Partial state and unknown input estimation for time-delay systems

References

• Armstrong , ES and Tripp , JS . 1981 . An Application of Multivariable Design Techniques to the Control of the National Transonic Facility . NASA Technical Paper No. 1887, Langley Research Center, Hampton, VA ,
   Google Scholar
• Boutayeb , M , Darouach , M and Rafaralahy , H . 2002 . Generalized State-space Observers for Chaotic Synchronization and Secure Communication . IEEE Transactions on Circuits System , 49 : 345 – 349 .
   Web of Science ®Google Scholar
• Boyd , S , El Ghaoui , L , Feron , E and Balakrishnan , V . 1994 . Linear Matrix Inequalities in Systems and Control Theory , Philadelphia : SIAM .
   Google Scholar
• Corless , M and Tu , J . 1998 . State and Input Estimation for a Class of Uncertain Systems . Automatica , 34 : 757 – 764 .
   Web of Science ®Google Scholar
• Darouach , M . 2001 . Linear Functional Observers for Systems with Delays in State Variables . IEEE Transactions on Automatic Control , 46 : 491 – 496 . 2001
   Web of Science ®Google Scholar
• Darouach , M . 2007 . Unknown Inputs Observers Design for Delay Systems . Asian Journal of Control , 9 : 426 – 434 .
   Web of Science ®Google Scholar
• Fernando , T and Trinh , H . 2007 . Design of Reduced-order State/Unknown Input Observers Based on a Descriptor System Approach . Asian Journal of Control , 9 : 458 – 465 .
   Web of Science ®Google Scholar
• Fridman , E and Shaked , U . 2002 . A Descriptor System Approach to H ∞ Control of Linear Time-delay Systems . IEEE Transactions on Automatic Control , 47 : 253 – 270 .
   Web of Science ®Google Scholar
• Fu , YM , Duan , GR and Song , SM . 2004 . Design of Unknown Input Observer for Linear Time-delay Systems . International Journal of Control, Automation and Systems , 2 : 530 – 535 .
   Web of Science ®Google Scholar
• Gao , Z and Ding , SX . 2007 . State and Disturbance Estimator for Time-delay Systems with Application to Fault Estimation and Signal Compensation . IEEE Transactions on Signal Processing , 55 : 5541 – 5551 .
   Web of Science ®Google Scholar
• Germani , A , Manes , C and Pepe , P . 2000 . A Twofold Spline Approximation for Finite Horizon LQG Control of Hereditary Systems . SIAM Journal on Control and Optimiztion , 39 : 1233 – 1295 .
   Web of Science ®Google Scholar
• Gorecki , H , Fuksa , S , Grabowski , P and Korytowski , A . 1989 . Analysis and Synthesis of Time Delay Systems , New York : Wiley .
   Google Scholar
• Ha , QP and Trinh , H . 2004 . State and Input Simultaneous Estimation for a Class of Nonlinear Systems . Automatica , 40 : 1779 – 1785 .
   Web of Science ®Google Scholar
• He , Y , Wang , Q , Lin , C and Wu , M . 2007a . Delay-range-dependent Stability for Systems with Time-varying Delay . Automatica , 43 : 371 – 376 .
   Web of Science ®Google Scholar
• He , Y , Wang , Q , Xie , L and Lin , C . 2007b . Further Improvement of Free-weighting Matrices Technique for Systems with Time-varying Delay . IEEE Transactions on Automatic Control , 52 : 293 – 299 .
   Web of Science ®Google Scholar
• Hou , M and Müller , PC . 1992 . Design of Observers for Linear Systems with Unknown Inputs . IEEE Transactions on Automatic Control , 37 : 871 – 875 .
   Web of Science ®Google Scholar
• Kim , JH . 2001 . Delay and Its Time-derivative-dependent Robust Stability of Time-delayed Linear Systems with Uncertainty . IEEE Transactions on Automatic Control , 46 : 789 – 792 .
   Web of Science ®Google Scholar
• Liao , TL and Huang , NS . 1999 . An Observer-based Approach for Chaotic Synchronization with Applications to Secure Communications . IEEE Transactions on Circuits and System – I: Fundamental Theory and Application Application , 46 : 1144 – 1150 .
   Web of Science ®Google Scholar
• Lin , C , Wang , Z and Yang , F . 2009 . Observer-based Networked Control for Continuous-time Systems with Random Sensor Delays . Automatica , 45 : 578 – 584 .
   Web of Science ®Google Scholar
• Malek-Zavarei , M and Jamshidi , M . 1987 . Time Delay Systems: Analysis, Optimization and Applications , Amsterdam , , The Netherlands : North Holland .
   Google Scholar
• Manitius , AZ . 1984 . Feedback Controllers for a Wind Tunnel Model Involving a Delay: Analytical Design and Numerical Simulation . IEEE Transactions on Automatic Control , 29 : 1058 – 1068 .
   Web of Science ®Google Scholar
• Niculescu , S . 2001 . Delay Effects on Stability, Volume 269 of LNCIS , Berlin : Springer .
   Google Scholar
• Park , Y and Stein , JL . 1988 . Closed-loop State and Input Observers for Systems with Unknown Inputs . International Journal of Control , 48 : 1121 – 1136 .
   Web of Science ®Google Scholar
• Patton , R , Frank , P and Clark , R . 1987 . Fault Diagnosis in Dynamic Systems: Theory and Application , Englewood Cliffs , NJ : Prentice Hall .
   Google Scholar
• Rao , CR and Mitra , S . 1971 . Generalized Inverse of Matrices and Its Applications , New York : John Wiley .
   Google Scholar
• Richard , JP . 2003 . Time-delay Systems: An Overview of Some Recent Advances and Open Problems . Automatica , 39 : 1667 – 1694 .
   Web of Science ®Google Scholar
• Trinh , H and Ha , QP . 2000 . Design of Linear Functional Observers for Linear Systems with Unknown Inputs . International Journal of Systems Science , 31 : 741 – 749 .
   Web of Science ®Google Scholar
• Trinh , H and Ha , QP . 2007 . State and Input Simultaneous Estimation for a Class of Time-delay Systems with Uncertainties . IEEE Transactions on Circuits and Systems II , 54 : 527 – 531 .
   Google Scholar
• Wang , D , Wang , W and Shi , P . 2009a . Exponential H-infinity Filtering for Switched Linear Systems with Interval Time-varying Delay . International Journal of Robust and Nonlinear Control , 19 : 532 – 551 .
   Web of Science ®Google Scholar
• Wang , D , Wang , W and Shi , P . 2009b . Robust Fault Detection for Discrete-time Switched Linear Systems with State Delays . IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics , 39 : 800 – 805 .
   PubMed Web of Science ®Google Scholar
• Xiong , Y and Saif , M . 2003 . Unknown Disturbance Inputs Estimation Based on a State Functional Observer Design . Automatica , 39 : 1389 – 1398 .
   Web of Science ®Google Scholar
• Zhang , W , Branicky , M and Philips , SM . 2004 . Stability of Networked Control Systems . IEEE Control Systems Magazine , 21 : 84 – 99 .
   Web of Science ®Google Scholar