Initial conditions of linear inverse system control in observable canonical form

Based on the inverse system, a control synthesis method is presented for the SISO linear continuous system in time domain. Several initial conditions to achieve the ideal inverse system control in special state-space model is deduced, and verified by simulation. The result shows that the system initial state has effect on its performance. Set the initial state of the controller as adjustable parameters, then the impact on the initial state of the object can be offset. Therefore, the command signal can be completely tracked by the system output, thus gives the ideal control.