Title :
A unifying approach of LTI discrete-time state observers by means of complementary matrices
Author :
Ploix, Stéphane ; Giuliani, Stéphane ; Ragot, José
Author_Institution :
Centre de Recherche en Autom., Inst. Nat. Polytech. de Lorraine, Vandoeourve-les-Nancy, France
fDate :
2/1/1999 12:00:00 AM
Abstract :
This paper deals with the generalization of state observers in the framework of LTI deterministic discrete-time systems using complementary matrix formalism. Four necessary and sufficient general conditions have been established in the design of any type of state observer. Furthermore, necessary sufficient intrinsic conditions have been deduced. Respecting these intrinsic conditions guarantees satisfaction of the preceding general conditions. An illustrative example is also included
Keywords :
control system analysis; discrete time systems; linear systems; matrix algebra; observers; complementary matrix; discrete-time systems; linear time invariant systems; necessary condition; state observers; sufficient condition; unification; Convergence; Cost function; Filtering; Filters; Frequency; Mathematical model; Noise measurement; Optimal control; Power system modeling; White noise;
Journal_Title :
Automatic Control, IEEE Transactions on
