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control of nonlinear systems via output feedback: controller parameterization

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2 Author(s)
Wei-Min Lu ; Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA ; Doyle, J.C.

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

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Automatic Control, IEEE Transactions on  (Volume:39 ,  Issue: 12 )