A port controlled Hamiltonian formulation of the dynamics of distributed parameter systems is presented, which incorporates the energy flow through the boundary of the domain of the system, and which allows to represent the system as a boundary control Hamiltonian system. This port controlled Hamiltonian system is defined with respect to a Dirac structure associated with the exterior derivative...

We present an estimate for a class of unbounded perturbations of the generator of an exponentially stable semigroup. When this estimate is satisfied then the perturbed operator still generates an exponentially stable semigroup. For generators of holomorhic semigroups the class of allowed perturbations contains unbounded operators of the form HA”. with (Y < 4. The estimate is given in terms of t...

Natural vibration analysis of plates represents an important issue in engineering applications. In this paper, a new and simplify method for vibration analysis of circular and rectangular plates is presented. The design of an effective robust controller, which consistently attenuates transverse vibration of the plate caused by an external disturbance force, is given. The dynamics of the plate i...

This paper presents some technical solutions for monitoring of distributed parameter systems based on the new technologies of virtual instrumentation software architecture and intelligent ad-hoc wireless sensor networks. The virtual instrumentation allows the treatment of physical variables communicating with instruments as programs from a PC. The sensor networks may be placed in the areas of d...

This paper presents a finite element method based modeling and design of control for distributed parameter systems. First, models of distributed parameter systems in the form of lumped-input/distributed-output systems and structure of control loop are introduced. Next, modeling of temperature fields of the casting die as distributed parameter systems in preheating process is performed in COMSOL...

In systems and control theory dynamical systems described by partial differential equations are known as distributed parameter systems. For modelling and dynamical analysis of distributed parameter systems wide possibilities are offered by virtual software environments as ANSYS, COMSOL Multiphysics, ProCAST, MODFLOW, based on numerical solution of sets of partial differential equations by finit...