DocumentCode :
3086155
Title :
A Computationally Lyapunov Nonlinear Gain Scheduling Control of Nonlinear Systems with Stability Guarantees
Author :
Jouili, Khalil ; Jerbi, Houssem
Author_Institution :
Lab. d´´Etude et de Commande Autom. des Processus (LECAP), Ecole Polytech. de Tunis, Tunis
fYear :
2009
fDate :
25-27 March 2009
Firstpage :
374
Lastpage :
379
Abstract :
The present work proposes an advanced gain scheduling controller synthesis approach which is based on the methodological theory of Lyapunov design. We exploit an original procedure to enlarge the domain of attraction of a nonlinear affine system based on the Zubov Theorem. Then we construct control Lyapunov functions to various operating points of the studied process. A Lyapunov-based control synthesis algorithm is used to construct a control law that guarantees stability and high precision along the desired trajectory. We demonstrate the performances of the control design procedure on a second order nonlinear chemical reactor CSTR model characterized by multiple operating points. A simulation study is developed to show the efficiency of the proposed method.
Keywords :
Lyapunov methods; control system synthesis; nonlinear control systems; scheduling; stability; Zubov theorem; computational Lyapunov nonlinear gain scheduling; gain scheduling controller synthesis; nonlinear affine system control; stability guarantee; Chemical reactors; Control design; Control system synthesis; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Process control; Processor scheduling; Stability; Control Lyapunov functions; Gain Scheduling; Stability region; Zubov´s method;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Modelling and Simulation, 2009. UKSIM '09. 11th International Conference on
Conference_Location :
Cambridge
Print_ISBN :
978-1-4244-3771-9
Electronic_ISBN :
978-0-7695-3593-7
Type :
conf
DOI :
10.1109/UKSIM.2009.68
Filename :
4809794
Link To Document :
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