A set of stabilizing PD controllers for multi-input-multi-output systems

For a multi-input multi-output (MIMO) system a set of stabilizing proportional derivative (PD) controllers was designed for each decoupled subsystem. The design approach is based on generalized result of the classical Hermite Biehler theorem. Stability analysis of the composite system with the designed set of decoupled controller parameter is studied via LMI framework. A genetic algorithm based search technique is adopted to select an optimal PD controller gain from a search space of PD stabilizing controllers. A MIMO system is considered to show the effectiveness of the design procedure.