This work is devoted to the design of boundary controls physical systems that are described by semilinear hyperbolic balance laws. A computational framework presented yields sufficient conditions for a control steer system towards desired state. The approach based on Lyapunov stability analysis and CWENO-type reconstruction.

In this paper, the general governing equations of three-dimensional vibrations of an Euler-Bernoulli Beam under influences of system dynamics are derived by the Hamiltonian method. Then two fundamental cases of a cantilever beam and a rotating beam are considered. The conventional methods for vibration suppression debit to expenses and make new problems such as control spillover because they ar...

This manuscript addresses trajectory tracking problem of autonomous underwater vehicles (AUVs) on the horizontal plane. Adaptive sliding mode control is employed in order to achieve a robust behavior against some uncertainty and ocean current disturbances, assuming that disturbance and its derivative are bounded by unknown boundary levels. The proposed approach is based on a dual layer adaptive...

In this paper, we provide an overview of some control synthesis methodologies for boundary systems (BCS) in port-Hamiltonian form. At first, it is shown how to design a state-feedback action able shape the energy function move its minimum at desired equilibrium, and achieve asymptotic stability via damping injection. Secondly, general conditions that linear regulator has satisfy have well-posed...