Abstract
Consider a transfer function family n(s)/d(s) where n(s) ε N with N being an interval of polynomials. In this paper we study the problem of designing a d(s) such that n(s)/d(s) is strictly positive real for all choices n(s) from N. A necessary condition for the existence of such a d(s) is that N be stable. We show that this condition is also sufficient for low degree systems (degree ≤ 3) and when N has some added structure.
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© 1990 Birkhäuser Boston
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Hollot, C.V., Huang, L., Xu, ZL. (1990). Designing Strictly Positive Real Transfer Function Families: A Necessary and Sufficient Condition for Low Degree and Structured Families. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Robust Control of Linear Systems and Nonlinear Control. Progress in Systems and Control Theory, vol 4. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4484-4_19
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DOI: https://doi.org/10.1007/978-1-4612-4484-4_19
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8839-8
Online ISBN: 978-1-4612-4484-4
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