MIMO H-infinity Sensitivity Limits.

Thomas Brinsmead (University of Newcastle, Australia)

New results are presented giving PERFORMANCE LIMITS in the form of TIGHT LOWER BOUNDS on the achievable H-INFINITY NORM for the closed loop SENSITIVITY FUNCTIONS of linear time-invariant systems. Expressions are derived by direct evaluation of the norm of a matrix directly related to the Nevanlinna-Pick matrix, which arises from a frequency domain, model-matching optimisation approach to sensitivity minimisation. These performance limits are a FUNCTION OF both right-hand plane POLES AND ZEROES AND THEIR RELATIVE ALIGNMENT.

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