Construction of the maximal Schmidt pair for the 4-block H/sup infinity /-optimal control problem

Young, Jieh-Shian; Lin, Ching-Fang

doi:10.1109/9.151119

Cited by 3 publications

(3 citation statements)

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“…Nevertheless, it is sure in many cases due to our experience. since v*v = w*w. 17 Both v c (s) and w c (-s) are all-pass scalar functions. Without loss of generality, w c (-s)v~1(s) in Eq.…”

Section: Resultsmentioning

confidence: 99%

“…In this paper, the synthesis of the sublayers that refines the optimal solution of the major layer is considered. The maximal Schmidt pair of the four-block problem, which was introduced and constructed by Young and Lin,17 inspires the authors to complete the crucial idea in the four-block problem, while the two-block problem was studied in Ref. 18.…”

Section: P =mentioning

confidence: 99%

“…The Q opi can be solved by Q op t and Q' in Eq. (17). The state-space formula of K opi can be obtained by Copt-8 ' 10 ' 12 ' 14 Furthermore, the state-space descriptions of K opi can also be obtained by the same procedures as K opi .…”

Section: Design Proceduresmentioning

confidence: 99%

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Refined H-infinity-optimal approach to rotorcraft flight control

Young

Lin

1993

Journal of Guidance, Control, and Dynamics

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This paper introduces an approach to refine the //°°-optimal controller for the four-block H°° control problem. The second singular value of the compensated system can be analyzed and synthesized with a free parameter by the proposed approach. This approach is implementable in computation with an appropriate selection of a diagonalizing matrix pair. The H°° norm of the sublayers can, therefore, be improved. The characterization of the sublayers for the four-block problem is also completed. The problems that required higher robustness are suggested by this proposed approach. Furthermore, an engineering application concerning the rotorcraft flight control is provided. The simulation results bestow a promising progress both in the frequency domain and in the time domain. The gain margin, phase margin, settling time, and damping effect are improved in this example.

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Section: Resultsmentioning

confidence: 99%

Section: P =mentioning

confidence: 99%