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Direct synthesis of discrete-time feedback systems by equivalence transformations of polynomial matrices

Direct synthesis of discrete-time feedback systems by equivalence transformations of polynomial matrices

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It is shown that the synthesis of closed-loop linear multivariable discrete-time systems can be directly effected by performing equivalence transformations on appropriate polynomial matrices. These polynomial matrices are the Smith canonical forms of the closed-loop characteristic matrices of such systems subject to the constraints imposed by the fundamental theorem of linear state-variable feedback.

References

    1. 1)
      • S. Barnett . (1971) , Matrices in control theory.
    2. 2)
      • Kalman, R.E.: `Kronecker invariants and feedback', Proceedings of conference on ordinary differential equations, 1971, Washington DC.
    3. 3)
      • B.W. Dickinson . On the fundamental theorem of linear state variable feedback. IEEE Trans. , 577 - 579
    4. 4)
      • B. Porter . Design of time-optimal regulators for linear multi-variable discrete-time plants. Electron. Lett. , 196 - 197
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