Abstract
This paper proposes a new approach to the H∞ control problem based on the notion of conjugation. A method of controller augmentation is introduced which leads to the formulation of H∞ control problem as a Jlossless conjugation. The complete characterization of the class of desired controllers is given in the state space for the so-called one-block problem. An extension of this result to the general four-block problem is briefly discussed.
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© 1990 Birkhäuser Boston
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Kimura, H. (1990). Conjugation and H∞Control. 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_28
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DOI: https://doi.org/10.1007/978-1-4612-4484-4_28
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8839-8
Online ISBN: 978-1-4612-4484-4
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