Digital redesign via the generalised bilinear transformation

References

• Al-Alaoui , MA . 1993 . Novel Digital Integrator and Differentiator . Electron Letters , 29 : 376 – 378 .
   Web of Science ®Google Scholar
• Anderson , BDO , Chongsrid , K , Limebeer , DJN and Hara , S . 1999 . Direct Reduced Order Discretisation of Continuous-time Controller . International Journal of Robust and Nonlinear Control , 9 : 143 – 155 .
   Web of Science ®Google Scholar
• Chen , T and Francis , B . 1995 . Optimal Sampled-Data Control Systems , London : Springer .
   Google Scholar
• Chen , CM and Liu , FH . 2001 . The Discrete-time Equivalent of an Analogue Controller by a Compensated Approach . International Journal of Systems Science , 32 : 287 – 294 .
   Web of Science ®Google Scholar
• Franklin , GF , Powell , JD and E-Naeini , L . 2002 . Feedback Control of Dynamical Systems , 4th , Prentice Hall, NJ : Upper Saddle River .
   Google Scholar
• Horn , R and Johnson , C . 1986 . Topics in Matrix Analysis , New York : Cambridge University Press .
   Google Scholar
• Hwang , H , Chang , F and Hwang , J . 2003 . Digital Redesign of Analog Controllers Based on Minimising Integral of Squared Errors . Optimal Control Applications and Methods , 24 : 1 – 22 .
   Web of Science ®Google Scholar
• Jelali , M . 2006 . An Overview of Control Performance Assessment Technology and Industrial Applications . Control Engineering Practice , 14 : 441 – 466 .
   Web of Science ®Google Scholar
• Keller , JP and Anderson , BDO . 1992 . A New Approach to the Discretisation of Continuous-time Controllers . IEEE Transaction on Automatic Control , 37 : 214 – 223 .
   Web of Science ®Google Scholar
• Kowalczuk , Z . 1993 . Discrete Approximation of Continuous-time Systems: a survey . IEE Proceedings-G , 144 : 264 – 278 .
   Google Scholar
• Liu , FH and Chen , CM . 2005 . Modified Bilinear Integration Algorithm Based on the Modulated Sine Function . in Proceedings IMECHE Part I: Journal of Systems and Control Engineering , 129 : 609 – 616 .
   Google Scholar
• Liu , F-H , Shou , H-N and Chen , C-M . 2006 . “ Converting an Analogue Controller to Its Discrete-time Form via Flexible Power Function Method ” . In in Proceedings of 2006 CACS Automatic Control Conference , 10 – 11 . Tamsui, Taiwan : St. John's University .
   Google Scholar
• Lechevin , N , Rabbath , CA and Dufour , C . 2005 . A Digital Control Perspective for Real-time Modelling of Electrical Switching Systems–A Case Study of Linear Circuits with Diodes . IEEE Control Systems Magazine , 25 : 69 – 85 .
   Web of Science ®Google Scholar
• Markazi , AHD and Hori , N . 1995 . Discretisation of Continuous-time Control Systems with Guaranteed Stability . Control Theory and Applications, IEE Proceedings , 142 : 323 – 328 .
   Google Scholar
• Markazi , AHD and Hori , N . 2003 . Reduced-order PIM Methods for Digital Redesign . Control Theory and Applications, IEE Proceedings , 150 : 335 – 346 .
   Google Scholar
• Rabbath , CA , Hori , N and Lechevin , N . 2004 . Convergence of Sampled-data Models in Digital Redesign . IEEE Transactions on Automatic Control , 49 : 850 – 855 .
   Web of Science ®Google Scholar
• Rafee , N , Chen , T and Malik , O . 1997 . A Technique for Optimal Digital Redesign of Analog Controllers . IEEE Transactions on Control System Technology , 5 : 890 – 99 .
   Web of Science ®Google Scholar
• Rorabaugh , CB . 1993 . Dsp–Digital Filter Designer'S Handbook, TaB Books , 17294 – 0850 . PA : Division of McQraw-Hill . Blue Ridge Summit
   Google Scholar
• Rosenvasser , YN , Polyakov , KY and Lampe , BP . 1999 . Comments on ‘A Technique for Optimal Digital Redesign of Analog Controllers’ . IEEE Transactions on Control System Technology , 7 : 633 – 635 .
   Web of Science ®Google Scholar
• Rosenwasser , EN , Polyakov , KY and Lampe , BP . 1999 . Application of Laplace Transform for Digital Redesign of Continuous Control Systems . IEEE Transactions on Automatic Control , 44 : 883 – 886 .
   Web of Science ®Google Scholar
• Rosenwasser , EN and Lampe , BP . 2000 . Computer Controlled Systems–Analysis and Design with Process-orientated Models , London : Springer .
   Google Scholar
• Rattan , KS . 1984 . Digitization of Existing Continuous Control Systems . IEEE Transactions on Automatic Control , 29 : 282 – 306 .
   Web of Science ®Google Scholar
• Shieh , LS , Wang , WM and Tsai , JSH . 1998 . Digital Redesign of H ∞ Controller via Bilinear Approximization Method for State-delayed Systems . International Journal of Control , 70 : 665 – 683 .
   Web of Science ®Google Scholar
• Sekara , TB . 2006 . New Transformation Polynomials for Discretisation of Analogue Systems . Electrical Engineering , 89 : 137 – 147 .
   Web of Science ®Google Scholar
• Storn , R and Price , K . 1997 . Differential Evolutiona Simple and Efficient Heuristic for Global Optimisation Over Continuous Spaces . Journal of Global Optimization , 11 : 341 – 359 .
   Web of Science ®Google Scholar
• Wittenmark , B , Åström , KJ and Årzén , KE . 2002 . Computer Control: an Overview . IFAC Professional Brief , Laxenburg, Austria
   Google Scholar
• Zhang , G , Chen , T and Chen , X . 2007 . Performance Recovery of Digital Implementation of Analog Systems . SIAM Journal of on Control and Optimization , 45 : 2207 – 2223 .
   Web of Science ®Google Scholar
• Zhang , G , Chen , X and Chen , T . December 12–14 2007 . “ Performance Comparison of Digital Implementation of Analog Systems ” . In The 46th Conference on Decision and Control December 12–14 , 785 – 790 . New Orleans, , USA
   Google Scholar