Dissipativity analysis for networks of process systems

Abstract The paper presents stability and stabilizability analysis for plant-wide chemical processes. The process is modeled as a network of process systems with multiple recycle streams and energy integration. One of the key problems that we address in the paper is how to determine dissipativity properties of the process network from the dissipativity properties of the individual process systems and the topology of the network. The results in the paper extend the dissipativity analysis based on thermodynamics for individual processes to dissipativity-based conditions (storage functions and supply rates) suitable for process network analysis. The new storage and supply functions are based on balance equations represented in terms of temperatures and compositions rather than internal energy and chemical potentials. This makes the theory easier to apply to typical chemical process model systems. A simple example is provided to illustrate the application of the theory.

[1]  Carlos E. García,et al.  Design Methodology Based On the Fundamental Control Problem Formulation , 1987 .

[2]  P. Moylan,et al.  The stability of nonlinear dissipative systems , 1976 .

[3]  Peter L. Lee,et al.  On dissipativity, passivity and dynamic operability of nonlinear processes , 2008 .

[4]  J. Keenan.  Availability and irreversibility in thermodynamics , 1951 .

[5]  R. Ortega.  Passivity-based control of Euler-Lagrange systems : mechanical, electrical and electromechanical applications , 1998 .

[6]  Martin Guay,et al.  Measurement of nonlinearity in chemical process control systems: The steady state map , 1995 .

[7]  Michael Baldea,et al.  Control of integrated process networks - A multi-time scale perspective , 2007, Comput. Chem. Eng..

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

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

[10]  Thomas F. Edgar,et al.  Smart manufacturing, manufacturing intelligence and demand-dynamic performance , 2012, Comput. Chem. Eng..

[11]  Julio R. Banga,et al.  Dissipative systems: from physics to robust nonlinear control , 2004 .

[12]  József Bokor,et al.  Analysis and Control of Nonlinear Process Systems , 2004 .

[13]  Kendell R. Jillson,et al.  Process networks with decentralized inventory and flow control , 2007 .

[14]  Mrdjan J. Jankovic,et al.  Constructive Nonlinear Control , 2011 .

[15]  William L. Luyben,et al.  Plantwide Process Control , 1998 .

[16]  Sigurd Skogestad,et al.  Control structure design for complete chemical plants , 2004, Comput. Chem. Eng..

[17]  Jie Bao,et al.  Plantwide Operability Analysis based on a Network Perspective: a Study on the Tennessee Eastman Process , 2010 .

[18]  W. Luyben.  Snowball effects in reactor/separator processes with recycle , 1994 .

[19]  József Bokor,et al.  Hamiltonian view on process systems , 2001 .

[20]  Michael Baldea,et al.  Dynamics and control of chemical process networks: Integrating physics, communication and computation , 2013, Comput. Chem. Eng..

[21]  Christos Georgakis,et al.  A new measure of process output controllability , 1998 .

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

[23]  P. Moylan,et al.  Stability criteria for large-scale systems , 1978 .

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

[25]  Jie Bao,et al.  Passivity based control of process networks , 2007 .

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

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

[28]  Ernst Dieter Gilles.  Network Theory for Chemical Processes , 1998 .

[29]  Jan Lunze,et al.  Feedback control of large-scale systems , 1992 .

[30]  P. Daoutidis,et al.  Nonlinear Dynamics and Control of Process Systems with Recycle , 2000 .

[31]  Michael Baldea,et al.  Dynamics and Control of Process Networks with Large Energy Recycle , 2009 .

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

[33]  Dimitri Jeltsema,et al.  Power Shaping Control of Nonlinear Systems: A Benchmark Example , 2006 .

[34]  Francis J. Doyle,et al.  Chapter A2 – Chemical process characterization for control design , 2004 .

[35]  David J. Hill,et al.  Stability results for nonlinear feedback systems , 1977, Autom..

[36]  J. Willems.  The Behavioral Approach to Open and Interconnected Systems , 2007, IEEE Control Systems.

[37]  Shichao Xu,et al.  Distributed control of plantwide chemical processes , 2009 .

[38]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[39]  Giovanni Astarita,et al.  Thermodynamics: An Advanced Textbook for Chemical Engineers , 1989 .

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

[41]  Michael Baldea,et al.  Dynamics and control of integrated networks with purge streams , 2006 .

[42]  Jie Bao,et al.  Dynamic Operability Analysis of Nonlinear Process Networks Based on Dissipativity , 2009 .

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