Solving weighted mixed sensitivity H∞ problem by decentralised control feedback

This paper considers the problem of achieving stability and certain H∞ performances for a large-scale system by a decentralised control feedback law. The performance problem is formulated as a standard weighted mixed sensitivity H∞ problem. Then, to solve the proposed problem a modification of the original weighting functions is presented. Some sufficient conditions are introduced to ensure the overall stability and performance of the large-scale system. Finally, an example is used to show the effectiveness of the proposed methodology.