Design of Robust Multivariable Controllers
Final rept. 5 Apr 1988-13 Apr 1990
DREXEL UNIV PHILADELPHIA PA
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Two major problems, the solution of H infinity optimization problem and the computation of the real structured singular value, are addressed in the report. The observer based controller parameterization, inner-outer factorization, and a state-space size-reduction technique were used to simplify the H infinity formulation and a fast gamma-iteration algorithm was proposed to compute the optimal H infinity norm of a 2-Block problem. The DGKFs two-riccati equation method was employed to design a nearly H infinity optimal controller for a 4-Block problem. An iterative approach for computing the real structured singular value was developed based on a multilinear mapping from the parameter space to the coefficient space, edge theorem, parameter domain partitioning, and a fast stability checking of the segment of a polytope.
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