References
- Anderson , BDO and Moore , JB . 1979 . Optimal Filtering , Englewood Cliffs, NJ : Prentice Hall .
- Barbosa , KA , de Souza , CE and Trofino , A . 2005 . Robust ℋ2 Filtering for Uncertain Linear Systems: LMI Based Methods with Parametric Lyapunov Functions . Systems and Control Letters , 54 : 251 – 262 .
- Boyd , SP , El Ghaoui , L , Feron , E and Balakrishnan , V . 1994 . Linear Matrix Inequalities in System and Control Theory , Philadelphia, PA : SIAM .
- Geromel , JC . 1999 . Optimal Linear Filtering Under Parameter Uncertainty . IEEE Transactions on Signal Processing , 47 : 168 – 175 .
- Geromel , JC , de Oliveira , MC and Bernussou , J . 2002 . Robust Filtering of Discrete-time Linear Systems with Parameter Dependent Lyapunov Functions . SIAM Journal of Control and Optimization , 41 : 700 – 711 .
- Geromel , JC and Korogui , RH . 2008 . ℋ2 Robust Filter Design with Performance Certificate via Convex Programming . Automatica , 44 : 937 – 948 .
- Geromel , JC and Regis Filho , LAV . 2006 . ℋ2 Optimal Robust Filtering . European Journal of Control , 12 : 30 – 39 .
- Hoang , NT , Tuan , HD , Apkarian , P and Hosoe , S . 2004 . Robust Filtering for Discrete Nonlinear Fractional Transformation Systems . IEEE Transactions on Circuits and Systems-II: Express Briefs , 51 : 587 – 592 .
- Iwasaki , T and Hara , S . 1998 . Well-posedness of Feedback Systems: Insights into Exact Robustness Analysis and Approximate Computations . IEEE Transactions on Automatic Control , 43 : 619 – 630 .
- Jain , NB . 1975 . Guaranteed Error Estimation in Uncertain Systems . IEEE Transactions on Automatic Control , 20 : 230 – 232 .
- Korogui , RH and Geromel , JC . Robust ℋ2 Filtering for Continuous-time Systems with Linear Fractional Representation . Proceedings of the 17th IFAC World Congress . Seoul, South Korea. pp. 2675 – 2680 .
- Korogui , RH and Geromel , JC . Robust ℋ2 Filtering for Discrete LTI Systems with Linear Fractional Representation . Proceedings of the 47th IEEE Conference on Decision and Control . Cancun, Mexico. pp. 1902 – 1907 .
- Martin , CJ and Mintz , M . 1983 . Robust Filtering and Prediction for Linear Systems with Uncertain Dynamics: A Game-theoretic Approach . IEEE Transactions on Automatic Control , 28 : 888 – 896 .
- Matick , RE . 1969 . Transmission Lines for Digital and Communication Networks , New York, NY : McGraw-Hill .
- Moheimani , SOR , Savikin , AV and Petersen , IR . 1998 . Robust Filtering, Prediction, Smoothing, and Observability of Uncertain Systems . IEEE Transactions on Circuits and Systems part I: Fundamental Theory and Applications , 45 : 446 – 457 .
- Rockafellar , R . 1970 . Convex Analysis , Princeton, NJ : Princeton University Press .
- Scherer , CW . 2005 . Relaxations for Robust Linear Matrix Inequality Problems with Verification for Exactness . SIAM Journal on Matrix Analysis and Applications , 27 : 365 – 395 .
- Scherer , CW and Köse , IE . Proceedings of the 45Th IEEE Confrence on Decision and Control . ‘Robust ℋ2 Estimation with Dynamic IQCs: A Convex Solution’ . 2008 . pp. 4746 – 4751 .
- Shaked , U , Xie , L and Soh , YC . 2001 . New Approachs to Robust Minimum Variance Filter Design . IEEE Transactions on Signal Processing , 49 : 2620 – 2629 .
- Sun , K and Packard , A . 2005 . Robust ℋ2 and ℋ∞ Filters for Uncertain LFT Systems . IEEE Transactions on Automatic Control , 50 : 715 – 720 .
- Theodor , Y and Shaked , U . 1996 . Robust Discrete-time Minimum Variance Filtering . IEEE Transactions on Signal Processing , 44 : 181 – 189 .
- Tuan , HD , Apkarian , P and Nguyen , TQ . 2003 . Robust Filtering for Uncertain Nonlinearly Parametrized Plants . IEEE Transactions on Signal Processing , 51 : 1806 – 1815 .
- Xie , LH and Soh , YC . 1994 . Robust Kalman Filtering for Uncertain Systems . Systems and Control Letters , 22 : 123 – 129 .