A partially decentralized state observer and its parallel computer implementation

Industrial and Engineering Chemistry Research

Volumn 37, Issue 7, 1998, Pages 2741-2760

  Abdel Jabbar, Nabil ^a   Kravaris, Costas ^a   Carnahan, Brice ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL ENGINEERING; COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; FEEDBACK; ITERATIVE METHODS; PARALLEL PROCESSING SYSTEMS; PROCESS CONTROL; STATE ESTIMATION;

DECENTRALIZED STATE OBSERVER; JACOBI ITERATION METHOD;

DECENTRALIZED CONTROL;

EID: 0032122905     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie970553r     Document Type: Article

References (52)

1. Abdel-Jabbar, N. M. Parallel Simulation and State Estimation Algorithms for Dynamic Systems on Multicomputer. Ph.D. Dissertation, University of Michigan, Ann Arbor, MI, 1996.
2. Abdel-Jabbar, N.; Carnahan, B.; Kravaris, C. A Multirate ParallelModular Algorithm for Dynamic Process Simulation Using Distributed Memory Multicomputers. To appear in Comput. Chem. Eng.
3. Bachman, W.; Konik, D. On Stabilization of Decentralized Dynamic Output Feedback Systems. Syst. Control Lett. 1984, 5, 89.
4. Bristol, E. H. On a New Measure of Interaction for Multivariable Process Control. IEEE Trans. Autom. Control 1966, 11, 133.
5. Charos, G. N.; Arkun, Y. A Decentralized Quadratic Dynamic Matrix Control Algorithm. J. Proc. Control 1993, 3, 75.
6. Friedland, B. Control System Design. An Introduction to State-Space Methods; McGraw-Hill: New York, 1986.
7. Gauthier, J. P.; Hammouri, H.; Othman, S. A Simple Observer for Nonlinear Systems: Applications to Bioreactors. IEEE Trans. Automat. Control 1992, 37, 875.
8. Gropp, W.; Lusk, E.; Skjellum, A. Using MPI Portable Parallel Programming with the Message-Passing Interface; The MIT Press: Cambridge, MA, 1994.
9. Guan, Y. P.; Saif, M. A Novel Approach to the Design of Unknown Input Observers. IEEE Trans. Automat. Control 1991, 36, 632.
10. Hammouri, H.; Gauthier, J. P. Bilinearization up to Output Injection. Syst. Control Lett. 1988, 11, 139.
11. Henley, E. J.; Seader, J. D. Equilibrium Stage Separation Operations in Chemical Engineering; Wiley: New York, 1981.
12. Hindmarsh, A. C. ODEPACK, a Systematized Collection of ODE Solvers. In Scientific Computing; Stepleman, R. S., Eds.; NorthHolland: Amsterdam, 1983.
13. Hodzic, M.; Siljak, D. D. A Parallel Estimation Algorithm. In Parallel Processing Techniques for Simulation; Singh, M. G., Allidina, A. Y., Daniels, B. K, Eds.; Plenum Press: New York, 1986.
14. Hou, M.; Muller, P. C. On the Design of Decentralized Observers. In Proceedings of the IFAC Conference on Large Scale Systems; Beijing, PRC, 1992.
15. Ikeda, M.; Siljak, D. On Robust Stability of Large-Scale Control Systems. Control Lett. 1982a, 3, 155.
16. Ikeda, M.; Siljak, D. When is a Linear Decentralized Control Optimal? In Proceedings of the 5th International Conference on Analysis and Optimization of Systems, Versailles, France, 1982b.
17. Ikeda, M.; Willems, J. C. An Observer Theory for Decentralized Control of Large-Scale Interconnected Systems. In Proceedings of the 1FAC Conference on Large Scale Systems: Theory and Applications; Zurich, 1986.
18. Jang, S.; Joseph, B.; Mukal, H. Comparison of Two Approaches to On-line Parameter and State Estimation of Nonlinear Systems. Ind. Eng. Chem. Process Des. Dev. 1986, 25, 809.
19. Jazwinski, A. H. Stochastic Processes and Filtering Theory; Academic Press: New York, 1970.
20. Joseph, B.; Brosilow, C. B. Inferential Control of Processes. Part I. Steady State Analysis and Design. AIChE J. 1978,485,1978.
21. Kailath, T. Linear Systems; Prentice-Hall: Englewood Cliffs, NJ, 1980.
22. Kaiman, R. E. A New Approach to Linear Filtering and Prediction Problems. Trans. ASME, J. Basic Eng. 1960, 82, 35.
23. Kazantzis, N.; Kravaris, C. A Nonlinear Luenberger-Type Observer with Application to Catalyst Activity Estimation. Proc. ACC 1995, 1756.
