Iterative learning control for discrete singular time-delay systems

Time-varying pilot factor–iterative learning control algorithm with control parameter learning ability

“…The reason for this situation is that the phase delay makes learning effect inaccurate. Phase delay is a common phenomenon in control systems (Deng et al, 2019; Gu et al, 2019; Wang et al, 2019a), which means that the output signal of the system is always delayed compared with the input signal. This is the nature of the system itself, and some scholars have begun to study the system delay in iterative learning algorithms (Liang et al, 2018; Wang et al, 2019b).…”

Robust iterative learning control for random switched singular systems in time domain

“…17 Owing to its simple design and only requiring less dynamic characteristic knowledge and online calculation, there have been fruitful research results through near three decades of development since the algorithm was put forward. [18][19][20][21][22][23][24][25][26][27][28][29] Most of these results are neither switched systems nor singular systems. [18][19][20][21][22] Since the iterative learning control method has the above advantages, this method is widely used in various fields.…”

“…[34][35][36] In recent years, many achievements have been made in the research of iterative learning control for switched systems and singular systems. [23][24][25][26][27][28][29] For example, for switched systems with arbitrary switched rules, Bu et al 23 gave the convergence conditions of derivativetype iterative learning control algorithm, and realized the complete tracking of the system output to the desired trajectory in a finite time interval. For fractional-order linear continuous-time switched systems with noise disturbance, Zhang and Peng 24 proposed a fractional-order iterative learning control algorithm and gave sufficient conditions of the convergence of the algorithm.…”

Iterative learning control for time-delay non-linear DPS hyperbolic type

“…After Arimoto introduced the theory of iterative learning control in 1984, the research of ILC has become a subject of focus in the field of controllers, conducive research advancement has been made in theory and application. ILC has been used to track a determined target in many systems [13,11,12] including distributed parameter systems or partial differential systems [14,15], partial difference systems [16][17][18], and the delay systems [19][20][21][22][23][24][25]. In [19], the authors considerers the PD-type iterative learning control method for a class of nonlinear time-delay systems.…”

“…In [23], the authors study the problem of iterative learning control for switched singular time-delay systems, where the system's rules are switched during a repetitive in a fixed time interval. In [24], the ILC issue is examined for a class of singular time-delay discrete systems. Furthermore, a new iterative learning control algorithm was proposed in [25] for nonlinear time-delay systems with unknown time-varying parameters.…”