Distributed Robust Control of Spatially Interconnected Systems with Parameter Uncertainty

This paper addresses the problem of robust control of spatially interconnected systems (SISs) subject to both exogenous disturbances and time-varying norm-bounded parameter uncertainties. A sufficient condition to the well-posedness, stability and attractiveness of an SIS with respect to all admissible uncertainties is presented in terms of a set of matrix inequalities. For the synthesis of distributed dynamic output feedback controllers, the nominal system is expanded in its output space so as to eliminate the uncertainties in the system matrices. In reference to the standard distributed scaled H-infinity control, the synthesis of distributed robust H-infinity controllers is proposed based on the system model in the expanded space. Numerical examples validate the effectiveness of the method.