LMI-based robust adaptive neural network control for Euler–Bernoulli beam with uncertain parameters and disturbances

LMI-based hybrid temporal-spatial differential control design for a class of Euler-Bernoulli beam system

“…It is worth pointing out that the proposed hybrid controller can successfully restrain the vibratory deformation of Euler-Bernoulli beam. In order to illustrate the superiority of the proposed controller, the traditional boundary controller based on the LMI technology 30 will be applied in the same model. Compared with the traditional controller, the proposed control strategy can quickly restrain the vibratory deformations regardless of in any different positions, which are shown in Figure 5.…”

“…The aim of this work is to design a hybrid temporal-spatial differential controller, which is derived by applying Lyapunov’s direct method and linear matrix inequality (LMI) technology. Compared with the existing results, this paper has potentially achieved the following contributions: a) The proposed control design approach is based on the original Euler-Bernoulli beam model, which can overcome the deficiency of discretized system, 24,25,27 such as, nonlinear truncation order and spillover problem; b) In contrast to the distributed controller design results, 21,26 this paper presents a hybrid control strategy which is involved the spatial cooperation performance of actuators; c) Different with the boundary controller derived by LMI technology, 28–30 the hybrid controller can guarantee the stabilization of Euler-Bernoulli beam with in-domain and boundary actuators.…”