Uniform practical asymptotic stability of time-varying parameterized discrete-time cascades

Author

Nesic, Dragan ; Loria, Antonio

Author_Institution

Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia

Volume

6

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

5973

Abstract

We present two theorems on semiglobal practical asymptotic stability of parameterized time-varying discrete- time cascaded systems. This class of models arises naturally when one uses an approximate discrete-time model to design a stabilizing or tracking controller for a sampled-data plant. Even though our results parallel their continuous-time counterparts, the stability properties that are considered, the conditions that are imposed and the proof techniques that are used are tailored for approximate discrete-time systems and are technically different from those in the continuous-time context.

Keywords

approximation theory; asymptotic stability; cascade systems; control system synthesis; discrete time systems; time-varying systems; continuous-time context; discrete-time model; discrete-time systems; sampled-data plant; semiglobal practical asymptotic stability; stabilizing controller; time-varying parameterized discrete-time cascades; tracking controller; Asymptotic stability; Context modeling; Control nonlinearities; Control system synthesis; Design methodology; Digital control; Linear systems; Nonlinear control systems; Sampling methods; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1271966

Filename

1271966