The standard state space solutions to the ℋ∞ control problem for linear time-invariant systems are generalized to nonlinear time-invariant systems. A class of local nonlinear (output feedback) ℋ∞-controllers are parameterized as nonlinear fractional transformations on contractive, stable nonlinear parameters. As in the linear case, the ℋ∞ control problem is solved by its reduction to state feedback and output estimation problems, together with a separation argument. Sufficient conditions for ℋ∞-control problem to be locally solved are also derived with this machinery
Published in:
Automatic Control, IEEE Transactions on
(Volume:39
,
Issue:
12
)
Date of Publication: Dec 1994