Title :
On practical input to state stabilization for nonlinear discrete-time systems: A dynamic programming approach
Author :
Huang, Shoudong ; James, M.R. ; Nesic, Dragan ; Dower, Peter
Author_Institution :
Dept. of Engineering, The Australian National University, ACT 0200, Australia
Abstract :
A novel technique for synthesizing dynamic state feedback controllers that achieve practical input to state stability (PISS) property for nonlinear discrete-time systems is presented. The PISS controller design for the original system is solved via an auxiliary l∞-bounded (LIB) robustness synthesis problem for an auxiliary system. A complete solution for the LIB synthesis problem has been presented recently in the literature. The obtained static state feedback LIB controller for the auxiliary system can be interpreted as a dynamic state feedback PISS controller for the original system. The obtained solution is in terms of a dynamic programming equation (or inequality).
Keywords :
Closed loop systems; Dynamic programming; Nonlinear systems; Robustness; Stability analysis; State feedback; Trajectory; Input to state stability (ISS); controller synthesis; dynamic programming; l∞ criteria; nonlinear robust control;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
