Feedback limitations in nonlinear systems: From Bode integrals to cheap control

IEEE Transactions on Automatic Control

Volumn 44, Issue 4, 1999, Pages 829-833

  Seron, M M ^a   Braslavsky, J H ^a   Kokotovic P V ^b   Mayne, D Q ^c  

^a UNIVERSITY OF NEWCASTLE   (Australia)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BODE DIAGRAMS; FEEDBACK CONTROL; INTEGRAL EQUATIONS; OPTIMAL CONTROL SYSTEMS;

CHEAP CONTROL METHOD; CONTROL ENERGY;

NONLINEAR CONTROL SYSTEMS;

EID: 0032664303     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.754828     Document Type: Article

References (13)

1. M. M. Seron, J. H. Braslavsky, and G. C. Goodwin, Fundamental Limitations in Filtering and Control. New York: Springer, 1997.
2. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems. New York: Wiley, 1972.
3. L. Qiu and E. J. Davison, "Performance limitations of nonminimum phase systems in the servomechanism problem, "Automatica, vol. 29, no. 2, pp. 337-349, 1993.
4. R. H. Middleton, "Trade-offs in linear control systems design, "Automatica, vol. 27, no. 2, pp. 281-292, Mar. 1991.
5. A. Jameson and R. E. O'Malley, Jr., "Cheap control of the time-invariant regulator, "Appl. Math. Optim., vol. 1, no. 4, pp. 337-354, 1975.
6. P. V. Kokotović, H. K. Khalil, and J. O'Reilly, Singular Perturbation Methods in Control: Analysis and Design. New York: Academic, 1986.
7. J. S. Freudenberg and D. P. Looze, "Right half plane poles and zeros and design tradeoffs in feedback systems, "IEEE Trans. Automat. Contr., vol. 30, pp. 555-565, June 1985.
8. M. M. Seron, J. H. Braslavsky, P. V. Kokotović, and D. Q. Mayne, "Feedback limitations in nonlinear systems: From Bode integrals to cheap control, "CCEC, University of California, Santa Barbara, CA, Tech. Rep. 97-0304, 1997. Available at http://www-ccec.ece.ucsb. edu/techrpts/index.html#1997.
9. J. H. Braslavsky, M. M. Seron, D. Q. Mayne, and P. V. Kokotović, "Limiting performance of optimal linear filters, "Automatica, vol. 35, no. 2, pp. 189-199, Feb. 1999.
10. A. Isidori, Nonlinear Control Systems, 3rd ed. New York: Springer, 1995.
11. R. Sepulchre, M. Janković, and P. V. Kokotović, Constructive Nonlinear Control. New York: Springer, 1997.
12. P. D. Christofides and A. R. Teel, "Singular perturbations and input-to-state stability, "IEEE Trans. Automat. Contr., vol. 41, pp. 1645-1650, Nov. 1996.
13. A. Saberi and H. Khalil, "Quadratic-type Lyapunov functions for singularly perturbed systems, "IEEE Trans. Automat. Contr., vol. 29, pp. 542-550, June 1984.