By Hunt, Kenneth J
This booklet goals to illustrate the ability and breadth of polynomial tools within the regulate of engineering structures and the filtering of indications. utilizing commissioned contributions from popular foreign experts, the publication progresses logically from the mandatory historical past fabric (given at an instructional level), via fresh theoretical and functional advancements, to designated presentation of numerical algorithms
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Additional info for Polynomial methods in optimal control and filtering
Automatic Control, vol. 21, pp. 3-14, 1976.  D. C. Youla, H. A. Jabr, and J. J. Bongiorno, "Modern Wiener-Hopf design of optimal controlers, Part II: The multivariable case," IEEE Trans. Automatic Control, vol. 21, pp. 319-338, 1976.  0 . Zariski and P. Samuel, Commutative Algebra, Vol. I, New York: Van Nostrand, 1958. Chapter 2 2 Control Problems K. J. Hunt, M. Sebek and V. 1 Introduction There are at least three significant approaches to the design of linear H2 (or LQ-) optimal controllers for multivariable plants.
J. Astrom , Introduction to Stochastic Control Theory. New York: Academic Press, 1970.  H. Blomberg and R. Ylinen, Algebraic Theory for Multivariable Linear Systems. London: Academic Press, 1983.  F. M. Callier and C. A. Desoer, "An algebra of transfer functions of distributed linear time-invariant systems," IEEE Trans. Circuits and Systems, vol. 25, pp. 651-662, 1978.  F. M. Callier and C. A. Desoer, "Stabilization, tracking and disturbance rejection in multivariable convolution systems," Annales de la Societe Scientifique de Bruxelles, vol.
However, it is undesirable to have a number of theories each being specific to only one control structure. Instead, one "general" solution is desirable which, of course, can be simplified (adjusted) for every particular practical design. A solution of such generality has been obtained; it is known as the standard problem and a polynomial solution can be found in [11, 12]. It is the aim of this chapter to provide an overview of the results mentioned above. In particular, we present the following: • a brief review of the historical development of explicit model problems including pure regulation, reference tracking, and measurable disturbance feedforward, 30 H?
Polynomial methods in optimal control and filtering by Hunt, Kenneth J