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Anticipation in discrete-time LQ control. I: Open-loop control. (English) Zbl 0864.93072
An open-loop SISO discrete-time LQ control problem is considered. A process output should track a reference signal under existence of a possible load disturbance and some nonzero initial conditions. The case is considered when it is known some time in advance when and how the input signals will turn in the future. Then a control action need not wait for such a determined change but can anticipate it. It is noted that the idea of anticipation may be simply realized in a computer-controlled process using a polynomial system and signal description. The considerations are illustrated in an example.

93C55 Discrete-time control/observation systems
49N10 Linear-quadratic optimal control problems
93C05 Linear systems in control theory
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[1] B. D. O. Anderson, J. B. Moore: Optimal Control - Linear Quadratic Methods. Prentice-Hall, Englewood Cliffs 1989. · Zbl 0751.49013
[2] K. J. Astrom, B. Wittenmark: Computer Controlled Systems. Prentice-Hall, Englewood Cliffs 1984.
[3] S. S. L. Chang: Synthesis of Optimum Control Systems. McGraw-Hill, New York 1961.
[4] K. J. Hunt: Stochastic Optimal Control Theory with Application in Self Tuning Control. Springer Verlag, Berlin - Heidelberg 1989. · Zbl 0667.93090
[5] J. Ježek: Symmetric polynomial equations. Part I. Kybernetika 19 (1983), 2, 121-130.
[6] J. Ježek: Conjugated and symmetric polynomial equations. Part II. Kybernetika 19 (1983), 3, 196-211. · Zbl 0556.93044 · eudml:28071
[7] V. Kučera: Discrete Linear Control. Wiley, Chichester 1979.
[8] A. P. Sage: Optimum Systems Control. Prentice-Hall, Englewood Cliffs 1968. · Zbl 0192.51502
[9] J. Štěcha, V. Havlena: Coupled tanks. Preprints of International Summer School, ČVUT - ÚTIA, Praha 1992.
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