The stabilization with time delay in observation and control represents extremely difficult mathematical challenges in distributed parameter systems control. It is well-known that the closed-loop stability achieved by some stabilizing output feedback laws is not robust for any small time delay. When this happens, it necessary to reconsider the stabilizing feedback control laws. We are concerned...

This paper considers the stabilization problem for a port-controlled Hamiltonian system subject to actuator saturation and input additive external disturbances. Conditions are identified under which a static output feedback law would achieve global asymptotic stabilization. Under some additional growth conditions on the nonlinear functions involved in the system, the same feedback law would als...

In this term project, we study the effects of finite communication rates in control problems. Traditionally, the communication channel between the plant and the controller is not modelled. This is because it is assumed that the outputs of the former (noisy or noiseless) are available completely and with infinite precision to the latter. In this work, we study systems where the link between the ...

We treat a surface finite element method that is based on the trace of a standard finite element space on a tetrahedral triangulation of an outer domain that contains a stationary 2D surface. This surface FEM is used to discretize partial differential equation on the surface. We demonstrate the performance of this method for stationary and time-dependent diffusion equations. For the stationary ...

This study investigates H∞ finite-time synchronization (HFTS) problems for a general class of chaotic systems with external disturbances. The HFTS includes two control objectives; one is the finite-time synchronization and the other is the H∞ minimization. Here, the finite-time synchronization means the finite-time stabilization of the error system between the master and slave chaotic systems, ...

aims: in biological wastewater treatment processes, a large amount of sludge is produced. stabilization of sludge is essential before disposal because of the risks to human health and environment. therefore, selecting an appropriate process for stabilization this sludge may efficiently decrease risks. the aim of this study was to examine the compound efficiency of the advanced fenton and ozonat...