Title :
H∞ filtering for nonuniformly sampled systems
Author :
Mustafa, Ghulam ; Chen, Tongwen
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada
Abstract :
This paper is concerned with the design of an H∞ filter for a discrete-time system, for which the measurement is sampled nonuniformly but the control is updated uniformly at a fast rate. It is shown that this type of system can be represented by a discrete-time Markovian jump system by modeling the nonuniform measurement using a Markov chain. A mode-dependent H∞ filter is constructed. Sufficient LMI conditions are derived to ensure stochastic stability and H∞ disturbance attenuation for the error system. The effectiveness of the proposed approach is demonstrated through a numerical example.
Keywords :
H∞ control; Markov processes; control system synthesis; discrete time systems; linear matrix inequalities; H∞ filtering; Markov chain; Markovian jump system; discrete-time system; nonuniformly sampled systems; Attenuation; Control systems; Filtering; Markov processes; Nonuniform sampling; Stability analysis; Velocity measurement; H∞ filtering; Markov jump systems; Nonuniform sampling; stochastic stability;
Conference_Titel :
Electrical and Computer Engineering (CCECE), 2010 23rd Canadian Conference on
Conference_Location :
Calgary, AB
Print_ISBN :
978-1-4244-5376-4
Electronic_ISBN :
0840-7789
DOI :
10.1109/CCECE.2010.5575126
