Influence of Seeker Disturbance Rejection and Radome Error on the Lyapunov Stability of Guidance Systems

Kaiwei Chen; Qunli Xia; Xiao Du; Yuemin Yao

doi:10.1155/2018/1890426

Influence of Seeker Disturbance Rejection and Radome Error on the Lyapunov Stability of Guidance Systems

Kaiwei Chen^*, Qunli Xia, Xiao Du, Yuemin Yao

^*Corresponding author for this work

School of Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

This study analyzes the effects of disturbance rejection and radome error on the stability of guidance systems. First, disturbance rejection rate transfer function (DRRTF) models are established. Second, the Lyapunov stability of a proportional navigation guidance system is proposed. The passivity theorems are introduced for the analysis of the Lyapunov stability of the nonlinear time-varying system. Finally, the influence of the different DRRTF models on the stability of the guidance system is analyzed by mathematical simulations. The simulation results indicate that the stable boundary of the guidance system varies and its tolerance to disturbance differs significantly for various disturbance torque types and radome slope.

Original language	English
Article number	1890426
Journal	Mathematical Problems in Engineering
Volume	2018
DOIs	https://doi.org/10.1155/2018/1890426
Publication status	Published - 2018

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Chen, K., Xia, Q., Du, X., & Yao, Y. (2018). Influence of Seeker Disturbance Rejection and Radome Error on the Lyapunov Stability of Guidance Systems. Mathematical Problems in Engineering, 2018, Article 1890426. https://doi.org/10.1155/2018/1890426

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abstract = "This study analyzes the effects of disturbance rejection and radome error on the stability of guidance systems. First, disturbance rejection rate transfer function (DRRTF) models are established. Second, the Lyapunov stability of a proportional navigation guidance system is proposed. The passivity theorems are introduced for the analysis of the Lyapunov stability of the nonlinear time-varying system. Finally, the influence of the different DRRTF models on the stability of the guidance system is analyzed by mathematical simulations. The simulation results indicate that the stable boundary of the guidance system varies and its tolerance to disturbance differs significantly for various disturbance torque types and radome slope.",

author = "Kaiwei Chen and Qunli Xia and Xiao Du and Yuemin Yao",

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AU - Chen, Kaiwei

AU - Xia, Qunli

AU - Du, Xiao

AU - Yao, Yuemin

PY - 2018

Y1 - 2018

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AB - This study analyzes the effects of disturbance rejection and radome error on the stability of guidance systems. First, disturbance rejection rate transfer function (DRRTF) models are established. Second, the Lyapunov stability of a proportional navigation guidance system is proposed. The passivity theorems are introduced for the analysis of the Lyapunov stability of the nonlinear time-varying system. Finally, the influence of the different DRRTF models on the stability of the guidance system is analyzed by mathematical simulations. The simulation results indicate that the stable boundary of the guidance system varies and its tolerance to disturbance differs significantly for various disturbance torque types and radome slope.

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Influence of Seeker Disturbance Rejection and Radome Error on the Lyapunov Stability of Guidance Systems

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