Optimal, Low-sensitivity, Feedback Controllers for Interconnected Discrete-Time Systems

A Large-cale, interconnected, discree-time system is considered. The system consists of an uncontrolled main subsystem which communicates directly with N local subsystems all of which have inputs. There is no direct communication from one local subsystem to another. Futhermore, it is assumed that there are uncertain parameters involved in all the subsystems. The treated problem is to design state feadback controlles for all the sub-system by minimizing a performance index while reducing trajectory sensitivities with respect to the uncertain parameters of the subsytems.