H∞ control and estimation with preview-part II: fixed-size ARE solutions in discrete time

نویسندگان

  • Gilead Tadmor
  • Leonid Mirkin
چکیده

H∞ preview control and fixed-lag smoothing problems are solved in general discrete time linear systems, via a reduction to equivalent open loop differential games. To prevent high order Riccati equations, found in some solutions, the state of the Hamilton-Jacobi system (HJS) resides in a quotient space of an auxiliary extended state space system. The dimension of that auxiliary space is equal to the state space dimension of the original system (ignoring the delay).

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عنوان ژورنال:
  • IEEE Trans. Automat. Contr.

دوره 50  شماره 

صفحات  -

تاریخ انتشار 2005