Stability of nonlinear continuous time systems with memoryless digital controllers

Author

Techakittiroj, Kittiphan ; Loparo, Kenneth A. ; Lin, Wei

Author_Institution

Fac. of Eng., Assumption Univ., Bangkok, Thailand

Volume

6

fYear

1999

fDate

1999

Firstpage

3985

Abstract

This paper presents results on the stability of hybrid systems which are continuous-time nonlinear systems with a digital controller. Existence and uniqueness results for quantized systems are presented. The main result of the paper shows that there exists a sampling time and quantization step such that the closed-loop system is uniformly and ultimately bounded given any arbitrary bound. An extension of the classical Lyapunov theorem is given to analyze this class of hybrid systems. The digital control scheme includes sampling (possibly multirate), quantization and reconstruction by a zero-order hold

Keywords

Lyapunov methods; closed loop systems; continuous time systems; digital control; memoryless systems; nonlinear systems; stability; Lyapunov method; Lyapunov theorem; closed-loop system; continuous time systems; hybrid systems; memoryless digital controllers; nonlinear systems; quantization; sampling; stability; zero-order hold; Continuous time systems; Control engineering; Control systems; Digital control; Nonlinear control systems; Nonlinear systems; Quantization; Sampling methods; Stability analysis; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.786270

Filename

786270