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The state space approach to H∞ control problem, proposed by DGKF [1], is an limportant contribution to both robust control theory and engineering. The central part of the design procedure by using this method is to solve two indefinite Riccati equations. The solutions are functions of a parameter γ. In this paper, the structure of the γ-domain on which the Riccati solutions exist and/or are positive...
A new method for computing G∞, the H∞ norm of a given transfer function G(s) is proposed. In this paper, we use the pole-zero diagram of G(s), the root locus concept, and the jω-axis transmission zeros of γ2I-GT(-s)G(s) to quickly locate a narrow frequency interval which brackets the supremum of [G(jω)]. Then Brent's method (an improved parabolic interpolation search method) is employed to find the...
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