Design of low-bandwidth spatially distributed feedback

IEEE Transactions on Automatic Control

Volumn 53, Issue 1, 2008, Pages 257-272

  Gorinevsky, Dimitry ^a   Boyd, Stephen ^a,b   Stein, Gunter ^b  

^a Stanford University   (United States)

^b HONEYWELL TECHNOLOGY CENTER   (United States)

Author keywords

Bandwidth; Distributed system control; Loopshaping; Multidimensional; Optimization; PID

Indexed keywords

ACTUATOR SIGNALS; CLOSED-LOOP; CONTROL SIGNAL; CONTROLLER STRUCTURES; DESIGN VARIABLES; DISTRIBUTED FEEDBACK; DISTRIBUTED SYSTEMS; ERROR SIGNAL; FEED-BACK LOOP; FEEDBACK FILTERS; FIXED STRUCTURE; INDUSTRIAL PROCESSS; INFORMATION FLOWS; LINEAR INEQUALITIES; LINEAR TIME-INVARIANT; LOOP-SHAPING; LOW-BANDWIDTH; MULTIDIMENSIONAL; PID; PID CONTROL; PID CONTROLLERS; SIGNAL AND IMAGE PROCESSING; SPATIAL COORDINATES; SPATIAL DISTRIBUTION; SPATIAL FILTERS; SPATIAL NEIGHBORHOODS; SPATIAL RESPONSE; TIME DECAY; TIME RESPONSE;

BANDWIDTH; DESIGN; DIGITAL IMAGE STORAGE; IMAGE PROCESSING; IMAGING SYSTEMS; LINEAR PROGRAMMING; OPTIMIZATION; PROPORTIONAL CONTROL SYSTEMS; THREE TERM CONTROL SYSTEMS; TWO TERM CONTROL SYSTEMS;

CONTROLLERS;

EID: 61549105468     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2007.914950     Document Type: Article

References (35)

