This paper considers the analysis and synthesis of control systems subject to two types of disturbance signals: white signals and signals with bounded power. The resulting control problem involves minimizing a mixed ℋ2 and ℋ∞ norm of the system. It is shown that the controller shares a separation property similar to those of pure ℋ2 or ℋ∞ controllers. Necessary conditions and sufficient conditions are obtained for the existence of a solution to the mixed problem. Explicit state-space formulas are also given for the optimal controller
Published in:
Automatic Control, IEEE Transactions on
(Volume:39
,
Issue:
8
)
Date of Publication: Aug 1994