Use of a Luenberger observer to control the numerator and denominator of a transfer function

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Use of a Luenberger observer to control the numerator and denominator of a transfer function

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© The Institution of Electrical Engineers
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It is shown that a Luenberger observer may be used to convert a transfer function having a numerator of degree m and a denominator of degree n (with m≤n−1) into one having a numerator of degree n+m−1 and a denominator of degree 2n−1, with the denominator polynomial and n−1 of the numerator coefficients assignable arbitrarily.

Inspec keywords: transfer functions

Other keywords: transfer functions

Subjects: General system theory; Control system analysis and synthesis methods

References

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      • H.M. Power . On the solution of a matrix equation in the theory of Luenberger observers. IEEE Trans.
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      • H.M. Power . Effect of state-variable feedback on numerators of transfer functions. Electron. Lett. , 490 - 491
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      • D.G. Luenberger . Observers for multivariable systems. IEEE Trans. , 190 - 197
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      • F. Fallside . Pole and zero assignment for linear multivariable systems using unity-rank feedback. Electron. Lett. , 324 - 325
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      • D.G. Luenberger . Observing the state of a linear system. IEEE Trans. , 74 - 80
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