ℋ₂-optimisation of MIMO sampled-data systems with pure time-delays

References

• Ackermann , J . 1988 . Abtastregelung , 3rd , Berlin : Springer-Verlag .
   Google Scholar
• Åström , KJ and Wittenmark , B . 1997 . Computer Controlled Systems: Theory and Design. , 3rd , Englewood Cliffs, NJ : Prentice-Hall .
   Google Scholar
• Bamieh , BA and Pearson , JB . 1992 . The H 2 Problem for Sampled-data Systems . Systems Control Letters , 19 : 1 – 12 .
   Web of Science ®Google Scholar
• Chen , BM , Saberi , A , Sannuti , P and Shamash , Y . 1993 . Construction and Parameterisation of All Static and Dynamic ⟨2-optimal State Feedback Solutions, Optimal Fixed Modes, and Fixed Decoupling Zeros . IEEE Transactions on Automatic Control , AC-38 : 248 – 261 .
   Google Scholar
• Chen , BM , Saberi , A , Shamash , Y and Sannuti , P . 1994 . Construction and Parameterisation of All Static and Dynamic ⟨2-optimal State Feedback Solutions for Discrete-time Systems . Automatica , 30 : 1817 – 1824 .
   Google Scholar
• Chen , T and Francis , BA . 1991 . ℋ2-optimal Sampled-data Control . IEEE Transactions on Automatic Control , AC-36 : 387 – 397 .
   Google Scholar
• Chen , T and Francis , BA . 1995 . Optimal Sampled-data Control Systems , Berlin, Heidelberg, New York : Springer-Verlag .
   Google Scholar
• Fomin , VN . 1985 . Control Methods for Discrete Multidimensional Processes , Leningrad : University press . (in Russian)
   Google Scholar
• Fridman , E and Shaked , U . 2000 . Sampled-data H ∞ State-feedback Control of Systems with State Delays . International Journal of Control , 73 : 1115 – 1128 .
   Web of Science ®Google Scholar
• Gantmacher , FR . 1959 . The Theory of Matrices , New York : Chelsea .
   Google Scholar
• Hagiwara , T and Araki , M . 1995 . FR-operator Approach to the ℋ2-analysis and Synthesis of Sampled-data Systems . IEEE Transactions on Automatic Control , AC-40 : 1411 – 1421 .
   Web of Science ®Google Scholar
• Hara , S , Fujioka , H and Kabamba , PT . 1994 . A Hybrid State-space Approach to Sampled-data Feedback Control . Linear Algebra and Its Applications , 205–206 : 675 – 712 .
   Web of Science ®Google Scholar
• Jugo , J . 2002 . “ Discretization of Continuous Time-delay Systems ” . In in Proceedings 15th IFAC Triennial World Congress, volume Linear systems/ Time-delay systems REG1450 Barcelona
   Google Scholar
• Kailath , T . 1980 . Linear Systems , Englewood Cliffs, NJ : Prentice Hall .
   Google Scholar
• Khargonekar , PP and Sivarshankar , N . 1992 . ℋ2-optimal Control for Sampled-data Systems . Systems & Control Letters , 18 : 627 – 631 .
   Google Scholar
• Khargonekar , PP and Yamamoto , Y . 1996 . “ Delayed Signal Reconstruction using Sampled-data Control ” . In in Proceedings 35th IEEE Conference on Decision and Control 1259 – 1263 . Kyoto
   Google Scholar
• Kwakernaak , H and Sivan , R . 1972 . Linear Optimal Control Systems , New York : Wiley-Interscience .
   Google Scholar
• Lampe , BP and Rosenwasser , EN . 2003a . Polynomial Solution to Stabilisation Problem for Multivariable Sampled-data Systems . Automation and Remote Control , 64 : 589 – 600 .
   Google Scholar
• Lampe , BP and Rosenwasser , EN . 2003b . Strukturierte Polvorgabe für PMD Prozesse . Automatisierungstechnik , 51 : 119 – 127 .
