosion in complexity caused by the backstepping technique. By using Lyapunov stability theory, it is proved that all the signals of the switched system are bounded under the proposed control scheme. The effectiveness of the proposed approach is further confirmed by simulation experiments.

Finite‐Time Observer‐Based Adaptive Control of Switched System with Unknown Backlash‐Like Hysteresis

“…α, c, and b are unknown constants with c > b. It follows from the analysis in [22,23,35] that the solution of system (2) is expressed as…”

“…To capture hysteresis dynamics and achieve precise control, many scholars have made efforts to eliminate its effect. e hysteresis models can be roughly divided into two classes in [16,17]: the operator-based hysteresis model [17][18][19] and the differential equation-based hysteresis model, such as Bouc-Wen model [20,21] and backlash-like model [22][23][24][25][26]. For instance, in [18], Mayergoyz described a new approach to the scalar Preisach model of hysteresis which emphasized its phenomenological nature and mathematical generality.…”

“…In [22], Ma et al dealt with adaptive control for a class of switched nonlinear systems preceded by unknown backlashlike hysteresis, where the hysteresis was modeled by a differential equation. Similarly, Li et al [23] investigated an adaptive neural output feedback control for a class of nonlinear systems with unknown backlash-like hysteresis of the actuator. Zhang and Lin [24] proposed a robust adaptive DSC control for a class of uncertain perturbed strict-feedback nonlinear systems preceded by unknown backlash-like hysteresis.…”

A fractional super-twisting control of electrically driven mechanical systems

“…Electromechanical systems are prone to a broad class of disturbances and dynamic uncertainties, (Das, 2018; Kim, et al 2018; Sun, et al 2018; Xie et al, 2019; Xu et al, 2017), which in most cases are neglected depending on the operational regime. However, for precision tasks some non-smooth effects may disrupt the system performance, if they are not actively compensated through the dynamic controller, for instance, backlash (Ahangarian-Abhari et al, 2018; Li and Yang, 2019; Tenreiro-Machado, 2013), dynamic friction effects (Huang and Chiu, 2009), and not necessarily integer-order differentiable disturbances due to input noise and mechanical vibrations (Loutridis and Trochidis, 2004). These complex phenomena are usually transmitted as non-smooth loads to the servo-electric drives.…”

An Enhanced Stabilizing Strategy for Switched Nonlinear Systems

“…Recently, an increased attention has been given to the examination of the class of nonlinear switched systems considered as a particular category of hybrid systems (Li & Yang, 2019;Niu et al, 2017). These systems can be examined as remarkable as special types of hybrid system classes that are theoretically have advantageous in the application (Chesi, 2018;Luk & Chesi, 2015).…”