Continuous fixed-time convergent controller for permanent-magnet synchronous motor with unbounded perturbations

Predefined-time stabilization of brushed direct current motor system affected by matched and unmatched disturbances and stochastic noises

“…The simulation results show that the designed control algorithms are capable of driving the states of the DC motor system to the origin in predefined-time, with control input magnitudes suitable for practical applications. The designed control algorithms present an improvement over the control algorithms proposed in the work by Basin and Avellaneda (2019); Basin et al (2020), enabling the control designer to assign the convergence time at will and achieving robustness with respect to unmatched deterministic disturbances and stochastic noises.…”

“…Although all of the aforementioned works try to overcome the problem of robustness, they do it from the point of view of finite- or fixed-time controllers. According to the work by Sánchez-Torres et al (2017), the problem of this type of controllers is that their convergence is dependent on initial conditions (finite-time controllers) or only an upper estimate of the convergence time can be obtained (fixed-time controllers), which might be significantly larger than the real convergence time (see, for example, Basin and Avellaneda (2019); Basin et al (2020)). A detailed review of finite- or fixed-time convergent control algorithms can be found in the work by Basin (2019).…”

Predefined-Time Control of Full-Scale 4D Model of Permanent-Magnet Synchronous Motor with Deterministic Disturbances and Stochastic Noises

“…Adaptive sensorless control laws for PMSMs of industrial robots are designed in [11,12], PMSM rotor position/speed estimators are proposed in [13,14], and a comprehensive review of various PMSM control techniques is provided in [15]. On the other hand, the PMSM performance might be adversely affected by uncertainties [16] and disturbances due to variations in external load [17], temperature, and/or magnetic saturation [18]. There are many techniques, including adaptive [19], model-predictive [20,21], and fault-tolerant ones [22,23], to counteract the disturbance influence.…”

“…On the other hand, although the convergence time of a fixed-time controller does not depend on the initial conditions, the designer can only calculate an upper estimate of the convergence time, which might be much larger than the real convergence time. For example, in [17], the calculated convergence time estimate is 7228 s, while the real convergence time is 114 s. Therefore, a control algorithm, whose performance is not affected by the initial conditions and also allows one to know precisely the true convergence time, is in great demand as well.…”

Predefined-time stabilization of permanent-magnet synchronous motor

“…Recently, many researchers have presented various advanced control strategies to efficiently control the PMSM systems such as linearization control (Zarchi et al, 2010), adaptive control (Ribeiro et al, 2007;Li and Liu, 2009), robust control (Baik et al, 2000;Nian and Deng, 2015;Wu and Zhang, 2018), sliding mode control (Qi et al, 2015;Wang and Wei, 2019;Xu et al, 2017), fixed-time convergent control (Basin et al, 2020), fractional-order control (Xie et al, 2019), fuzzy control (Mani et al, 2018), neural network control (Jon et al, 2017), and predictive control (Shengquan et al, 2020). Much attention has been paid to designing finite-time and fixed-time convergent control laws and estimating their convergence (settling) times.…”