ABSTRACT
The state variable model of a dynamic system comprises first-order differential equations that express the time derivatives of a set of state variables, selected to adequately describe system behavior. The state variables are often selected as the natural variables associated with the energy storage elements present in the system. Examples of such variables are the capacitor voltages and inductor currents in electrical circuits, and the displacement and velocity of the inertial elements in mechanical systems. The state feedback controller refers to feeding back the state variables and using that information to control the plant input as a means to steer the plant output. The overall design goal remains to cause the output to meet the specified design criteria. The state feedback design involves feeding back all the state variables to generate the error signal. The controller design for the state variable system models is relatively easier if the system and input matrices are in controller form.
