Self-Triggering Based on Lyapunov with Adaptive Control Law for WNCS

Author

Pecker Marcosig, Ezequiel ; Felicioni, Flavia E. ; Zanini, Anibal

Author_Institution

Univ. de Buenos Aires (UBA), Buenos Aires, Argentina

Volume

12

Issue

7

fYear

2014

fDate

Oct. 2014

Firstpage

1242

Lastpage

1249

Abstract

This paper addresses the use of Lyapunov functions to self-triggering control implementation. In order to do this a condition, which comes from a sampling technique named Lyapunov sampling, is proposed. The results show the average sampling frequency reduction that can be assessed with this self-triggering method with respect to event and periodic sampling schemes. Using this to dynamically adjust sampling-time, a Lie-algebraic approach is considered to guaranteed closed-loop stability and performance. These results are particularly useful for wireless networked control systems.

Keywords

Lie algebras; Lyapunov methods; adaptive control; closed loop systems; discrete time systems; networked control systems; radio networks; sampling methods; telecommunication control; time-varying systems; Lie-algebraic approach; Lyapunov function; Lyapunov sampling; WNCS; adaptive control law; guaranteed closed-loop stability; periodic sampling scheme; sampling frequency reduction; sampling technique; sampling-time; self-triggering control implementation; self-triggering method; wireless networked control system; Adaptive control; Networked control systems; Silicon; Silicon compounds; Vectors; Wireless communication; Wireless sensor networks; Discrete-Time Switched Systems; Lyapunov Sampling; Resource-Constrained Systems; Wireless Networked Control Systems;

fLanguage

English

Journal_Title

Latin America Transactions, IEEE (Revista IEEE America Latina)

Publisher

ieee

ISSN

1548-0992

Type

jour

DOI

10.1109/TLA.2014.6948859

Filename

6948859