   Google Scholar
• Lampe , BP and Rosenwasser , EN . 2006 . Polynomial Solution to Stabilisation Problem for Multivariable Sampled-data Systems with Time Delay . Automation and Remote Control , 67 : 105 – 114 .
   Google Scholar
• Lampe , BP and Rosenwasser , EN . 2008 . Parametric Transfer Matrix and Statistical Analysis of Sampled-data Systems with Delay . Journal on Vibration and Control , acc. Dec 2007
   Google Scholar
• Lennartson , B . 1989 . Sampled-data Control for Time-delayed Plants . International Journal of Control , 49 : 1601 – 1614 .
   Web of Science ®Google Scholar
• Polyakov , KY . 2006 . H 2-optimal Sampled-data Control of Plants with Multiple Input and Output Delays . Asian Journal of Control , 8 : 107 – 116 .
   Google Scholar
• Polyakov , KY , Rosenwasser , EN and Lampe , BP . 1999 . “ DirectSD–A Toolbox for Direct Design of Sampled-data Systems ” . In in Proceedings IEEE International Symposium CACSD'99 , 357 – 362 . Hawai'i, , USA : Kohala Coast, Island of Hawai'i .
   Google Scholar
• Polyakov , KY , Rosenwasser , EN and Lampe , BP . 2004 . “ Optimal Design of 2-DOF Digital Controller for Sampled-data Tracking Systems with Preview ” . In in Proceedings 43rd IEEE Conference on Decision Control 2352 – 2357 . Bahama Island
   Google Scholar
• Polyakov , KY , Rosenwasser , EN and Lampe , BP . 2007 . Optimal Stochastic Sampled-data Control with Preview . IEEE Transactions on Automatic Control , AC-52 : 1532 – 1538 .
   Google Scholar
• Popov , VM . 1973 . Hyperstability of Control Systems , Berlin : Springer-Verlag .
   Google Scholar
• Rosenwasser , EN and Lampe , BP . 2000 . Computer Controlled Systems–Analysis and Design with Process-orientated Models , London, Berlin, Heidelberg : Springer-Verlag .
   Google Scholar
• Rosenwasser , EN and Lampe , BP . 2006 . Multivariable Computer Controlled Systems–A Transfer Function approach , London : Springer .
   Google Scholar
• Rosenwasser , EN , Polyakov , KY and Lampe , BP . 1996 . Entwurf Optimaler Kursregler mit Hilfe von Parametrischen Übertragungsfunktionen . Automatisierungstechnik , 44 : 487 – 495 .
   Google Scholar
• Rosenwasser , EN , Polyakov , KY and Lampe , BP . 1997 . Frequency Domain Method for ℋ2–optimisation of Time-delayed Sampled-data Systems . Automatica , 33 : 1387 – 1392 .
   Web of Science ®Google Scholar
• Rosenwasser , EN , Polyakov , KY and Lampe , BP . 1999 . Application of Laplace Transformation for Digital Redesign of Continuous Control Systems . IEEE Transactions on Automatic Control , 4 : 883 – 886 .
   Web of Science ®Google Scholar
• Wittenmark , B . 1985 . Sampling of a System with Time Delay . IEEE Transactions on Automatic Control , AC-30 : 507 – 510 .
   Google Scholar
• Yamamoto , Y . 1994 . A Function Space Approach to Sampled-data Systems and Tracking Problems . IEEE Transactions on Automatic Control , AC-39 : 703 – 713 .
   Web of Science ®Google Scholar
• Yamamoto , Y and Hara , S . 1998 . “ Performance Lower Bound for a Sampled-data Signal Reconstruction ” . In Open Problems in Mathematical Systems and Control Theory , Edited by: Blondel , V , Sontag , E , Vidyasagar , M and Willems , J . 277 – 279 . London : Springer-Verlag .
   Google Scholar
• Youla , DC , Jabr , HA and Bongiorno , JJ Jr . 1976 . Modern Wiener-Hopf Design of Optimal Controllers. Part II: The Multivariable Case . IEEE Transactions on Automatic Control , AC-21 : 319 – 338 .
   Web of Science ®Google Scholar