On the simultaneous stabilization of discrete time systems

Author

Saif, Abdul-Wahid A.

Author_Institution

Syst. Eng. Dept., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia

fYear

2013

fDate

18-21 March 2013

Firstpage

1

Lastpage

7

Abstract

In this paper, the simultaneous stabilization problems for a collection of discrete-time systems is considered. Sufficient conditions for the existence of static output feedback, dynamic output feedback and observer based feedback controllers that simultaneously stabilizing a set of discrete time systems is obtained. Finally and H_∞ observer based control problem is formulated. All sufficient conditions are formulated as solution of an LMI problem. In the formulation of the LMI problems, the concept of matrix spectral norm and Lyapunov function is used.

Keywords

H^∞ control; Lyapunov methods; discrete time systems; feedback; linear matrix inequalities; stability; H_∞ observer; LMI problem; Lyapunov function; discrete time systems; dynamic output feedback controller; linear matrix inequality; matrix spectral norm; observer based feedback controller; simultaneous stabilization problem; static output feedback controller; Closed loop systems; Discrete-time systems; Linear matrix inequalities; Lyapunov methods; Observers; Output feedback; Uncertain systems; Discrete Time Systems; Linear Matrix Inequality; Output feedback; Simultaneous Stabilization; Uncertain Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Signals & Devices (SSD), 2013 10th International Multi-Conference on

Conference_Location

Hammamet

Print_ISBN

978-1-4673-6459-1

Electronic_ISBN

978-1-4673-6458-4

Type

conf

DOI

10.1109/SSD.2013.6564108

Filename

6564108