Multiobjective fixed-order controllers for MIMO systems

This paper studies the fixed-order controllers design problem for multi-input-multi-output (MIMO) systems. Polynomial methods are employed to design a controller that guarantees all the closed-loop poles reside within given D-stability regions. An Hinfin optimization approach is proposed to minimize the interaction between different channels of the MIMO system. Sufficient conditions for the existence of such a fixed-controller is established by using the linear matrix inequalities (LMIs) approach.