IEEE Transactions on Automatic Control, Vol.47, No.2, 363-369, 2002
Simultaneous stabilization of MIMO systems via robustly stabilizing a central plant
In this note, a new formulation and solution to the simultaneous stabilization problem (SSP) is given. The new method is based on finding a central plant from a set of plants to be simultaneously stabilized. The theory of robust stabilization can then be applied to the central plant with a bounded perturbation, which encapsulates the plants to be stabilized, in order to solve the SSP.
Keywords:central plant;generalized two-block problem;robust stabilization;simultaneous stabilization