Title :
New Iterative Learning Control Algorithm Based on Homotopy Extension Method for Nonlinear Systems
Author_Institution :
Dept. of Math., Tianjin Univ. of Finance & Econ., Tianjin, China
Abstract :
A new iterative learning control algorithm based on homotopy extension for nonlinear systems is presented. Homotopy extension methods are introduced in iterative learning control problem. The iterative process based on homotopy extension methods and Newton methods is derived. A new algorithm is proposed to wide the range of convergence. Sufficient conditions for the convergence of new algorithm are given and proved. The new algorithm based on homotopy extension has global convergence instead of local convergence of classical Newton-type methods.
Keywords :
Newton method; adaptive control; convergence of numerical methods; learning systems; nonlinear control systems; Newton method; convergence; homotopy extension method; iterative learning control algorithm; nonlinear system; Automatic control; Control systems; Convergence; Iterative algorithms; Iterative methods; Newton method; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Sufficient conditions; homotopy extension method; iterative learning control; nonlinear systems;
Conference_Titel :
Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on
Print_ISBN :
978-0-7695-3804-4
DOI :
10.1109/ICICTA.2009.204