Synthesis of MIMO system structures with low frequency-weighting sensitivity

The synthesis of multi-input multi-output (MIMO) linear discrete-time systems with low sensitivity is discussed. The system structure is synthesized so as to minimize a performance index defined by sensitivities with frequency weighting functions under an l/sub 2/ scaling constraint on the state variables and under no scaling constraint, respectively. It is shown that, as a result, the system structure which minimizes the performance index does not coincide with the realization being balanced in the wide sense.<
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