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

fYear

2003

fDate

1-4 Sept. 2003

Firstpage

77

Lastpage

82

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;

fLanguage

English

Publisher

ieee

Conference_Titel

European Control Conference (ECC), 2003

Conference_Location

Cambridge, UK

Print_ISBN

978-3-9524173-7-9

Type

conf

Filename

7084934