24. Krener, A. J.; Isidori, A. Linearization by Output Injection and Nonlinear Observers. Syst. Control Lett. 1983, 3, 47.
25. Lee, J. H.; Ricker, N. L. Extended Kaiman Filter Based Nonlinear Model Predictive Control. Ind. Eng. Chem. Res. 1994, 33, 1530.
26. Liu, Y. C.; Brosilow, C. B. Simulation of Large Scale Dynamic Systems-I. Modular Integration Methods. Comput. Chem. Eng. 1987, 11, 241.
27. Luenberger, D. G. An Introduction to Observers. IEEE Trans. Automat. Control 1971, 16, 596.
28. Lunze, J. Feedback Control of Large-Scale Systems; PrenticeHall: Englewood Cliffs, NJ, 1992.
29. Luyben, W. L. Process Modeling, Simulation, and Control for Chemical Engineers; McGraw-Hill: New York, 1990.
30. Manousiouthakis, V.; Nikolaou, M. Analysis of Decentralized Control Structures for Nonlinear Systems. AIChE J. 1989,35, 549.
31. Mejdell, T.; Skogestad, S. Estimators for Ill-Conditioned Plants: High-Purity Distillation. IFAC Adv. Control Chem. Processes 1991, 227.
32. Michel, A. N.; Miller, R. K; Tang, W. Lyapunov Stability of Interconnected Systems: Decomposition into Strongly Connected Subsystems. IEEE Trans. Circuits Syst. 1978,25, 799.
33. Mijares, G.; Holland, C. D.; McDaniel, R. C.; Dollar, C. R.; Gallun, S. E. Analysis and Evaluation of the Relative Gains for Nonlinear Systems. Comput. Chem. Eng. 1985, 9, 61.
34. Moore, C.; Hackney, J.; Canter, D. Selecting Sensor Location and Type for Multivariable Processes. Shell Process Control Workshop; Butterworth Publishers: Boston, 1987.
35. Morari, M.; Stephanopoulos, G. Optimal Selection of Secondary Measurements within the Framework of State Estimation in the Presence of Persistent Unknown Disturbances. AIChE J. 1980, 26, 247.
36. Niderlinski, A. A Heuristic Approach to the Design of Linear Multivariable interacting control systems. Automatica 1971, 7, 691.
37. Newell, R. B.; Fisher, D. G. Model Development, Reduction, and Experimental Evaluation for an Evaporator. Ind. Eng. Chem. Process Des. Dev. 1972, 11, 213.
38. Quintero-Marmol, E.; Luyben, W. L.; Georgakis, C. Application of an Extended Luenberger Observer to the Control of Multicomponent Batch Distillation. Ind. Eng. Chem. Res. 1991, 30, 1870.
39. Samyudia, Y.; Lee, P. L.; Cameron, I. T. A Methodology for MultiUnit Control Design. Chem. Eng. Sei. 1994, 49, 3871.
40. Seinfeld, J. H. Optimal Stochastic Control of Nonlinear Systems. AIChE J. 1970,16, 1016.
41. Siljak, D. D. Large-Scale Dynamic Systems: Stability and Structure; North-Holland: New York, 1978.
42. Siljak, D. D. Decentralized Control of Complex Systems; Academic Press: New York, 1991.
43. Siljak, D. D.; Vukevic, M. On Decentralized Estimation. Int. J. Control 1978, 27, 113.
44. Skelton, R. E. Dynamic Systems Control. Linear Systems Analysis and Synthesis; Wiley: New York, 1988.
45. Skogestad, S.; Morari, M. LV-Control of a High Purity Distillation Column. Chem. Eng. Sei. 1988, 43, 33.
46. Stephanopoulos, G. Synthesis of Control Systems for Chemical Plants. Comput. Chem. Eng. 1983, 7, 330.
47. Tatiraju, S.; Soroush, M. Nonlinear State Estimation in a Polymerization Reactor. Ind. Eng.-Chem. Res. 1997, 36, 2679.
48. Vidyasagar, M. Decomposition Technique for Large-Scale Systems with nonadditive Interactions: Stability and Stabilizability. IEEE Trans. Automat. Control 1980, 26, 439.
49. Vidyasagar, M. Nonlinear Systems Analysis; Prentice Hall: Englewood Cliffs, NJ, 1993.
50. Viswanadham, N.; Ramakrishna, A. Decentralized Estimation and Control for Interconnected Systems. Large Scale Syst. 1982,3, 255.
51. Yang, T.; Munro, N.; Brameller, A. Improved Condition for the Optimality of Decentralized Control for Large-Scale Systems. IEE Proc. 1989, 736, 44.
52. Yu, C. C.; Luyben, W. L. Control of Multicomponent Distillation Columns using Rigorous Composition Estimators. IChem. E. Symp. Ser. 1987, 104, 29.