A hybrid control framework for systems with quantization

Author

Liberzon, Daniel

Author_Institution

Coordinated Sci. Lab., Univ. of Illinois, Urbana, IL, USA

Volume

2

fYear

2001

fDate

2001

Firstpage

1217

Abstract

This paper is concerned with global asymptotic stabilization of continuous-time systems subject to quantization. A hybrid control strategy originating in earlier work (D. Liberzon, 2000) relies on the possibility of making discrete online adjustments of quantizer parameters. We explore this method for general nonlinear systems with general types of quantizers affecting the state of the system or the control input. The analysis involves merging tools from Lyapunov stability, hybrid systems and input-to-state stability

Keywords

Lyapunov methods; asymptotic stability; continuous time systems; nonlinear control systems; online operation; quantisation (signal); Lyapunov stability; continuous-time systems; control input; discrete online parameter adjustments; general quantizer types; global asymptotic stabilization; hybrid control framework; hybrid systems; input-to-state stability; nonlinear systems; quantization; system state; Control systems; Convergence; Feedback control; Lyapunov method; Merging; Nonlinear control systems; Nonlinear systems; Pulse width modulation; Quantization; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.981051

Filename

981051