Design of controllers for linear parameter-varying systems by the gain scheduling technique

AbstractDesign of controllers for linear multi-input multi-output systems whose dynamics depend on a time-varying parameter is studied. Design algorithms for the state feedback control law based on the gain scheduling technique are proposed. State feedback control laws are designed so that one of the following goals is achieved: (i) the poles of the closed-loop system for all fixed parameter values are placed in a small neighborhood of a set of desired closed-loop poles; (ii) the stability of the closed-loop system for all fixed parameter values guarantees that the of the system (with the time-varying parameter), independent of the rate of change of the parameter. Rigorously justified and computationally appealing design algorithms are developed

On the boundary control of Kirchhoff's nonlinear string

In this paper we propose two new classes of controllers which stabilize Kirchhoff's nonlinear string by using boundary control techniques. We assume that the boundary displacement is the only available measurement. The classes of controllers proposed in this paper are related to the positive real controllers. One of the classes generalizes a special class of such stabilizing controllers which is already proposed in the literature and the other one is new. Copyright © 2007 IFAC

Self-Equalization of Energies of Solitons in Transmission Systems by Guiding Filters

In this paper, the regulating effect of guiding filters on the energies of solitons in wave-length division multiplexing (WDM) transmission systems is rigorously studied. More precisely, it is shown that guiding filters prevent the energies of solitons from decaying to zero in long distances. This goal is achieved by studying a mathematical model of the evolution of energies of solitons in transmission systems. The approach is mathematical and does not use numerical or experimental results available in the literature; nevertheless, it reaffirms such results.Comment: 20 page