Performance limitations for linear feedback systems in the presence of plant uncertainty

IEEE Transactions on Automatic Control

Volumn 48, Issue 8, 2003, Pages 1312-1319

  Goodwin, Graham C ^a   Salgado, Mario E ^b   Yuz, Juan I ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

^b DEPARTAMENTO DE FÍSICA   (Chile)

Author keywords

Performance limitations; Stochastic embedding; Uncertainty

Indexed keywords

CONTROL SYSTEM SYNTHESIS; INTEGRAL EQUATIONS; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; OPTIMAL CONTROL SYSTEMS; RANDOM PROCESSES; UNCERTAIN SYSTEMS;

PERFORMANCE LIMITATIONS; STOCHASTIC EMBEDDING;

FEEDBACK CONTROL;

EID: 0042883909     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.815011     Document Type: Article

References (21)

1. H. W. Bode, Network Analysis and Feedback Amplifier Design. New York: Van Nostrand, 1945.
2. M.M. Serón, J. Braslavsky, and G. Goodwin, Fundamental Limitations in Filtering and Control. New York: Springer-Verlag, 1997.
3. K.J. Åström, "Fundamental limitations of control system performance," in Communication, Computation, Control and Signal Processing - A Tribute to Thomas Kailath, A Paulraj, V. Roychowdhury, and C. D. Schaper, Eds. Boston, MA: Kluwer, 1997, pp. 355-363.
4. J. Freudenberg and D. Looze, "Right half plane poles and zeros and design tradeoffs in feedback systems," IEEE Trans. Automat. Contr., vol. AC-30, pp. 555-565, June 1985.
5. L. Qiu and E. Davidson, "Performance limitations of nonminimum phase systems in the servomechanism problem," Automatica, vol. 29, no. 2, pp. 337-349. 1993.
6. J. Chem, L. Qiu, and O. Toker, "Limitations in maximal tracking accuracy," IEEE Trans. Automat. Contr., vol. 45, pp. 326-331, Feb 2000.
7. J. Chen, "Logarithmic integrals, interpolation bounds and performance limitations in MIMO feedback systems," IEEE Trans. Automat. Contr., vol. 45, pp. 1098-1115, June 2000.
8. J. Chen and C. Nett, "Sensitivity integrals for multivariable discrete time systems," Automatica, vol. 31, no. 8, pp. 1113-1124, Aug. 1995.
9. G. Gómez and G. Goodwin, "Integral constraints on sensitivity vectors for multivariable linear systems," Automatica, vol. 32, no. 4, pp. 499-518, 1996.
10. R. Middleton, "Trade-offs in linear control systems design," Automatica, vol. 27, no. 2, pp. 281-292, 1991.
11. V. Sule and V. Athani, "Directional sensitivity trade-offs in multivariable feedback systems," Automatica, vol. 27, no. 5, pp. 869-8972, 1991.
12. H. Sung and S. Hara, "Properties of sensitivity and complementary sensitivity functions in single-input single-output digital control systems," Int. J. Control, vol. 48, no. 6, pp. 2429-2439, 1998.
13. M. Serón and G. Goodwin, "Sensitivity limitations in nonlinear feedback control," Syst. Control Lett., vol. 27, pp. 249-254, 1996.
14. J. Shamma, "Performance limitations in sensitivity reduction for nonlinear plants," Syst. Control Lett., vol. 17, pp. 43-47, 1991.
15. P. Iglesias, "An analogue of Bode's integral for stable nonlinear systems: Relations to entropy," Proc. of the 40th IEEE Conf. Decision Control, vol. 4, pp. 3419-3420, 2001.
16. G. Goodwin, S. Graebe, and M. Salgado, Control System Design. Upper Saddle River, NJ: Prentice-Hall, 2001.
17. R. Middleton and J. Braslavsky, "On the relationship between logarithmic sensitivity integrals and optimal control problems," Proc. 39th IEEE Conf. Decision Control, vol. 5, 4990-4995, 2000.
18. L. Xie and L. Guo, "How much uncertainty can be dealt with by feedback," IEEE Trans. Automat. Cont., vol. 45, pp. 2203-2217, Dec. 2000.
19. G. Goodwin and M. Salgado, "A stochastic embedding approach for quantifying uncertainty in the estimation of restricted complexity models," Int. J. Adapt. Control Signal Processing, vol. 3, pp. 333-356, 1989.
20. G. Goodwin, J. Braslavsky, and M. Serón, "Non-stationary stochastic embedding for transfer function estimation," Automatica, vol. 38, pp. 47-62, 2002.
21. R. Churchill and J. Brown, Complex Variable and Applications, New York: McGraw-Hill, 1984.