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Original Articles

Central suboptimal H filter design for linear time-varying systems with state and measurement delays

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Pages 411-421 | Received 08 Feb 2008, Accepted 03 Sep 2008, Published online: 16 Mar 2010

References

  • Basin , MV , Alcorta-Garcia , MA and Rodriguez-Gonzalez , JG . 2005 . Optimal Filtering and Control for Linear Systems with State and Observation Delays . International Journal of Robust and Nonlinear Control , 15 : 859 – 871 .
  • Basin , MV , Perez , J and Martinez-Zuniga , R . 2006 . Alternative Optimal Filter for Linear State delay Systems . International Journal of Adaptive Control and Signal Processing , 20 : 509 – 517 .
  • Basin , MV , Rodriguez-Gonzalez , J and Martinez-Zuniga , R . 2005 . Optimal Filtering for Linear State Delay Systems . IEEE Transactions on Automatic Control , AC-50 : 684 – 690 .
  • Boukas , EK and Liu , ZK . 2002 . Robust H ∞ Filtering for Polytopic Uncertain Time-delay Systems with Markov Jumps . Computers and Electrical Engineering , 28 : 171 – 193 .
  • de Souza , CE , Palhares , RM and Peres , PLD . 2001 . Robust H ∞ Filtering Design for Uncertain Linear Systems with Multiple Time-varying State Delays . IEEE Transactions on Signal Processing , 49 : 569 – 576 .
  • Doyle , JC , Glover , K , Khargonekar , PP and Francis , BA . 1989 . State-space Solutions to Standard H 2 and H ∞ Control Problems . IEEE Transactions on Automatic Control , 34 : 831 – 847 .
  • Fattou , A , Sename , O and Dion , J . (1998), ‘H ∞ Observer Design for Time-delay Systems’, in Proceedings of the 37th IEEE Conference on Decision and Control, 4545–4546
  • Fridman , E and Shaked , U . 1997 . On Regional Nonlinear H ∞ Filtering . Systems and Control Letters , 29 : 233 – 240 .
  • Fridman , E and Shaked , U . 2001 . A New H ∞ Filter Design for Linear Time-delay Systems . IEEE Transactions on Signal Processing , 49 ( 11 ) : 2839 – 2843 .
  • Fridman , E , Shaked , U and Xie , L . 2003 . Robust H ∞ Filtering of Linear Systems with Time-varying Delay . IEEE Transactions on Automatic Control , 48 : 159 – 165 .
  • Fridman , E and Shaked , U . 2004 . An Improved Delay-dependent H ∞ Filtering of Linear Neutral Systems . IEEE Transactions on Signal Processing , 52 : 668 – 673 .
  • Gao , H and Chen , TW . 2007 . H ∞ Estimation for Uncertain Systems with Limited Communication Capacity . IEEE Transactions on Automatic Control , 52 : 2070 – 2084 .
  • Gao , H , Lam , J , Xie , L and Wang , C . 2005a . New Approach to Mixed H 2/H ∞Filtering for Polytopic Discrete-time Systems . IEEE Transactions on Signal Processing , 53 : 3183 – 3192 .
  • Gao , H , Lam , J and Wang , C . 2005b . Induced L 2 and Generalized H 2 Filtering for Systems with Repeated Scalar Nonlinearities . IEEE Transactions on Signal Processing , 53 : 4215 – 4226 .
  • Gao , H and Wang , C . 2003 . Delay-dependent Robust H ∞ and L 2–L ∞ Filtering for a Class of Uncertain Nonlinear Time-delay Systems . IEEE Transactions on Automatic Control , 48 : 1661 – 1666 .
  • Gao , H and Wang , C . 2004 . A Delay-dependent Approach to Robust H ∞ Filtering for Uncertain Discrete-time State-delayed Systems . IEEE Transactions on Signal Processing , 52 : 1631 – 1640 .
  • Jazwinski , AH . 1970 . Stochastic Processes and Filtering Theory , New York : Academic Press .
  • Jin , SH and Park , JB . 2001 . Robust H ∞ Filtering for Polytopic Uncertain Systems via Convex Optimization . IEE Proceedings: Control Theory Applications , 148 : 55 – 59 .
