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Alternative polynomial equation approach to LQ discrete-time feedback control. (English) Zbl 0875.93279

MSC:
93C80 Frequency-response methods in control theory
49N10 Linear-quadratic optimal control problems
93C55 Discrete-time control/observation systems
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References:
[1] K. J. Hunt M. Šebek M. J. Grimble: Optimal multivariable LQG control using a single diophantine equation. Internat. J. Control 46 (1987), 4, 1445-1453. · Zbl 0635.93021
[2] K. J. Hunt: Stochastic Optimal Control Theory with Applications in Self Tuning Control. Springer Verlag, Berlin–Heidelberg 1989. · Zbl 0667.93090
[3] J. Ježek K. J. Hunt: Coupled polynomial equations for LQ synthesis and an algorithm for solution. Internat. J. Control 58 (1993), 5, 1155-1167. · Zbl 0787.93029
[4] V. Kučera: Discrete Linear Control. Wiley, Chichester 1979.
[5] V. Kučera M. Šebek: A polynomial solution to regulation and tracking. Part I and II. Kybernetika 19 (1984), 3, 177-188 and 4, 257-282. · Zbl 0542.93013
[6] A. P. Roberts: Simpler polynomial solutions in control and fìltering. IMA J. Math. Control Inform. 3 (1986), 311-321. · Zbl 0635.93018
[7] A. P. Roberts: Simpler polynomial solutions in stochastic feedback control. Internat. J. Control 45 (1987), 117-126. · Zbl 0613.93068
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