H∞ Model Reduction of Spatially Interconnected Systems with Finite Frequency Specifications

This paper is concerned with the problem of model reduction for spatially interconnected systems (SISs) over finite frequency ranges. A new technique for model reduction of SISs over middle-frequency ranges is first presented with the form of linear matrix inequalities (LMIs), which is also applicable to SISs over low-frequency ranges. Moreover, this technique is extended into the high-frequency case to cover all possible finite frequency ranges. A practical example is included to illustrate the effectiveness of the proposed method.