Title :
Reduced-order H∞ filter of singular Markovian jump systems with mode-dependent time delay
Author :
Li Li ; Yan Zhao ; Ben Niu
Author_Institution :
Sch. of Math. & Phys., Bohai Univ., Jinzhou, China
Abstract :
A reduced-order delay-dependent H∞ filter design method for singular Markovian jump systems with mode-dependent time delay is studied in this paper. The purpose is to design linear filters with specified order lower than the given system such that the filtering error system is regular, impulse free, mean-square exponentially stable, and satisfied a prescribed H∞ performance index. One major contribution of the paper is that sufficient conditions are characterized in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint. Moreover, an explicit parametrization of all desired reduced-order filters is presented when these inequalities are feasible.
Keywords :
H∞ filters; Markov processes; asymptotic stability; delays; linear matrix inequalities; performance index; reduced order systems; H∞ performance index; LMIs; coupling nonconvex rank constraint; filtering error system; linear filters; linear matrix inequalities; mean-square exponential stability; mode-dependent time delay; reduced-order delay-dependent H∞ filter design method; singular Markovian jump systems; sufficient conditions; Art; Couplings; Delay effects; Delays; Linear matrix inequalities; Nickel; Symmetric matrices;
Conference_Titel :
Mechatronics and Control (ICMC), 2014 International Conference on
Print_ISBN :
978-1-4799-2537-7
DOI :
10.1109/ICMC.2014.7231674