Synthesis of positive controls for the global CLF stabilization of systems

Author

Horacio, L.C. ; Solis-Daun, Julio

Author_Institution

Math. Dept., Sonora Univ., Hermosillo, Mexico

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

656

Lastpage

660

Abstract

In this paper, we propose an explicit formula for bounded continuous feedback laws taking values in the interval U := [-r^-, r⁺] that renders an affine system globally asymptotically stable. The case of bounded positive feedback controls (r^- = 0) is also included. Additionally, the problem of designing a marginally robust control function is addressed.

Keywords

asymptotic stability; continuous systems; control system synthesis; feedback; nonlinear control systems; robust control; affine system globally asymptotically stable; bounded continuous feedback laws; bounded positive feedback controls; explicit formula; global CLF system stabilization; marginally robust control function; positive control synthesis; Adaptive control; Control system synthesis; Control systems; Feedback control; Humans; Insulin; Lyapunov method; Nonlinear systems; Robust control; State feedback; Nonlinear control; bounded feedback control; positive control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400363

Filename

5400363