Iterative learning control for non‐linear switched discrete‐time systems

On robust stability of switched homogeneous systems

“…) due to the property of dynamics (4). However condition (15) guarantees that x(t ) would never go outside from Ω i ⋆ before t = t i ⋆ 1 . □…”

Extended Kalman filters for fractional‐order nonlinear continuous‐time systems containing unknown parameters with correlated colored noises

“…With the development of modern physics, many scholars have found that real‐world systems can be well modeled using the fractional‐order calculus, especially some systems with viscoelastic and anomalous diffusive characteristics . Furthermore, due to the introduction of fractional‐order operators, the design of controller becomes more flexible, for instance, the fractional‐order sliding mode controllers, the fractional‐order iterative learning controllers, the fractional‐order fuzzy controllers, and fractional‐order PI λ D μ controllers . Therefore, it is necessary to study various methods of state estimation to obtain the state information of fractional‐order nonlinear systems for fractional‐order controllers.…”

Finite‐time boundedness and stabilisation of switched linear systems using event‐triggered controllers

“…As an important class of hybrid systems [15, 16], switched systems have been a hot topic in the field of control theory and applications, and a number of important results have been reported, see a survey [17] and some recent results including stability and stabilisation issues [18–20], switched non‐linear systems [21, 22], switched time‐delay systems [23–25], filter design [26, 27], iterative learning control [28] and asymptotic stability under sampled‐data and quantisation [29]. However, if an event‐triggering scheme is introduced into switched systems, how to guarantee the desired performance of the closed‐loop systems, though a fundamentally important problem, has not been fully addressed yet.…”