Stability of a class of 2-d output feedback control systems

Author

Izuta, Guido

Author_Institution

Yonezawa Women´´s Coll., Yonezawa

fYear

2007

fDate

7-10 Oct. 2007

Firstpage

2722

Lastpage

2726

Abstract

This paper is concerned with the asymptotic stability analysis of 2-dimensional (2-d) linear discrete systems with delay terms and such that the matrices of the dynamics (states) expressed in the state space representation can be transformed into diagonal matrices via the output feedback control. To accomplish it, we adopt the Lagrange method for solving the set of partial difference equations modeling the dynamics of the system, and analyse the conditions to guarantee the asymptotic stability. This approach allows us to establish explicit solutions to the system and understand the influence of the eigenvalues of the matrices on the stability of system. Finally, we stress that investigations of this kind is still a novelty to the best of author´s knowledge.

Keywords

asymptotic stability; control system analysis; delays; discrete systems; eigenvalues and eigenfunctions; feedback; linear systems; matrix algebra; partial differential equations; 2D output feedback control systems; Lagrange method; asymptotic stability analysis; delay; diagonal matrices; linear discrete systems; matrix eigenvalues; partial difference equations; state space representation; system dynamics; Asymptotic stability; Control systems; Delay systems; Difference equations; Eigenvalues and eigenfunctions; Lagrangian functions; Linear feedback control systems; Output feedback; State-space methods; Stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 2007. ISIC. IEEE International Conference on

Conference_Location

Montreal, Que.

Print_ISBN

978-1-4244-0990-7

Electronic_ISBN

978-1-4244-0991-4

Type

conf

DOI

10.1109/ICSMC.2007.4413761

Filename

4413761