Title :
Robust filter design for linear systems with parametric uncertainties via unreliable transmission channels
Author :
Mahmoud, Magdi S.
Author_Institution :
Syst. Eng. Dept., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
Abstract :
A robust H∞ filter design problem for a class of uncertain discrete-time systems with possible missing measurements due to unreliable networked transmission channels is investigated. The stochastic variable, satisfying Bernoulli random binary distribution, is introduced in this work to model the missing phenomena and the corresponding filtering error dynamics with delay is subsequently induced. A set of sufficient conditions is provided for the existence of the desired filter and a robust filter design method is developed within the linear matrix inequality (LMI) framework. A numerical example is given to illustrate the effectiveness of the developed design method.
Keywords :
H∞ filters; delays; discrete time filters; linear matrix inequalities; linear systems; random processes; statistical distributions; stochastic processes; uncertain systems; Bernoulli random binary distribution; delay; filtering error dynamics; linear matrix inequality framework; linear system; missing phenomena; robust H∞ filter design problem; robust filter design method; stochastic variable; sufficient condition; uncertain discrete time system; unreliable networked transmission channels; unreliable transmission channels; Convex functions; Design methodology; Linear matrix inequalities; Robustness; Symmetric matrices; Uncertainty; Vectors; Filter design; Linear matrix inequality; Linear systems; Uncertainties; Unreliable transmission channels;
Conference_Titel :
Systems, Signals and Devices (SSD), 2012 9th International Multi-Conference on
Conference_Location :
Chemnitz
Print_ISBN :
978-1-4673-1590-6
Electronic_ISBN :
978-1-4673-1589-0
DOI :
10.1109/SSD.2012.6197899
