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Finite frequency tests for robust performance of systems with real parameter uncertainty

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1 Author(s)
T. E. Djaferis ; Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA

Single-input single-output (SISO) plant families with linear real parameter uncertainty in the numerator and denominator of their transfer functions are considered. It is assumed that the controller has been chosen and a bound given on the sensitivity. A finite test for checking robust performance is developed. It is shown that for SISO plant families with linear uncertainty, performance objectives can be checked by finite tests involving a finite number of frequencies. The one-, two-, and three-parameter cases are treated in detail and the general case is commented upon. The discussion focuses on tracking but other problems can be formulated in this manner and solved

Published in:

IEEE Transactions on Automatic Control  (Volume:36 ,  Issue: 12 )