A note on H2 optimal control problems with passivity constraints

IEEE Transactions on Automatic Control

Volumn 45, Issue 2, 2000, Pages 286-290

  McCarthy, John E ^a   Jacobson, Clas A ^b  

^a WASHINGTON UNIVERSITY   (United States)

^b UNITED TECHNOLOGIES RESEARCH CENTER   (United States)

Author keywords

Passive system; Positive real part

Indexed keywords

CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; IDENTIFICATION (CONTROL SYSTEMS); PROBLEM SOLVING;

PASSIVE SYSTEMS;

OPTIMAL CONTROL SYSTEMS;

EID: 0033733551     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.839950     Document Type: Article

References (22)

1. B. D. O. Anderson, R. R. Bitmead, C. R. Johnson, P. V. Kokotovic , R. L. Kosut, I. M. Y. Mareels, L. Praly, and B. D. Riedle, Stability of Adaptive Systems Passivity and Averaging Analysis. Cambridge, MA: MIT Press, 1986.
2. S. P. Boyd and C. H. Barratt, Linear Controller Design. New York, NY: Prentice-Hall, 1991.
3. C. A. Desoer and E. S. Kuh, Basic Circuit Theory. New York, NY: McGraw-Hill, 1969.
4. C. A. Desoer and M. Vidyasagar, Feedback Systems Input-Output Properties. New York, NY: Academic, 1975.
5. 2 with nonnegative real part," IBM Res. Center, Tech. Rep. RC 12351, 1986.
6. B. A. Francis, "On the Wiener-Hopf approach to optimal feedback design," Syst. and Contr. Lett., vol. 2, pp. 197-201, Dec. 1982.
7. ∞ Control Theory. New York: Springer-Verlag, 1987.
8. 2-optimization with stable controllers," Automatica, vol. 25, pp. 629-634, 1989.
9. E. A. Guillemin, Synthesis of Passive Networks. New York, NY: Wiley, 1957.
10. M. Golomb and H. F. Weinberger, "Optimal approximation and error bounds," in On Numerical Approximation, R. E. Langer, Ed. Madison, WI: Univ. Wisconsin Press, 1959, pp. 117-190.
11. ∞," IEEE Trans. Automat. Contr., vol. 36, pp. 1163-1176, Oct. 1991.
12. ∞: Linear algorithms," IEEE Trans. on Automat. Contr., 1993.
13. H. K. Khalil, Nonlinear Systems. New York, NY: Macmillan, 1992.
14. D. G. Luenberger, Optimization by Vector Space Methods. New York, NY: Wiley, 1969.
15. C. A. Micchelli and F. I. Utreras, "Smoothing and interpolation in a convex subset of a Hilbert space," SIAM J. Sci. Stat. Comput., pp. 728-746, 1988.
16. P. A. Nelson and S. J. Elliott, Active Control of Sound. London, U.K.: Academic, 1992.
17. S. U. Pillai and T. I. Shim, Spectrum Estimation and System Identification. New York, NY: Springer-Verlag, 1993.
18. H. L. Trentelman and J. C. Willems, "The dissipation inequality and the algebraic Riccati equation," in The Riccati Equation, S. Bittanti, A. J. Laub, and J. C. Willems, Eds. New York: Springer-Verlag, 1991, pp. 197-242.
19. J. F. Traub, G. W. Wasilkowski, and H. Wozniakowski, Information-Based Complexity. New York: Academic, 1988.
20. J. C. Willems, "Dissipative dynamical systems - Part I: General theory," Arch. Rat. Mech. Anal., vol. 45, pp. 321-351, 1972.
21. _, "Dissipative dynamical systems - Part II: Linear systems with quadratic supply rates," Arch. Rational Mech. Anal., vol. 45, pp. 352-393, 1972.
22. D. C. Youla, J. J. Bongiorno, and C. N. Lu, "Single-loop feedback-stabilization of linear multivariable dyanmical plants," Automatica, vol. 10, 1974.