LMI-based boundary and distributed control design for a flexible string subject to disturbance

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

“…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.…”

Boundary Control of a Vibrating String Subject to Input Saturation and Output Constraint

“…The literature of [28] investigated anti-disturbance strategies for guaranteeing the global stabilization of flexible cable string systems. In [29], linear matrix inequalities were employed to construct the distributed and boundary control for vibrating flexible string systems. In [30], boundary adaptive robust control for…”