Characterization of the sub-layers for 2-block H∞-optimal control problem

Young, Jieh-Shian; Lin, Chin E.; Yeh, Fang-Bo

doi:10.1016/0167-6911(90)90111-7

Cited by 3 publications

(3 citation statements)

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“…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. Here the diagonalizing matrix pair of the four-block problem is constructed.…”

Section: P =mentioning

confidence: 97%

“…(18), of course 7' < 1], i.e., the// 00 norm of the sublayers can be improved by regulating Q'tRH™ in Eq. (18). In conclusion, the design procedure would be as follows.…”

Section: Design Proceduresmentioning

confidence: 98%

“…9, shows the standard general distance problem in H°° of the sublayers with any given Q opt € H. It is explicit that the H°°n orm of Eq. (18), which is the second singular value of Eq. (4), is under domination.…”

Section: Phase Margin = ^Cos^u -(Msv) 2 /2]mentioning

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: P =mentioning

confidence: 97%

“…(18), of course 7' < 1], i.e., the// 00 norm of the sublayers can be improved by regulating Q'tRH™ in Eq. (18). In conclusion, the design procedure would be as follows.…”

Section: Design Proceduresmentioning

confidence: 98%