Title :
Robust H∞ filter design for uncertain discrete-time state-delayed systems: an LMI approach
Author :
Palhares, Reinaldo Martinez ; de Souza, Carlos E. ; Peres, Pedro L D
Author_Institution :
Graduate Program in Electr. Eng., Pontifical Catholic Univ. of Minas Gerais, Belo Horizonte, Brazil
Abstract :
The problem of robust H∞ filtering for discrete-time uncertain linear systems with multiple state delays is addressed. The uncertain parameters are supposed to belong to a given convex bounded polyhedral domain. Sufficient conditions for the existence of a stable linear filter assuring stability and a prescribed H∞ performance for the filtering error system for all allowed uncertainties are established in terms of linear matrix inequalities. Efficient numerical algorithms can be used to solve the problem, as illustrated via an example
Keywords :
H∞ control; delay systems; discrete time systems; filtering theory; linear systems; matrix algebra; robust control; uncertain systems; H∞ performance; LMI approach; convex bounded polyhedral domain; discrete-time uncertain linear systems; filtering error system; linear matrix inequalities; multiple state delays; robust H∞ filter design; robust H∞ filtering; stable linear filter; sufficient conditions; uncertain discrete-time state-delayed systems; uncertain parameters; Attenuation; Delay; Filtering; Filters; Noise level; Noise measurement; Robustness; Signal processing; Stability; Symmetric matrices;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831274