  • Kim , JH . 2003 . Robust H ∞ and Guaranteed-cost Filter Designs for Uncertain Time-varying Delay Systems . International Journal of Systems Science , 34 : 485 – 493 .
  • Kwon , OM and Park , JH . 2006 . Robust H ∞ Filtering for Uncertain Time-delay Systems: Matrix Inequality Approach . Journal of Optimization Theory and Applications , 129 : 309 – 324 .
  • Mahmoud , MS , Shi , P and Ismail , A . 2003 . Robust H ∞ Filtering for a Class of Linear Jumping Discrete-time Delay Systems . Dynamics of Continuous, Discrete, and Impulsive Systems Series B , 10 : 647 – 662 .
  • Malek-Zavarei , M and Jamshidi , M . 1987 . Time-delay Systems: Analysis, Optimization and Applications , Amsterdam : North-Holland .
  • McEneaney , WM . 1998 . Robust H ∞ Filtering for Nonlinear Systems . Systems and Control Letters , 33 : 315 – 325 .
  • Nagpal , KM and Khargonekar , PP . 1991 . Filtering and Smoothing in an H ∞ Setting . IEEE Transactions on Automatic Control , 36 : 152 – 166 .
  • Nguang , SK and Fu. , MY . 1996 . Robust Nonlinear H ∞ Filtering . Automatica , 32 : 1195 – 1199 .
  • Pila , A , Shaked , U and de Souza , CE . 1999 . H ∞ Filtering for Continuous-time Linear Systems with Delay . IEEE Transactions on Automatic Control , 44 : 1412 – 1417 .
  • Pugachev , VS and Sinitsyn , IN . 2001 . Stochastic Systems: Theory and Applications , Sinapore : World Scientific .
  • Shaked , U . 1990 . H ∞ Minimum Error State Estimation of Linear Stationary Processes . IEEE Transactions on Automatic Control , 35 : 554 – 558 .
  • Wang , ZD , Yang , FW , Ho , DWC and Liu , XH . 2006 . Robust H ∞ Filtering for Stochastic Time-delay Systems with Missing Measurements . IEEE Transactions on Signal Processing , 54 : 2579 – 2587 .
  • Xu , S . 2002 . Robust H ∞ Filtering for a Class of Discrete-time Uncertain Nonlinear Systems with State Delay . IEEE Transactions on Circuits Systems. I. , 49 : 1853 – 1859 .
  • Xu , SY and Chen , TW . 2003a . Robust H ∞ Filtering for Uncertain Stochastic Time Delay Systems . Asian Journal of Control , 5 : 364 – 373 .
  • Xu , SY and Chen , TW . 2003b . Robust H ∞ Filtering for Uncertain Impulsive Stochastic Systems Under Sampled Measurements . Automatica , 39 : 509 – 516 .
  • Xu , SY , Chen , TW and Lam , J . 2003 . Robust H ∞ Filtering for Uncertain Markovian Jump Systems with Mode-dependent Delays . IEEE Transactions on Automatic Control , 48 : 900 – 907 .
  • Xu , SY , Lam , J , Gao , HJ and Zou , Y . 2005 . Robust H ∞ Filtering for Uncertain Discrete Stochastic Systems with Time Delays . Circuits, Systems and Signal Processing , 24 : 753 – 770 .
  • Xu , S and van Dooren , PV . 2002 . Robust H ∞ Filtering for a Class of Nonlinear Systems with State Delay and Parameter Uncertainty . International Journal of Control , 75 : 766 – 774 .
  • Yaesh , I and Shaked , U . (1989), ‘Game Theory Approach to Optimal Linear Estimation in the Minimum H ∞ Norm Sense’, in Proceedings of the 28th IEEE Conference on Decision Control, pp. 421–425
  • Zhang , WH , Chen , BS and Tseng , CS . 2005 . Robust H ∞ Filtering for Nonlinear Stochastic Systems . IEEE Transactions on Signal Processing , 53 : 589 – 598 .
  • Zhang , HS , Feng , G , Duan , GR and Lu , X . 2006 . H ∞ Filtering for Multiple Time-delay Measurements . IEEE Transactions on Signal Processing , 54 : 1681 – 1688 .
  • Zhang , L , Shi , P , Wang , C and Gao , H . 2006 . Robust H ∞ Filtering for Switched Linear Discrete-time Systems with Polytopic Uncertainties . International Journal of Adaptive Control and Signal Processing , 20 : 291 – 304 .

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