Fractional order models for a cryogenic separation column

The chemical processes developed in the 13C-isotope separation plant are very complex and many details are not yet known in totality. The authors are concerned with the problem of developing effective and readily useful techniques for modeling and control of the isotope separation plant. In the present paper is presented a variant of continuous linear model. Recent studies show that fractional control methods are widely used and that non integer models describe completely the distributed system's behavior. Based on these studies the authors propose two fractional models of the isotope separation plant. The results are validated and compared by simulation, based on experimental data.

[1]  Operational Models of the Cryogenic Distillation Column for (13C) Isotope , 2006, 2006 IEEE International Conference on Automation, Quality and Testing, Robotics.

[2]  I. Podlubny.  Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[3]  J. Abonyi,et al.  Local and global identification and interpretation of parameters in Takagi-Sugeno fuzzy models , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[4]  Alain Oustaloup,et al.  System Identification Using Fractional Models: State of the Art , 2007 .

[5]  Robert Shorten,et al.  Issues in the design of switched linear control systems: A benchmark study , 2003 .

[6]  J. Cunge,et al.  Practical aspects of computational river hydraulics , 1980 .

[7]  S. Das,et al.  Functional Fractional Calculus for System Identification and Controls , 2007 .

[8]  Xavier Litrico,et al.  Robust continuous-time and discrete-time flow control of a dam–river system. (II) Controller design , 1999 .

[9]  J. Kendall,et al.  Separation of Isotopes , 1923, Nature.

[10]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..

[11]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[12]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[13]  Yolanda Bolea,et al.  LPV modelling and identification of an open canal for control , 2007, 2007 European Control Conference (ECC).

[14]  William Leithead,et al.  Survey of gain-scheduling analysis and design , 2000 .

[15]  Bassam Bamieh,et al.  Identification of linear parameter varying models , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[16]  Xavier Litrico.  Modélisation et commande robuste de systèmes barrage-rivière , 2001 .

[17]  M. Bettayeb,et al.  State space realization of fractional order systems , 2009 .