A polyhedral approach to the stability analysis and feedback stabilization of networked control systems

Author

Athanasopoulos, Nikolaos ; Bitsoris, George ; Dritsas, Leonidas

Author_Institution

Control Syst. Lab., Univ. of Patras, Patras, Greece

fYear

2011

fDate

20-23 June 2011

Firstpage

1008

Lastpage

1013

Abstract

In this note, the stability analysis and control design of Networked Control Systems (NCS) with bounded transmission delays, constant and unknown or time varying, is investigated using polyhedral Lyapunov functions. First, conditions guaranteeing stability are formulated for the equivalent augmented discrete-time system with structured uncertainties. Then, algebraic conditions leading to the computation of a linear state feedback controller for a NCS with bounded time varying delays are established. Both the stability analysis and synthesis problem are reduced to linear programming methods, a welcome consequence stemming from the choice of polyhedral Lyapunov functions.

Keywords

Lyapunov methods; control system synthesis; delays; discrete time systems; linear programming; linear systems; networked control systems; stability; state feedback; time-varying systems; augmented discrete-time system; bounded time varying delays; feedback stabilization; linear programming methods; linear state feedback controller; networked control systems; polyhedral Lyapunov functions; stability analysis; transmission delays; Asymptotic stability; Delay; Eigenvalues and eigenfunctions; Lyapunov methods; Matrix decomposition; Stability analysis; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control & Automation (MED), 2011 19th Mediterranean Conference on

Conference_Location

Corfu

Print_ISBN

978-1-4577-0124-5

Type

conf

DOI

10.1109/MED.2011.5983214

Filename

5983214