Differential algebraic approach in non-linear dynamical compensator design for d.c.-to-d.c. power converters

References

• ÅsTRÖM , K. J. , and HÄGGLÜND , T. , 1988 , Automatic Tunning of,PID Controllers ( Research Triangle Park , NC Instrument Society of America ).
   Google Scholar
• CONTE , G. , MOOG , C. H. , and PERDON , A. , 1988 , Compte Rendu Academic Science , Paris , I-307 , 363 .
   Google Scholar
• FLIESS , M. , 1988 , Nonlinear control theory and differential algebra . Modeling and Adaptive control, edited by Ch. I. Byrens and A. Khurzhansky . Lecture Notes in Control and Information Sciences , 105 , 134 – 145 1989a, Forum Mathematicum, 1, 227; 1989 b, C. Rendu Academie Science Paris, 1–308, 377;1989 c, International Journal of Control, 49, 1989; 1990, Generalized controller canonical form for linear and nonlinear systems. I.E.E.E. Transactions on Automatic Control, 35, 994 .
   Google Scholar
• FLIESS , M. and HASSLER , M. , 1989 , Questioning the classic state-space description via circuit examples . Mathematical Theory of Networks and Systems (MTNS 89-Amsterdam, June 1989) edited by M. A. Kaashoek, A. C. M. Raam and J. H. van Schuppen, Progress in Systems and Control Theory (Boston Birkhauser) .
   Google Scholar
• KOLCHIN , E. R. , 1973 , Differential Algebra and Algebraic Groups ( New York Academic Press ).
   Google Scholar
• KAPLANSKY , I. , 1957 , An Introduction to Differential Algebra ( Paris Hermann ).
   Google Scholar
• MIDDLEBROOK , R. D. , and CUK , S. , 1981 , Advances in Switch-mode Power Conversion ( Pasadena , CA TELAS Co. Inc ) ( multi-volume series ).
   Google Scholar
• POMMARET , J. F. , 1987 , Lie Pseudogroups and Mechanics ( New York Gordon and Breach ).
   Google Scholar
• SIRA-RAMIREZ , H. , 1987 , I.E.E.E. Transactions on Circuits and Systems , 34 , 919 - 1989 a, 36, 858; 1989 b, IEEE Transactions on Automatic Control. 34, 184; 1990 a, International Journal of Control, 50, 601; 1990 b, Nonlinear pulse-width-modulator controller design. Variable Structure Control for Robotics and Aerospace Applications, edited by K. K. David Young (Amsterdam Elsevier) (to appear) .
   Google Scholar
• SIRA-RAMIREZ , H. , and ILIC , M. , 1989 , International Journal of Control , 50 , 511 .
   Web of Science ®Google Scholar
• SKOOG , R. A. , and BLANKENSHIP , G. L. , 1970 , I.E.E.E. Transactions on Automatic Control , 15 , 300 .
   Web of Science ®Google Scholar
• UTKIN , V. I. , 1978 , Sliding Modes and Their Applications in Variable Structure Systems ( Moscow MIR Editors ).
   Google Scholar
• VERHULST , F. , 1990 , Nonlinear Differential Equations and Dynamical Systems ( Berlin Springer-Verlag ).
   Google Scholar