Unified H∞ approach for a singularly perturbed aircraft model

H. Singh; D. S. Naidu; Mark L. Nagurka

Unified H_∞ approach for a singularly perturbed aircraft model

H. Singh, D. S. Naidu, Mark L. Nagurka

Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

5 Scopus citations

Abstract

This paper presents a unified approach to obtain simultaneously the continuous-time and discrete-time state space solutions for the composite state feedback control of singularly perturbed H_∞ systems. First, the scaled frequency domain realizations of dynamic systems are developed and then used to generate the unified H_∞ solutions that approach the H₂ solution as the unified H_∞ norm design parameter is allowed to approach infinity. The realizations also account for the non-orthogonal cost function terms that occur in the unified singularly perturbed slow subsystem. Next, the unified H₂ solutions are provided. Finally, the methodology is then applied to compute the reduced system, composite and full-order controllers gains for the dynamics of an F-8 aircraft model.

Original language	English (US)
Pages (from-to)	1847-1851
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	3
State	Published - Dec 1 2000
Event	2000 American Control Conference - Chicago, IL, USA Duration: Jun 28 2000 → Jun 30 2000

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abstract = "This paper presents a unified approach to obtain simultaneously the continuous-time and discrete-time state space solutions for the composite state feedback control of singularly perturbed H∞ systems. First, the scaled frequency domain realizations of dynamic systems are developed and then used to generate the unified H∞ solutions that approach the H2 solution as the unified H∞ norm design parameter is allowed to approach infinity. The realizations also account for the non-orthogonal cost function terms that occur in the unified singularly perturbed slow subsystem. Next, the unified H2 solutions are provided. Finally, the methodology is then applied to compute the reduced system, composite and full-order controllers gains for the dynamics of an F-8 aircraft model.",

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AU - Naidu, D. S.

AU - Nagurka, Mark L.

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Y1 - 2000/12/1

N2 - This paper presents a unified approach to obtain simultaneously the continuous-time and discrete-time state space solutions for the composite state feedback control of singularly perturbed H∞ systems. First, the scaled frequency domain realizations of dynamic systems are developed and then used to generate the unified H∞ solutions that approach the H2 solution as the unified H∞ norm design parameter is allowed to approach infinity. The realizations also account for the non-orthogonal cost function terms that occur in the unified singularly perturbed slow subsystem. Next, the unified H2 solutions are provided. Finally, the methodology is then applied to compute the reduced system, composite and full-order controllers gains for the dynamics of an F-8 aircraft model.

AB - This paper presents a unified approach to obtain simultaneously the continuous-time and discrete-time state space solutions for the composite state feedback control of singularly perturbed H∞ systems. First, the scaled frequency domain realizations of dynamic systems are developed and then used to generate the unified H∞ solutions that approach the H2 solution as the unified H∞ norm design parameter is allowed to approach infinity. The realizations also account for the non-orthogonal cost function terms that occur in the unified singularly perturbed slow subsystem. Next, the unified H2 solutions are provided. Finally, the methodology is then applied to compute the reduced system, composite and full-order controllers gains for the dynamics of an F-8 aircraft model.

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JF - Proceedings of the American Control Conference

SN - 0743-1619

T2 - 2000 American Control Conference

Y2 - 28 June 2000 through 30 June 2000

ER -

Unified H_∞ approach for a singularly perturbed aircraft model

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