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The state equation in the phase canonical form can be obtained from the transfer function by:

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The state equation in the phase canonical form can be obtained from the transfer function by:

(a) Cascaded decomposition

(b) Direct decomposition

(c) Inverse decomposition

(d) Parallel decomposition

This question was addressed to me by my college professor while I was bunking the class.

My doubt stems from State Variable Analysis topic in chapter Time Response Analysis, Design Specifications and Performance Indices of Control Systems

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The correct choice is (d) Parallel decomposition

For explanation: The state equation from transfer function by parallel decomposition in the phase canonical form.

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