Abstract
In this paper we study the finite horizon version of the standard H ∞ control problem by measurement feedback. Given a finite-dimensional linear, time-invariant system, together with a positive real number γ, we obtain necessary and sufficient conditions for the existence of a possibly time-varying dynamic compensator such that the L 2[0,T] -induced norm of the closed loop operator is smaller than . γ. These conditions are expressed in terms of a pair of quadratic differential inequalities, generalizing the well-known Riccati differential equations that were introduced recently in the context of finite horizon H ∞ control.
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References
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© 1991 Springer Science+Business Media New York
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Trentelman, H.L., Stoorvogel, A.A. (1991). Completion of the Squares in the Finite Horizon H ∞ Control Problem by Measurement Feedback. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_87
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_87
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
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