Hierarchical design of decentralized control structures for the Tennessee Eastman Process

Abstract In this work, the systematic approach to a plant-wide control design developed in a previous work by the authors [Antelo, L. T., Otero-Muras, I., Banga, J. R, & Alonso, A. A. (2007). A systematic approach to plant-wide control based on thermodynamics. Computers & and Chemical Engineering , 31 (7), 677–691] is applied to derive robust decentralized controllers in the challenging benchmark of the Tennessee Eastman Process (TEP). The hierarchical control design is based on the link between thermodynamics and passivity theory as well as on the fundamentals of process networks. First, the TEP process network is decomposed into abstract mass and energy inventory networks. It is over these subnetworks where conceptual inventory control loops are developed to guarantee the convergence of the mass and energy inventories to a given compact region defined by constant inventories. Thermodynamics gives us a function (the entropy) which has a definite curvature (concavity) over these compact regions of the state space. This function can then be employed on these regions to derive natural storage or function candidates which can be used in designing controllers for stabilizing the network. The last step in the systematic control design procedure will be the realization of the controllers using the available degrees of freedom of the process. The inventory control laws will be obtained as a composition of control loops implemented over the real manipulated variables (degrees of freedom).

[1]  Katalin M. Hangos,et al.  Thermodynamic approach to the structural stability of process plants , 1999 .

[2]  Bjorn D. Tyreus,et al.  Dominant variables for partial control. 2. Application to the Tennessee Eastman challenge process , 1999 .

[3]  D. R. Baughman,et al.  Neural Networks in Bioprocessing and Chemical Engineering , 1992 .

[4]  P. S. Bauer.  Dissipative Dynamical Systems: I. , 1931, Proceedings of the National Academy of Sciences of the United States of America.

[5]  JayHyung Lee,et al.  Nonlinear model predictive control of the Tennessee Eastman challenge process , 1995 .

[6]  J. Willems.  Dissipative dynamical systems part I: General theory , 1972 .

[7]  A. Isidori.  Nonlinear Control Systems , 1985 .

[8]  B. Erik Ydstie,et al.  Passivity based control via the second law , 2002 .

[9]  William L. Luyben,et al.  Plantwide control design procedure , 1997 .

[10]  Julio R. Banga,et al.  Design of a Class of Stabilizing Nonlinear State Feedback Controllers with Bounded Inputs , 1998 .

[11]  Antonio A. Alonso,et al.  469d A Thermodynamic Approach to the Stability of Equilibrium Mass Transfer Units and Multi- Stage Distillation Columns , 2001 .

[12]  T. J. McAvov,et al.  BASE CONTROL FOR THE TENNESSEE EASTMAN PROBLEM , 2001 .

[13]  Julio R. Banga,et al.  Optimal tuning of thermodynamic-based decentralized PI control loops: application to the Tennessee eastman process , 2008 .

[14]  Antonio A. Alonso,et al.  Stabilization of distributed systems using irreversible thermodynamics , 2001, Autom..

[15]  P. R. Lyman,et al.  Throughput Manipulation in Plantwide Control Structures , 1994 .

[16]  E. F. Vogel,et al.  A plant-wide industrial process control problem , 1993 .

[17]  Antonio A. Alonso,et al.  Process systems and passivity via the Clausius-Planck inequality , 1997 .

[18]  Thomas J. McAvoy,et al.  Base control for the Tennessee Eastman problem , 1994 .

[19]  N. Lawrence Ricker,et al.  Decentralized control of the Tennessee Eastman Challenge Process , 1996 .

[20]  Lorenz T. Biegler,et al.  Dynamic optimization of the Tennessee Eastman process using the OptControlCentre , 2003, Comput. Chem. Eng..

[21]  Sigurd Skogestad,et al.  Plantwide controlA review and a new design procedure ” , 2013 .

[22]  George Stephanopoulos,et al.  Perspectives on the synthesis of plant-wide control structures , 2000 .

[23]  Christos Georgakis,et al.  Plant-wide control of the Tennessee Eastman problem , 1995 .

[24]  Babatunde A. Ogunnaike,et al.  Process Dynamics, Modeling, and Control , 1994 .

[25]  Julio R. Banga,et al.  A systematic approach to plant-wide control based on thermodynamics , 2007, Comput. Chem. Eng..

[26]  B. Ydstie,et al.  Process systems, passivity and the second law of thermodynamics , 1996 .

[27]  B. Erik Ydstie,et al.  Process systems and inventory control , 1998 .