An LMI Approach for the Stabilization of Discrete-Time Delay Nonlinear Systems Using Backstepping

Author

Deolia, Vinay Kumar ; Purwar, Shubhi ; Sharma, T.N.

Author_Institution

Dept. of Electron. & Comm. Eng., G.L.A. Univ., Mathura, India

fYear

2012

fDate

11-13 May 2012

Firstpage

612

Lastpage

615

Abstract

In this paper, an-LMI approach is utilized for the stabilization of Discrete-Time Delay Nonlinear Systems (DTDNS). The delay provided is state-delay. The control criterion is derived in terms of linear matrix inequalities (LMI´s). The controller is designed by making use of back stepping technique. By choosing an appropriate Lyapunov function, some mathematical manipulations have been carried out to deduce simple LMI condition for asymptotic stabilization. The effectiveness and the applicability of the proposed control law is verified through simulation.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; delays; discrete time systems; function approximation; linear matrix inequalities; mathematical analysis; nonlinear control systems; LMI approach; Lyapunov function; asymptotic stabilization; backstepping technique; control criterion; control law; controller design; discrete-time delay nonlinear system; linear matrix inequalities; mathematical manipulations; state-delay; Asymptotic stability; Backstepping; Delay; Delay systems; Nonlinear systems; Stability analysis; Backstepping controller; Delay-independent stability; Discrete-Time delay nonlinear systems; Linear matrix inequality (LMI); Lyapunov stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Communication Systems and Network Technologies (CSNT), 2012 International Conference on

Conference_Location

Rajkot

Print_ISBN

978-1-4673-1538-8

Type

conf

DOI

10.1109/CSNT.2012.137

Filename

6200630