Digital flatness-based robust controller applied to a thermal process

By the use of flatness the problem of pole placement, which consists in imposing closed loop system dynamics can be related to tracking. Polynomial controllers for finite-dimensional linear systems can then be designed with very natural choices for high level parameters design. Effectiveness and robustness of this simple control methodology is illustrated on a thermal process.

[1]  M. Fliess,et al.  On Differentially Flat Nonlinear Systems , 1992 .

[2]  Karl Johan Åström,et al.  Solution Using Robust Adaptive Pole Placement , 1991 .

[3]  Pierre Rouchon,et al.  Tracking control of a vibrating string with an interior mass viewed as delay system , 1998 .

[4]  M. Fliess,et al.  Sur les systèmes non linéaires différentiellement plats , 1992 .

[5]  M. Fliess,et al.  Controlling Nonlinear Systems by Flatness , 1997 .

[6]  Philippe Martin,et al.  A Lie-Backlund approach to equivalence and flatness of nonlinear systems , 1999, IEEE Trans. Autom. Control..

[7]  Michel Fliess,et al.  Controllability and observability of linear delay systems: an algebraic approach , 1998 .

[8]  M. Fliess,et al.  Regulation of non-minimum phase outputs: a flatness based approach , 1998 .

[9]  F. Rotella,et al.  Flatness approach for the numerical control of a turning process , 1999, 1999 European Control Conference (ECC).

[10]  David J. N. Limebeer,et al.  Linear Robust Control , 1994 .

[11]  W. Wolovich.  Linear multivariable systems , 1974 .

[12]  Mounir Ayadi,et al.  Polynomial controller design based on flatness , 2001, Kybernetika.

[13]  Astrom.  Computer Controlled Systems , 1990 .

[14]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[15]  I. Horowitz.  Synthesis of feedback systems , 1963 .

[16]  Michel Fliess,et al.  A flatness based control synthesis of linear systems and application to windshield wipers , 1997, 1997 European Control Conference (ECC).

[17]  M. Grimble.  Robust Industrial Control Systems: Optimal Design Approach for Polynomial Systems , 1994 .

[18]  M. Fliess,et al.  Une interprétation algébrique de la transformation de laplace et des matrices de transfert , 1994 .

[19]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[20]  Karl Johan Åström,et al.  Computer-Controlled Systems: Theory and Design , 1984 .