Joint model and scheduling order reduction via balanced truncation for parameter-varying spatially interconnected systems

This paper presents a balanced truncation technique for model and scheduling order-reduction (i.e. reduction of number of states as well as of scheduling parameters) of exponentially stable temporal- and spatial-LPV interconnected systems. The reduction is based on the application of the full block S-procedure, using both Constant Gramians (CGs) and Parameter-Dependent Gramians (PDGs). The reduced models preserve exponential stability and the spatial structure of the system. The proposed method is demonstrated on an experimentally identified spatially interconnected model of an actuated beam.