On the robustness analysis of triangular nonlinear systems: iISS and practical stability

Author

Chaillet, Antoine ; Loría, Antonio

Author_Institution

Supelec, Univ. Paris Sud, Gif-sur-Yvette

fYear

2009

fDate

23-26 March 2009

Firstpage

1

Lastpage

10

Abstract

This note synthesizes results obtained by the authors on the stability and robustness analysis of cascaded systems. It focuses on two properties of interest when dealing with perturbed systems, namely integral input-to-state stability and practical stability. We present sufficient conditions for which each of these notions is preserved under cascade interconnection. The obtained conditions are of a structural nature, which makes their use particularly easy in practice.

Keywords

cascade systems; control system analysis; nonlinear control systems; perturbation techniques; robust control; cascade interconnection; cascaded systems; integral input-to-state stability; interconnected dynamical system; perturbed systems; practical stability; robustness analysis; triangular nonlinear systems; Asymptotic stability; Control systems; Lyapunov method; Nonlinear systems; Robots; Robust stability; Signal analysis; Stability analysis; Sufficient conditions; Time varying systems; Stability and robustness analysis; cascades; interconnected dynamical systems; nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Signals and Devices, 2009. SSD '09. 6th International Multi-Conference on

Conference_Location

Djerba

Print_ISBN

978-1-4244-4345-1

Electronic_ISBN

978-1-4244-4346-8

Type

conf

DOI

10.1109/SSD.2009.4956704

Filename

4956704