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A novel approach to the analysis and synthesis of controllers for parametrically uncertain systems

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

This paper presents a novel characterization of Hurwitz polynomials, and demonstrates its usefulness in analyzing parametrically uncertain systems and synthesizing robust controllers for such systems. The characterization is a variant of the Nyquist stability theorem, but unlike this theorem, it can prove a polynomial is Hurwitz from only approximate knowledge of the polynomial's phase at finitely many points along the imaginary axis

Published in:

IEEE Transactions on Automatic Control  (Volume:39 ,  Issue: 4 )