Title :
Optimal control design for nonlinear systems
Author :
Khayati, Karim ; Jiang Zhu
Author_Institution :
Dept. of Mech. & Aerosp. Eng., R. Mil. Coll. of Canada, Kingston, ON, Canada
Abstract :
In this paper, we propose a modified approach of the infinite horizon optimal control for nonlinear systems. These systems are first expressed as formal power series in the indeterminate state variables. Then, the control design is based on Lyapunov functions (LF), vector power series (VPS) and the Kronecker product (KP) algebra. The asymtotic stability analysis and the domain of attraction (DA) of the given nonlinear statefeedback are discussed using the linear matrix inequality (LMI) formulation. Simulation results prove the effectiveness of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; indeterminancy; infinite horizon; linear matrix inequalities; nonlinear control systems; optimal control; state feedback; Kronecker product algebra; LMI; Lyapunov functions; asymptotic stability analysis; domain of attraction; formal power series; indeterminate state variables; infinite horizon optimal control; linear matrix inequality; nonlinear state feedback; nonlinear systems; optimal control design; vector power series; Asymptotic stability; Equations; Mathematical model; Optimal control; Stability criteria; Vectors;
Conference_Titel :
Control, Decision and Information Technologies (CoDIT), 2013 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4673-5547-6
DOI :
10.1109/CoDIT.2013.6689526
