Best tracking and regulation performance under control energy constraint

IEEE Transactions on Automatic Control

Volumn 48, Issue 8, 2003, Pages 1320-1336

  Chen, Jie ^a   Hara, Shinji ^b   Chen, Gang ^a  

^a University of California Riverside   (United States)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Control design constraints; Control effort; Optimal control; Output regulation; Performance limitations; Reference tracking

Indexed keywords

CONSTRAINT THEORY; CONTROL SYSTEM SYNTHESIS; INTEGRAL EQUATIONS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; POLES AND ZEROS;

CONTROL ENERGY CONSTRAINT; OUTPUT REGULATION; PERFORMANCE LIMITATIONS; REFERENCE TRACKING;

FEEDBACK CONTROL;

EID: 0042140378     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.815012     Document Type: Article

References (25)

1. S. Boyd and C. A. Desoer, "Subharmonic functions and performance bounds in linear time-invariant feedback systems," IMA J. Math. Control Inform., vol. 2, pp. 153-170, 1985.
2. J. Chen, "Sensitivity integral relations and design tradeoffs in linear multivariable feedback systems," IEEE Trans. Automat. Contr., vol. 40, pp. 1700-1716, Oct. 1995.
3. ____, "Multivariable gain-phase and sensitivity integral relations and design tradeoffs," IEEE Trans. Automat. Contr., vol. 43, pp. 373-385, Mar. 1998.
4. ____, "Logarithmic integrals, interpolation bounds, and performance limitations in MIMO systems," IEEE Trans. Automat. Contr., vol. 45, pp. 1098-1115, June 2000.
5. J. Chen, Z. Ren, S. Hara, and L. Qiu, "Optimal tracking performance: Preview control and exponential signals," IEEE Trans. Automat. Contr., vol. 46, pp. 1647-1654, Oct. 2001.
6. J. Chen, O. Toker, and L. Qiu, "Limitations on maximal tracking accuracy," IEEE Trans. Automat. Contr., vol. 45, pp. 326-331, Feb. 2000.
7. ∞ Control Theory, ser. Lecture Notes in Control and Information Science, Berling, Germany: Springer-Verlag, 1987.
8. J.S. Freudenberg and D.P. Looze, "Right half plane zeros and poles and design tradeoffs in feedback systems," IEEE Trans. Automat. Contr., vol. AV-30, pp. 555-565, June 1985.
9. ____, Frequency Domain Properties of Scalar and Multivariable Feedback Systems, ser. Lecture Notes in Control and Information Science. Berlin, Germany: Springer-Verlag, 1988, vol. 104.
10. S. Hara and N. Naito, "Control performance limitation for electro-magnetically levitated mechanical systems," in Proc. 3rd MOVIC, Zurich, Switzerland, 1998, pp. 147-150.
11. S. Hara and H. K. Sung, "Constraints on sensitivity characteristics in linear multivariable discrete-time control systems," Linear Alg. Applicat., vol. 122/123/124, pp. 889-919, 1989.
12. T. Iwasaki, S. Hara, and Y. Yamauchi, "Structure/control design integration with finite frequency positive real property," in Proc. 2000 Amer. Control Conf., Chicago, IL, June 2000, pp. 549-553.
13. P.P. Khargonekar and A. Tannenbaum, "Non-euclidean metrics and the robust stabilization of systems with parameter uncertainty," IEEE Trans. Automat. Contr., vol. AC-30, pp. 1005-1013, Oct. 1985.
14. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems, New York: Wiley, 1972.
15. N. Levinson and R. M. Redheffer, Complex Variables. Baltimore, MD: Holden-Day, 1970.
16. R.H. Middleton, "Trade-offs in linear control system design," Automatica, vol. 27, no. 2, pp. 281-292, Feb. 1991.
17. M. Morari and E. Zafiriou, Robust Process Control, Upper Saddle River, NJ: Prentice-Hall, 1989.
18. L. Qiu and J. Chem, "Time domain performance limitations of feedback control," in Mathematical Theory of Networks and Systems, A. Beghi, L. Finesso, and G. Picci, Eds. Rome, Italy: II Poligrafo, 1998, pp. 369-372.
19. L. Qiu and E. J. Davison, "Performance limitations of nonminimum phase systems in the servomechanism problem," Automatica, vol. 29, no. 2, pp. 337-349, Feb. 1993.
20. 2 Optimal Control. Upper Saddle River, NJ: Prentice-Hall, 1995.
21. M. M. Seron, J. H. Braslavsky, and G. C. Goodwin, Fundamental Limitations in Filtering and Control. London, U.K.: Springer-Verlag, 1997.
22. M. M. Seron, J. H. Braslavsky, P. V. Kokotovic, and D. Q. Mayne, "Feedback limitations in nonlinear systems: From Bode integrals to cheap control," IEEE Trans. Automat. Contr., vol. 44, pp. 829-833, Apr. 1999.
23. R. E. Skelton, T. Iwasaki, and K. M. Grigoriadis, A Unified Algebraic Approach to Linear Control Design. New York: Taylor Francis, 1997.
24. M. Vidyasagar, Control System Synthesis: A Factorization Approach. Cambridge, MA: MIT Press, 1985.
25. G. Zames and B. A. Francis, "Feedback, minimax sensitivity, and optimal robustness," IEEE Trans. Automat. Contr., vol. AC-28, pp. 585-600, May 1985.