Analysis and LQ-Optimal Control of Distributed Parameter Systems: Application to convection-reaction processes - Softcover

Aksikas, Ilyasse

Softcover

ISBN 10: 3838354133 ISBN 13: 9783838354132

Publisher: LAP LAMBERT Academic Publishing, 2012

Synopsis

This thesis deals with the synthesis of optimal control laws with a view to regulate the temperature and the reactant concentration of a nonisothermal plug flow reactor model. Several tools of linear and semilinear infinite-dimensional system theory are extended and/or developed, and applied to this model. On the one hand, the concept of asymptotic stability is studied for a class of infinite-dimensional semilinear Banach state- space systems. Asymptotic stability criteria are established, which are based on the concept of strictly m-dissipative operator. This theory is applied to a nonisothermal plug flow reactor. On the other hand, the concept of optimal Linear-Quadratic (LQ) feedback is studied for class of infinite-dimensional linear systems. This theory is applied to a linearized plug flow reactor model in order to design an LQ optimal feedback controller. Then the resulting nonlinear closed-loop system performances are analyzed. Finally this control design strategy is extended to a large class of first-order hyperbolic PDE’s systems.

About this title

About the Author

Ilyasse Aksikas is a professor of mathematics at King Abdulaziz University, Saudi Arabia. He received a PhD in Applied Mathematics in 2005 from University of Louvain, Belgium. His main research interestis in the area of system and control theory, especially infinite-dimensional system theory, linear-quadratic optimal control.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• ISBN 10: 3838354133
• ISBN 13: 9783838354132
• Binding: Paperback
• Language: English
• Number of pages: 180