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This paper presents an approach to refine H∞. optimal controller for the 4-block H∞ control problem. The diagonalizing matrix pair which connects the successive layers is constructed. The second singular value of the compensated system can be analyzed and synthesized with a free parameter by the proposed approach which is implementable in computation with appropriate selection of diagonalizing matrix...
All optimal solutions of the 2-block H∞ control problem are parametrized by an alternative approach in this paper. The diagonalizing matrix pair is used to connect the successive layers as well as to characterize the sub-layers. The parameter which is one of the suboptimal solutions of the sub-layers parametrizes all optimal solutions. It reflects the performance of the sub-layers simultaneously....
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