Adaptive control of hyperbolic systems: A CLF approach

Author

Igreja, J.M. ; Lemos, Joao M. ; Silva, R.N.

Author_Institution

INESC-ID, Lisbon, Portugal

fYear

2007

fDate

2-5 July 2007

Firstpage

2332

Lastpage

2339

Abstract

Adaptive nonlinear model based predictive control of distributed plants involving transport phenomena, described by hyperbolic partial differential equations are considered. The method proposed relies on a control Lyapunov function derived from Sontag´s formula and in a stable observer and tackles directly the infinite dimension class of systems without finite dimension approximations. The control of plug flow nonlinear systems (a tubular heat exchanger, a distributed collector solar filed and a tubular reactor) are presented as examples to illustrate the method.

Keywords

Lyapunov methods; adaptive control; hyperbolic equations; nonlinear control systems; observers; partial differential equations; predictive control; CLF approach; Sontag´s formula; adaptive control; adaptive nonlinear model; control Lyapunov function; distributed collector solar filed reactor; distributed plants; hyperbolic partial differential equations; hyperbolic systems; infinite dimension class; observer; plug flow nonlinear system control; predictive control; transport phenomena; tubular heat exchanger; tubular reactor; Adaptation models; Geometry; Lyapunov methods; Mathematical model; Observers; Stability analysis; Vectors; Adaptive control; Control Lyapunov functions; distributed processes; transport phenomena;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2007 European

Conference_Location

Kos

Print_ISBN

978-3-9524173-8-6

Type

conf

Filename

7068989