Title :
Interval Observers for Time-Varying Discrete-Time Systems
Author :
Efimov, D. ; Perruquetti, W. ; Raissi, T. ; Zolghadri, Ali
Author_Institution :
INRIA-LNE, Villeneuve d´Ascq, France
Abstract :
This techical note deals with interval state observer design for time-varying discrete-time systems. The problem of a similarity transformation computation which connects a (time-varying) matrix and its nonnegative representation is studied. Three solutions are proposed: for a generic time-varying system, a system with positive state, and for a particular class of periodical systems. Numerical simulations are provided to demonstrate advantages of the developed techniques.
Keywords :
control system synthesis; discrete time systems; matrix algebra; observers; periodic control; time-varying systems; discrete time system; interval state observer design; nonnegative representation; periodical system; similarity transformation computation; time-varying matrix; time-varying system; Discrete-time systems; Eigenvalues and eigenfunctions; Estimation error; Observers; Symmetric matrices; Time-varying systems; Vectors; Discrete-time systems; observers; state estimation,;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2263936
