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hello everyone and welcome to control engineering tutorials this tutorial is dedicated to the controllable canonical form briefly speaking let us say that we have a transfer function given over here and over here for illustration purposes I consider a third order system the goal is to transform this transfer function into a state-space model the state space model structure is given over here and this particular form of the state space model is called the controllable canonical form the controllable canonical form is very useful and itamp;#39;s used as a basis of a number of control engineering methods and algorithms for example if you have a state-space model in the controllable canonical form itamp;#39;s very easy to assign poles of a closed loop system by using the simple feedback and with little or no computation we can Define and we can find the feedback control Matrix K that stabilizes such a system furthermore if the controllable canonical form exists then we know that the syst