Distributed fixed-structure control of spatially interconnected systems

Novel stability and quadratic performance conditions in LMI form are presented that allow the design of fixed-structure controllers for linear time-space-invariant spatially interconnected systems in input-output form. By using an implicit distributed input-output representation, Finsler´s Lemma can be applied, while avoiding issues resulting from non-causality of spatially interconnected systems. An illustrative example is used to compare distributed fixed-structure and full-order designs to control spatially interconnected systems.