The following controllabilityobservability theorem is given without a proof. State space 6 equivalent models for a given transfer. Statespace representations of transfer function systems. The process is analogous to that used for odes but with the extra subtlety of allowing more complex numerators. This statespace realization is called controllable canonical form because the resulting model is guaranteed to be controllable i. Observable canonical form ocf another commonly used state variable form is the observable canonical form. Representing a system given by transfer function into observable canonical form for numerator polynomial degree is less than denominator polynomial degree is explained in this video.
Given the system transfer function having a denominator polynomial that can be. Observable canonical form ocf m less than n youtube. Introduction to dynamic systems network mathematics. To understand how this method works consider a third order system with transfer function. This resource shows how one can form a state space model from a transfer function.
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