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Formulas on Preview and Delayed H^{\infty } Control

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2 Author(s)
Kojima, A. ; Fac. of Syst. Design, Tokyo Metropolitan Univ ; Ishijima, S.

A generalized Hinfin control problem, which covers preview and delayed control strategies, is discussed based on a state-space approach. By introducing a Hamiltonian matrix, which is associated with a delay-free generalized plant, the analytic solution to the corresponding operator Riccati equation is newly established. Based on the result obtained here, the Hinfin control problem is solved and, for typical control problems (e.g., Hinfin and linear quadratic (LQ) control for multiple input delay systems, Hinfin preview control), some interpretations are provided on the resulting control system

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Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 12 )