A PARAMETERIZATION OF ALL THE UNFALSIFIED PLANT-MODELS FOR MIMO SYSTEMS

In this paper, the results on the parameterization of all the unfalsif ied models for single-input/single-output systems are extended to mult i-input/multi-output systems. In this parameterization, the assumed a priori plant and noise information are upper bounds of the H-infinity- norm of the plant matrix-valued transfer function and the noise magnit ude, The parameterization is on the basis of several series of plant t ime-domain identification experiment data. It is shown that for multi- input/multi-output systems, all the unfalsified plant matrix-valued tr ansfer functions can still be expressed by the linear fractional trans formation of a fixed matrix-valued transfer function and an H-infinity -norm bounded structure fixed, but uncertain matrix-valued transfer fu nction, However, the high dimensions of the matrix-valved transfer fun ctions involved in the parameterization hamper the direct application of these results to robust controller design, To overcome these diffic ulties, further efforts are needed.