Stabilizing the operation of a nonisothermal CSTR: A model study using a single-variable nonlinear controller

Abstract A nonlinear control law based on internal model control incorporating an adaptive mechanism is obtained for a three-dimensional nonisothermal consecutive reaction in a CSTR. This model system provides typical process situations requiring ervo and regulatory control in the presence of load disturbance, noise, process—model mismatch and deterministic chaos. The performance of the controller is validated by simulation studies.

[1]  M. Morari,et al.  Internal model control. VI: Extension to nonlinear systems , 1986 .

[2]  A. Isidori,et al.  Nonlinear decoupling via feedback: A differential geometric approach , 1981 .

[3]  Pradeep B. Deshpande,et al.  Enhancing the robustness of internal-model-based nonlinear pH controller☆ , 1993 .

[4]  Carlos E. Garcia,et al.  Internal model control. A unifying review and some new results , 1982 .

[5]  R. Hirschorn.  $(A,\mathcal{B})$-Invariant Distributions and Disturbance Decoupling of Nonlinear Systems , 1981 .

[6]  M. Doherty,et al.  Chaos in deterministic systems: Strange attractors, turbulence, and applications in chemical engineering , 1988 .

[7]  C. Kravaris,et al.  Synthesis of multivariable nonlinear controllers by input/output linearization , 1990 .

[8]  Costas Kravaris,et al.  Geometric methods for nonlinear process control. 2. Controller synthesis , 1990 .

[9]  C. Kravaris,et al.  Geometric methods for nonlinear process control. 1. Background , 1990 .

[10]  Bhaskar D. Kulkarni,et al.  On the robust control of nonlinear systems , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[11]  C. Kravaris,et al.  Nonlinear State Feedback Synthesis by Global Input/Output Linearization , 1986, 1986 American Control Conference.

[12]  C. Kahlert,et al.  Chaos in a Continuous Stirred Tank Reactor with Two Consecutive First-Order Reactions, One Exo-, One Endothermic , 1981 .

[13]  Sanjeev S. Tambe,et al.  Nonlinear pH control , 1991 .

[14]  B. Bequette.  Nonlinear control of chemical processes: a review , 1991 .

[15]  Carmen Chicone,et al.  Chaotic behavior in the dynamical system of a continuous stirred tank reactor , 1987 .

[16]  I. Ha,et al.  A complete characterization of decoupling control laws for a general class of nonlinear systems , 1986 .

[17]  Yaman Arkun,et al.  Feedforward and feedback linearization of nonlinear system and its implementation using internal model control (IMC) , 1988 .

[18]  M. A. Henson,et al.  An internal model control strategy for nonlinear systems , 1991 .

[19]  R. Aris,et al.  More on the dynamics of a stirred tank with consecutive reactions , 1983 .