ℋ∞ control of nonlinear systems via output feedback: controller parameterization
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.
© 1994 IEEE. Reprinted with permission. Manuscript received April 12, 1993; revised February 7, 1994. This work was supported in part by NSF, AFOSR, and ONR. The authors would like to thank K. Astrom, M. A. Dahleh, and R. Murray for extensive discussion during this work. They also acknowledge some helpful comments by the anonymous reviewers.
Published - LUWieeetac94.pdf