Basic Properties of Multivariable Feedback Systems

  • Uwe Mackenroth


As we have seen in Chap. 2, the linearized model of the plant consists of a system of linear differential equations for its physical states. The inputs of the plant are the control u and the disturbance d and output is the variable to be controlled y, which is also the measurement. In classical control theory, the differential equations are used to calculate the transfer functions and the controller makes use only of the output variable. The states are no longer present and consequently they are not fed back.


State Feedback Feedback System MIMO System Step Response Gain Matrix 
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Notes and References

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    Popov, V. M.: The solution of a new stability problem for controlled systems, Autom. Remote Control, 24, pp. 1–23,1963.zbMATHGoogle Scholar
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    Wonham, W. M.: On pole assignment in multi-input controllable linear systems, IEEE Trans. Autom. Control, 12, pp. 660–665, 1967.CrossRefGoogle Scholar
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    Kautsky, J., Nichols, N. K. and Van Dooren, P.: Robust pole assignment in linear state feedback, Int. J. Control, 41,1129–1155,1985.zbMATHCrossRefGoogle Scholar
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    Zhou, K., Doyle, J. and Glover, K.: Robust and Optimal Control, Prentice Hall, Englewood Cliffs, New Yersey, 1995.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Uwe Mackenroth
    • 1
  1. 1.FB Maschinenbau und WirtschaftsingenieurwesenFachhochschule Lübeck University of Applied SciencesLübeckGermany

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