Modern Wiener-Hopf Design of Optimal Controllers — Part II: The Multivariable Case

IEEE Transactions on Automatic Control

Volumn 21, Issue 3, 1976, Pages 319-338

  Youla, Dante C ^a   Bongiorno, Joseph J ^a   Jabr, Hamid A ^b  

^a POLYTECHNIC UNIVERSITY   (United States)

^b UNIVERSITY OF JORDAN   (Jordan)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, OPTIMAL - DESIGN;

CONTROL SYSTEMS, MULTIVARIABLE;

EID: 0016967032     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1976.1101223     Document Type: Article

References (19)

1. J. E. Weston and J. J. Bongiorno, Jr., “Extension of analytical design techniques to multivariable feedback control systems,” IEEE Trans. Automat. Contr., vol. AC-17, pp. 613–620, Oct. 1972.
2. D. C. Youla, “Modern classical multivariable feedback control theory: Part I,” Rome Air Development Center, Griffiss Air Force Base, NY, Tech Rep. RADC-TR-70–98, June 1970.
3. D. C. Youla, J. J. Bongiorno, Jr., and C. N. Lu, “Single-loop feedback stabilization of linear multivariable dynamical plants,” Automatica, vol. 10, pp. 159–173, 1974.
4. D. C. Youla, J. J. Bongiorno, Jr., and H. A. Jabr, “Modern Wiener-Hopf design of optimal controllers—Part I: The single-input-output case,” IEEE Trans. Automat. Contr., vol. AC-21, pp. 3–13, Feb. 1976.
5. H. W. Bode, Network Analysis and Feedback Design. New York: Van Nostrand, 1945.
6. D. C. Youla, “Network ideas applied to the design of optimal multivariable feedback controllers,” Polytechnic Inst. of New York, Farmingdale, Memo POLY-EE/EP-75-146, Dec. 1973.
7. G. C. Newton, Jr., L.A. Gould, and J. F. Kaiser, Analytical Design of Linear Feedback Controls. New York: Wiley, 1957.
8. D. C. Youla, “On the factorization of rational matrices,” IRE Trans. Inform. Theory, vol. IT-7, pp. 172–189, July 1961.
9. W. G. Tuel, Jr., “Computer algorithm for spectral factorization of rational matrices,” IBM J. Res. Develop., vol. 12, pp. 163–170, Mar. 1968.
10. H. H. Rosenbrock, State-Space and Multivariable Theory. New York: Wiley-Interscience, 1970.
11. R. E. Kalman, “Irreducible realizations and the degree of a rational matrix,” J. Soc. Industrial and Applied Mathematics, vol. 13, pp. 520–544, June 1965.
12. H. H. Rosenbrock, “Relatively prime polynomial matrices,” Electron. Lett., no. 4, pp. 227–228, 1968.
13. K. Hoffman and R. Kunze, Linear Algebra. Englewood Cliffs, NJ: Prentice-Hall, 1961.
14. R. T. Yanushevskii, “Synthesis of closed-loop multivariable con trol systems for a certain class of plants with delay,” Automation and Remote Control, pp. 1394–1402, Feb. 1975; Russian original, vol. 35, no. 9, pt.l, Sept. 1974.
15. I. M. Horowitz and U. Shaked, “Superiority of transfer function over state-variable methods in linear time-invariant feedback sys tem design,” IEEE Trans. Automat. Contr., vol. AC-20, pp. 84–97, Feb. 1975.
16. H. A. Jabr, “Modern analytical design of optimal multivariable control systems,” Ph.D. dissertation, Polytechnic Institute of New York, Farmingdale, 1975.
17. IEEE Trans. Automat. Contr. (Special Issue on Linear-Quadratic-Gaussian Problem), vol. AC-16, Dec. 1971.
18. H. Kwakernaak and R. Sivan, Linear Optimal Control Systems. New York: Wiley-Interscience, 1972.
19. I. M. Horowitz, Synthesis of Feedback Systems. New York: Academic, 1963.