By Vladimir Kučera (auth.), Professor Michael J. Grimble, Professor Vladimir Kučera (eds.)
This monograph was once prompted by way of a truly winning workshop held earlier than the third IEEE convention on choice and keep an eye on held on the Buena Vista lodge, lake Buena Vista, Florida, united states. The workshop was once held to supply an summary of polynomial method tools in LQG (or H ) and Hoo optimum keep watch over and a couple of estimation. The audio system on the workshop have been selected to mirror the real contributions polynomial suggestions have made to structures idea and in addition to teach the capability advantages which should still come up in actual purposes. An advent to H2 keep watch over concept for continuous-time structures is incorporated in bankruptcy 1. 3 diversified techniques are thought of masking state-space version descriptions, Wiener-Hopf move functionality tools and eventually polyno mial equation established move functionality ideas. the diversities and similarities among the suggestions are explored and the various assumptions hired within the options are mentioned. the normal regulate method description is intro duced during this bankruptcy and using Hardy areas for optimization. either regulate and estimation difficulties are thought of within the context of the normal procedure description. the educational bankruptcy concludes with a couple of absolutely labored ex amples.
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Additional resources for Polynomial Methods for Control Systems Design
Sample text
D, J. , 83, 95 - 107. Kucera, V. (1986). Stationary LQG control of singular systems. IEEE Trans. Automat. , AC-31, 31 - 39. Kucera, V. (1991). Analysis and Design of Discrete Linear Control Systems. Prentice Hall, London. Kucera, V. (1992). The rational H2 control problem. Proc. 31st IEEE Conf. Decision and Control, Tucson, AZ, 3610 - 3613. Park, K. J. Bongiorno (1989). A general theory for the Wiener-Hopf design of multivariable control systems. IEEE Trans. Automat. , AC-34, 619 - 626. A. Jonckheere, M.
38). 68). 3) and (WHA) guarantee that the spectral factors are non-singular and their inverses are analytic on the finite part of the imaginary axis. It is interesting to note that these assumptions are not necessary for the H2 optimal controller to exist. They are the best testable sufficient conditions available, however. 4. Comparison and examples 43 controller. Let us illustrate this fine point by the following example. 3) fail to hold. Nevertheless the H2 control problem has a solution. 28), however, has two non-negative definite solutions, PI = [~~], PI = [~~] of which none is stabilizing.
To delineate this set, it is first necessary to solve the intermediate problem of finding all admissible cascade compensators. The solution to be presented follows the paper by Park and Bongiorno (1989). 2, is internally stable. The following assumption states the stabilizability condition for the given plant M. 3. H2 21 control theory each minor assumed expressed as the ratio of two coprime polynomials. For any polynomial 'ljJ, we denote by 'ljJ+ the monic polynomial that absorbs all the zeros of 'ljJ (s) in Re s ~ o.