Einladung zum Vortrag im Kolloquium Technische Kybernetik

A novel approach to linear modelling and linear control
of nonlinear systems

Dipl.-Ing. Tobias Schweickhardt

Institut für Systemtheorie und Regelungstechnik
Universität Stuttgart

    Zeit: Dienstag · 9. 5. 2006 · 16:00 Uhr
    Ort: Seminarraum 3.241 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen

Abstract

Methods for linear systems analysis and controller design are well developed while the state of the art in nonlinear controller design is far from reaching a similar level of generality and applicability. For mildly nonlinear systems, one can attempt to use a linear model and linear controller design methods, hoping that the nonlinear distortion is too small to destabilize the closed-loop system or to deteriorate the closed-loop performance.

In this work, we present a novel framework for deriving linear models for nonlinear systems (not necessarily equal to the state-space linearization) and for designing linear controllers for nonlinear systems so that stability of the nonlinear closed loop can be guaranteed. The approach builds on nonlinearity assessment techniques (nonlinearity measures) and ideas from robust control. A focal point is the desire to do all the analysis and synthesis in a given region of operation, i.e. in a predefined operating regime around a steady state, as global approximation of nonlinear systems by linear models is in most practical cases inadequate. The example of a nonlinear chemical reactor model shows the applicability of the proposed methods.

Biographical Information

Tobias Schweickhardt recieved the diploma (Dipl.-Ing.) in Engineering Cybernetics from the University of Stuttgart and the Masters degree (Diplôme ECP) in Engineering from the Ecole Centrale Paris, both in 2001. Since 2001 he has been Scientific Assistant and PhD student at the Institute for Systems Theory and Automatic Control at the University of Stuttgart. His research interests are nonlinearity assessment, control of nonlinear systems and optimal control.