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Strengthened H control via state feedback: a majorization approach using algebraic Riccati inequalities

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1 Author(s)
Foo, Y.K. ; Leun Wah Electr. Co. Pte Ltd., Singapore

We extend the algebraic Riccati equation approach to H/H2 state-feedback design to incorporate additional constraints on the other (nonmaximum) singular values. It is shown that a state-feedback control law that satisfies a singular-values/singular-vectors constraint exists if and only if a corresponding algebraic Riccati inequality admits a stabilizing and positive-definite solution. The results are applied to devise a majorization approach for constructing state-feedback controllers that strive to optimize some obvious design objectives.

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Automatic Control, IEEE Transactions on  (Volume:49 ,  Issue: 5 )