Multipurpose deadbeat controllers for multivariable systems. (English) Zbl 0637.93034

Lin, Chih-Min; Chen, Bor-Sen

Int. J. Syst. Sci. 18, 1979-1993 (1987).

Design of multivariable deadbeat controllers is discussed in this paper. The design is based on the classical transfer function

•  Encyclopedia of Mathematics
•  Wikipedia
•  Wolfram MathWorld

method developed by M. G. Safonov and B.-S. Chen [IEE Proc., Part D 129, 276- 282 (1982)]. The results obtained in this paper achieve the following objectives. (1) Input-output decoupling. (2) Deadbeat tracking of any prespecified class of changeable deterministic reference signals. (3) Rejection of changeable deterministic disturbances.
The plant may be both uncontrollable and non-minimum phase. Solving complicated Diophantine equations

•  Encyclopedia of Mathematics
•  Wikipedia
•  Wolfram MathWorld

is not needed. The reviewer thinks that non requirement of minimum phase comes from restricting reference signals and disturbances to a class of signals, the z transforms of which have known denominators. Without such a restriction, the plant should be of minimum phase.

Reviewer: K.Ichikawa

MSC:

93C35	Multivariable systems, multidimensional control systems
93B50	Synthesis problems
93C55	Discrete-time control/observation systems
93B40	Computational methods in systems theory (MSC2010)

Keywords:

multivariable deadbeat controllers; transfer function method; Input- output decoupling; Deadbeat tracking; Rejection of changeable deterministic disturbances; time-invariant

References:

[1]	DOI: 10.1080/00207178408933341 · Zbl 0546.93027 · doi:10.1080/00207178408933341
[2]	DOI: 10.1016/0045-7906(80)90035-X · Zbl 0459.93042 · doi:10.1016/0045-7906(80)90035-X
[3]	DOI: 10.1109/TAC.1985.1103964 · Zbl 0581.93019 · doi:10.1109/TAC.1985.1103964
[4]	DOI: 10.1016/0005-1098(82)90010-3 · Zbl 0497.93008 · doi:10.1016/0005-1098(82)90010-3
[5]	DOI: 10.1109/TAC.1982.1102818 · Zbl 0469.93057 · doi:10.1109/TAC.1982.1102818
[6]	DOI: 10.1109/TAC.1980.1102371 · Zbl 0429.93047 · doi:10.1109/TAC.1980.1102371
[7]	KACZOREK T., Int. J. Control 11 pp 411– (1980)
[8]	DOI: 10.1109/TAC.1981.1102806 · Zbl 0465.93050 · doi:10.1109/TAC.1981.1102806
[9]	KUČERA V., Discrete Linear Control. The Equation Approach (1979)
[10]	DOI: 10.1109/TAC.1984.1103621 · Zbl 0544.93022 · doi:10.1109/TAC.1984.1103621
[11]	Kuo B. C., Digital Control Systems (1980)
[12]	LEDEN B., Int. J. Control 26 pp 493– · Zbl 0374.93017 · doi:10.1080/00207177708922325
[13]	DOI: 10.1080/00207178008961072 · Zbl 0433.93037 · doi:10.1080/00207178008961072
[14]	DOI: 10.1080/00207177508922071 · Zbl 0309.93009 · doi:10.1080/00207177508922071
[15]	SAFONOV , M. G. , and CHEN , B. S. , 1982 ,Proc. Instn elect. Engrs, PH D , 129 , 276 .
[16]	SHIH F. Y., Proc. Instn elect. Engrs 130 pp 119– (1983)
[17]	DOI: 10.1109/TAC.1985.1103912 · Zbl 0551.93030 · doi:10.1109/TAC.1985.1103912
[18]	DOI: 10.1109/TAC.1976.1101223 · Zbl 0339.93035 · doi:10.1109/TAC.1976.1101223