Practical stabilization of a class of uncertain chemical reactors

The stability properties of a class of controlled continuous stirred tank reactors (CSTR) with parameter uncertainties are-studied. Departing from the concept of practical stabilizability, it is proven that an input-output linearizing type feedback can take the trajectories of the reactor arbitrarily close to the set point, despite of parameter uncertainties. The resulting feedback is interpreted as a high-gain nonlinear one.<<ETX>>

[1]  Torkel Glad,et al.  Nonlinear Control Theory , 1994 .

[2]  Rutherford Aris,et al.  An analysis of chemical reactor stability and control—I: The possibility of local control, with perfect or imperfect control mechanisms , 1958 .

[3]  G. Gavalas.  Nonlinear Differential Equations of Chemically Reacting Systems , 1968 .

[4]  Manfred Morari,et al.  Robust Controller Design for a Nonlinear CSTR , 1989, 1989 American Control Conference.

[5]  A. B. Poore,et al.  On the dynamic behavior of continuous stirred tank reactors , 1974 .

[6]  M. Feinberg.  Chemical reaction network structure and the stability of complex isothermal reactors—I. The deficiency zero and deficiency one theorems , 1987 .

[7]  Piotr Myszkorowski,et al.  Practical stabilization of a class of uncertain nonlinear systems , 1992 .

[8]  C. Kravaris,et al.  Robust nonlinear state feedback under structured uncertainty , 1988 .

[9]  S. Gutman.  Uncertain dynamical systems--A Lyapunov min-max approach , 1979 .

[10]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[11]  Z. Qu.  Global stabilization of nonlinear systems with a class of unmatched uncertainties , 1992 .

[12]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[13]  D. Dawson,et al.  Continuous state feedback control guaranteeing exponential stability for uncertain dynamical systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[14]  J. Kantor,et al.  AN EXOTHERMIC CONTINUOUS STIRRED TANK REACTOR IS FEEDBACK EQUIVALENT TO A LINEAR SYSTEM , 1985 .

[15]  M. Corless,et al.  A new class of stabilizing controllers for uncertain dynamical systems , 1982, 1982 21st IEEE Conference on Decision and Control.