×

zbMATH — the first resource for mathematics

Multivariable closed-loop deadbeat control: a polynomial-matrix approach. (English) Zbl 0497.93008

MSC:
93B05 Controllability
93C35 Multivariable systems, multidimensional control systems
93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
15A24 Matrix equations and identities
26C05 Real polynomials: analytic properties, etc.
93B40 Computational methods in systems theory (MSC2010)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Ackermann, J., Zeitoptimale mehrfach-abtastregelsysteme, (), Düsseldorf
[2] Ackermann, J., ()
[3] Bengtsson, G., Output regulation and internal models—a frequency domain approach, Automatica, 13, 333, (1977) · Zbl 0359.93009
[4] Cadzow, J.A., Nilpotency properties of the discrete regulator, IEEE trans aut. control, AC-13, 734, (1968)
[5] Eichstaedt, B., General method for the design of closed-loop systems with deadbeat performance and its applications, (), (Ph.D. thesis, in English)
[6] Föllinger, O., Synthese von mehrfachregelungen mit endlicher einstellzeit—ein vorschlag für den einsatz der direkten digitalen regelung DDC, Regelungstechnik, 16, 449, (1968) · Zbl 0176.06506
[7] Jordan, D.; Korn, J., Deadbeat algorithms for multivariable process control, IEEE trans aut. control, AC-25, 486, (1980) · Zbl 0429.93047
[8] Kaczorek, T., Deadbeat control of single-input single-output linear time-invariant systems, Int. J. systems sci., 11, 411, (1980) · Zbl 0442.93022
[9] Kaczorek, T., Deadbeat control of single-input single-output linear time-varying discrete-time systems, Int. J. systems sci., 11, 423, (1980) · Zbl 0442.93023
[10] Kalman, R.E.; Bertram, J.E., General synthesis procedure for computer control of single-loop and multi-loop linear systems, Trans. AIEE, 77, 602, (1958)
[11] Kalman, R.E., On the general theory of control systems, (), 2020-2030
[12] Kučera, V., Algebraic theory of discrete optimal control for single-variable systems, part 2. open-loop control, Kybernetika, 9, 206, (1973) · Zbl 0269.49005
[13] Kučera, V., Algebraic theory of discrete optimal control for multivariable systems, Kybernetika, 10, 1, (1974), (Published in instalments)
[14] Kučera, V., Algebraic approach to discrete linear control, IEEE trans aut. control, AC-20, 116, (1975) · Zbl 0298.93006
[15] Kučera, V., ()
[16] Kučera, V., A dead-beat servo problem, Int. J. control, 32, 107, (1980) · Zbl 0438.93048
[17] Kučera, V., Polynomial design of deadbeat control laws, Kybernetika, 16, 198, (1980) · Zbl 0444.93030
[18] Leden, B., Dead-beat control and the Riccati equation, IEEE trans aut. control, AC-21, 791, (1976) · Zbl 0334.93059
[19] Leden, B., Multivariable dead-beat control, Automatica, 13, 185, (1977) · Zbl 0346.93028
[20] Mullis, C.T., Time optimal discrete regulator gains, IEEE trans aut. control, AC-17, 265, (1972) · Zbl 0265.93019
[21] O’Reilly, J., The deadbeat control of linear multivariable systems with inaccessible state, Int. J. control, 31, 645, (1980) · Zbl 0433.93037
[22] O’Reilly, J., The discrete linear time-invariant time-optimal control problem—an overview, Automatica, 17, 363, (1981) · Zbl 0463.49003
[23] Rosenbrock, H.H., ()
[24] Strejc, V., ()
[25] Šebek, M., Multivariable dead-beat servo problem, Kybernetika, 16, 442, (1980) · Zbl 0455.93041
[26] Tou, J.T., ()
[27] Wolovich, W.A., ()
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.