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Robust H_∞ Control for Uncertain Markovian Jump Systems with Mode-dependent Distributed Delays


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Robust H_∞ Control for Uncertain Markovian Jump Systems with Mode-dependent Distributed Delays
ZHAO Huan-yuXU Sheng-yuanSHEN HaoSONG Xiao-na
School of Automation,NUST,Nanjing 210094,China
Markov processes robust control H∞ control output feedback linear matrix inequality distributed delays
This paper deals with the problem of robust H∞ output feedback control for uncertain systems with Markovian jumping parameters and mode-dependent distributed delays.The distributed delay appears in both the state and measurement equations,and the time delay is dependent on the mode which is a Markov process taking values in a finite set.Based on linear matrix inequality(LMI) approach,a sufficient condition is obtained which guarantees the closed-loop system to be robustly stochastically stable and satisfies a prescribed H∞ performance level.A sufficient condition for the existence of the output feedback controller is proposed.The controller parameters are obtained by solving LMI and applying cone complementarity linearization algorithm(CCL).A numerical example is presented to illustrate the effectiveness of the proposed methods.


[ 1] C ao Y Y, Lam J. RobustH ] contro l o f uncertainM arlovian jum p system s w ith tim e-de lay [ J]. IEEE T ranson Autom Con tr, 2000, 45( 1) : 77- 83.

[ 2] Xu S Y, Lam J, M ao X R. De lay-dependentH ] control and filter ing fo r uncerta inM arkov ian jum p system sw ith tim e-vary ing de lays[ J]. IEEE T rans on C ircu itsSyst) ?: Regu lar Papers, 2007, 54( 9): 2070- 2077.
[ 3] Boukas E K, L iu Z K. Output feedback robust stabil-ization of jump linear system w ith m ode-dependenttime-de lays[ A]. Proceedings of the Am er ican Contro lConference[ C ]. A rling ton, VA, USA: IEEE Press,2001. 4683- 4688.
[ 4] Xu S Y, Chen TW. H ] output feedback contro l for uncertain stochastic system s w ith tim e-vary ing de lays[ J].Autom atica, 2004, 40( 12): 2091- 2098.
[ 5] Xu S Y, Lam J, Zou Y. De lay-dependen t gua ranteedcost con tro l fo r uncerta in sy stem s w ith state and inputdelays[ J] . IEE Proc Contro l Theo ry App,l 2006,153( 3): 307- 313.
[ 6] X ie L, Fridm an E, Shaked U. RobustH ] contro l o fdistr ibuted delay system s w ith app lication to combustioncontro l[ J]. IEEE T rans on Autom Contr, 2001,46( 12): 1930- 1935.
[ 7] Xu S Y, Chen T W. RobustH ] output feedback control fo r uncerta in distributed de lay system s[ J]. EuropeanJournal o f Contro ,l 2003, 2( 9): 562- 570.
[ 8] Xu S Y, Chen T W. An LM I approach to theH ] filterdesign for uncerta in system s w ith distributed delays[ J].IEEE Trans on C ircuits Syst) ò : Express B riefs, 2004,51( 4): 195- 201.
[ 9] ChenW H, Xu J X, Guan Z H. Guaranteed cost control for uncerta inM a rkov ian jum p system s w ith m odedependenttim e-delays [ J ]. IEEE Trans on AutomContr, 2003, 48( 12) : 2270- 2276.
[ 10] Boukas E K. Sta tic output feedback con tro l for stochastichybrid system s: LM I approach[ J]. Autom at-ica, 2006, 42( 1): 183- 188.
[ 11] Ghaou i L E, Oustry F, A itRam iM. A cone com plementa rity linear ization a lgo rithm for static output- feedbackand related problem s[ J] . IEEE Trans on AutomContr, 1997, 42( 8) : 1171- 1176.


Last Update: 2012-11-19