Stability of distributed parameter systems with finite-dimensional controller-compensators using singular perturbations

Singular Perturbations of Finite Dimensional Gradient Flows

In this paper we give a description of the asymptotic behavior, as ε → 0, of the ε-gradient flow in the finite dimensional case. Under very general assumptions we prove that it converges to an evolution obtained by connecting some smooth branches of solutions to the equilibrium equation (slow dynamics) through some heteroclinic solutions of the gradient flow (fast dynamics).

Vibration Suppression with Approximate Finite Dimensional Compensators for Distributed Systems: Computational Methods and Experimental Results

Based on a distributed parameter model for vibrations, an approximate nite dimensional dynamic compensator is designed to suppress vibrations (multiple modes with a broad band of frequencies) of a circular plate with Kelvin-Voigt damping and clamped boundary conditions. The control is realized via piezoceramic patches bonded to the plate and is calculated from information available from several...

Identification of Finite-dimensional Models for Distributed-parameter Systems

This paper addresses the problem of obtaining finite dimensional models of distributedparameter systems from measurement data using system identification. The data are used to construct approximations of the solution and the forcing function in a finite dimensional space, which are expressed in terms of a finite element basis. A discrete time model is then identified based on the resulting fini...

a Simplified Model of Distributed Parameter Systems

A generalized simplified model for describing the dynamic behavior of distributed parameter systems is proposed. The various specific characteristics of gain and phase angle of distributed parameter systems are investigated from frequency response formulation and complex plane representation of the proposed simplified model. The complex plane investigation renders some important inequality cons...

Controller Design For Distributed Parameter Systems