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Necessary and sufficient conditions for controllability of multivariable systems incorporating integral feedback

Necessary and sufficient conditions for controllability of multivariable systems incorporating integral feedback

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Necessary and sufficient conditions are derived for controllability of linear multivariable time-invariant systems incorporating feedback of the integrals of some or all of the state variables. The results extend recent work by Porter and Power on establishing necessary conditions for controllability of such systems.

References

    1. 1)
      • B. Porter , H.M. Power . Controllability of multivariable systems incorporating integral feedback. Electron. Lett. , 689 - 690
    2. 2)
      • F. Ayres . (1962) , Theory and problems of matrices.
    3. 3)
      • W.M. Wonham . On pole-assignment in multi-input controllable systems. IEEE Trans. , 660 - 665
    4. 4)
      • B.D.O. Anderson , D.G. Luenberger . Design of multivariable feedback systems. Proc. IEE , 395 - 399
    5. 5)
      • D.G. Retallack , A.G.J. Macfarlane . Pole-shifting techniques for multivariable systems. Proc. IEE , 1037 - 1038
    6. 6)
      • B. Porter . (1969) , Synthesis of dynamical systems.
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