Synthesis of Discrete Steady-State Error Free Modal State Controller Based on Predefined Pole Placement Area and Measurable State Variables

One of the most frequently used approaches to dynamic response analysis of linear time-invariant systems modeling, is so called modal control, which is related to the assignment of the closed-loop poles to an arbitrary predefined set of points in the complex plane. For continuous-time systems the pole placement could be assigned to predefined values or into areas which should be distributed in the left half plane of the complex plane. In terms of discrete-time systems areas desired must be within the unit circle in the z-plane. Regardless of the method chosen for the pole placement there are two different approaches depending on the information used in control processing: output feedback pole placement and state feedback pole placement.

The entire case study will develop the second approach state feedback pole placement for which are known two possible solutions – all state space variables are measurable and known and the second option is related to information only partially available for the state space variables which is a little bit more complex task in terms of analysis and realization of modal control methods. Thus it will be a matter of further investigations.