1. R. Abraham and J. Lunze, "Modelling and decentralized control of a multizone crystal growth furnace," Int. J. Robust Nonlinear Control, vol. 2, pp. 107-122, 1992.
2. B. Bamieh, F. Paganini, and M. Dahleh, "Distributed control of spatiallyinvariant systems," IEEE Trans. Autom. Control, vol. 47, no. 7, pp. 1091-1107, Jul. 2002.
3. C. L. Beck, J. Doyle, and K. Glover, "Model reduction of multidimensional and uncertain systems," IEEE Trans. Autom. Control, vol. 41, no. 10, pp. 1466-1477, Oct. 1996.
4. N. K. Bose, Applied Multidimensional Systems Theory. New York: Van Nostrand Reynhold, 1982.
5. S. Boyd and C. Barratt, Linear Controller Design: Limits of Performance. Englewood Cliffs, NJ: Prentice-Hall, 1991.
6. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge University Press, 2004.
7. R. W. Brockett and J. L. Willems, "Discretized partial differential equations: Examples of control systems defined on modules," Automatica, vol. 10, pp. 507-515, 1974.
8. A. Chottera and G. Jullien, "Design of two-dimensional recursive digital filters using linear programming," IEEE Trans. Circuits Syst., vol. CAS-29, no. 12, pp. 817-826, Dec. 1982.
9. S. Coulombe and E. Dubois, "Linear phase and symmetries for multidimensional FIR filters over lattices," IEEE Trans. Circuits Syst. II Analog Digit. Signal Process., vol. 45, no. 4, pp. 473-481, Apr. 1998.
10. R. D'Andrea, "Linear matrix inequality approach to decentralized control of distributed parameter systems," in Proc. Amer. Control Conf., Philadelphia, PA, Jun.1998, pp. 1350-1354.
11. R. D'Andrea and G. E. Dullerud, "Distributed control for spatially interconnected systems," IEEE Trans. Autom. Control, vol. 48, no. 9, pp. 1478-1495, Sep. 2003.
12. G. A. De Castro and F. Paganini, "Convex synthesis of localized controllers for spatially invariant systems," Automatica, vol. 38, no. 3, pp. 445-450, 2002.
13. D. Dochain, G. Dumont, D. Gorinevsky, and T. Ogunnaike, Eds., "Special issue on control of industrial spatially distributed processes," IEEE Trans. Control Syst. Technol., vol. 11, no. 5, pp. 609-611, Sep. 2003.
14. D. E. Dudgeon and R. M. Mersereau, Multidimensional Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1984.
15. S. R. Duncan, "The design of robust cross-directional control systems for paper making," in Proc. Amer. Control Conf, Seattle, WA, 1995, pp. 1800-1805.
16. D. Gorinevsky, "Loop-shaping for iterative control of batch processes," IEEE Control Syst. Mag., vol. 22, no. 6, pp. 55-65, Dec. 2002.
17. D. Gorinevsky and S. Boyd, "Optimization-based design and implementation of multi-dimensional zero-phase IIR filters," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 2, pp. 372-386, Feb. 2006.
18. D. Gorinevsky, S. Boyd, and G. Stein, "Optimization-based tuning of low-bandwidth control in spatially distributed systems," in Proc. Amer. Control Conf., Denver, CO, Jun. 2003, vol. 3, pp. 2658-2663.
19. D. Gorinevsky and C. Gheorghe, "Identification tool for cross-directional processes," IEEE Trans. Control Syst. Technol., vol. 11, no. 5, pp. 629-640, Sep. 2003.
20. D. Gorinevsky and G. Gordon, "Spatio-temporal filter for structural health monitoring," in Proc. Amer. Control Conf, Minneapolis, MN, Jun. 2006, pp. 3743-3748.
21. D. Gorinevsky and G. Stein, "Structured uncertainty analysis of robust stability for multidimensional array systems," IEEE Trans. Autom. Control, vol. 48, no. 8, pp. 1557-1568, Sep. 2003.
22. D. Gorinevsky, T. Hyde, and C. Cabuz, "Distributed shape control of lightweight space reflector structure," in Proc. IEEE Conf. Decis. Control, Orlando, FL, Dec. 2001, vol. 4, pp. 3850-3855.
23. E. M. Heaven, I. M. Jonsson, T. M. Kean, M. A. Manness, and R. N. Vyse, "Recent advances in cross machine profile control," IEEE Control Syst. Mag., vol. 14, no. 5, pp. 35-46, Oct. 1994.
24. C. Langbort and R. D'Andrea, "Distributed control of spatially reversible interconnected systems with boundary conditions," SIAM J. Control Optim., vol. 44, no. 1, pp. 1-28, 2005.
25. J. S. Lim, Two-Dimensional Signal and Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1990.
26. S. Mijanovic, G. E. Stewart, G. E. Dumont, and M. S. Davies, "Design of an industrial distributed controller near spatial domain boundaries," in Proc. Amer. Control Conf, Boston, MA, Jun. 30-Jul. 3, 2004, vol. 4, pp. 3574-3580.
27. A. V. Oppenheim, R. W. Schafer, and J. R. Buck, "A recursive information flow system for distributed control arrays," in Discrete-Time Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1999.
28. F. Paganini, "A recursive information flow system for distributed control arrays," in Proc. Amer. Control Conf., San Diego, CA, Jun. 2-4, 1999, vol. 6, pp. 3821-3825.
29. J. Pitas and A. Venetsanopoulos, "The use of symmetrics in the design of multidimensional digital filters," IEEE Trans. Circuits Syst., vol. CAS-33, no. 9, pp. 863-873, Sep. 1986.
30. L. Rabiner, N. Graham, and H. Helms, "Linear programming design of IIR digital filters with arbitrary magnitude function," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-22, no. 2, pp. 117-123, Apr. 1974.
31. G. Stein and D. Gorinevsky, "Design of surface shape control for large two-dimensional arrays," IEEE Trans. Control Syst. Technol., vol. 13, no. 3, pp. 422-433, May 2005.
32. G. E. Stewart, D. Gorinevsky, and G. A. Dumont, "Feedback controller design for a spatially-distributed system: The paper machine problem," IEEE Trans. Control Syst. Technol., vol. 11, no. 5, pp. 612-628, Sep. 2003.
33. G. E. Stewart, D. Gorinevsky, and G. A. Dumont, "Two-dimensional loop shaping," Automatica, vol. 39, no. 5, pp. 779-792, 2003.
34. A. N. Tikhonov and V. Ya. Arsenin, Solutions of Ill-Posed Problems. Washington, DC: Halsted, 1977.
35. S.-P. Wu, S. Boyd, and L. Vandenberghe, "FIR filter design via spectral factorization and convex optimization," in Applied and Computational Control, Signals and Circuits. Basel, Switzerland: Birkhauser, 1997, ch. 2, pp. 51-81.