Analysis of 3D Geometric Guidance Problem

Li, Chaoyong; Jing, Wuxing

doi:10.2322/tjsass.51.124

Cited by 3 publications

(13 citation statements)

References 16 publications

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“…Li et al. 23,36 transformed it into the time domain, without attenuation of the complexity. Li et al.…”

Section: Preliminariesmentioning

confidence: 99%

“…atθ is quite hard to obtain and is usually with large measurement noise and delay, which may greatly compromise the performance of the guidance law in practical interception missions, it was cleared in Li et al. 's work., 23,36 Then, for 3D DGGL, the available commanded acceleration with robustness should be …”

Section: Preliminariesmentioning

confidence: 99%

“…Although the performance of 3D DGGL was investigated before, 18,23,31,36 however, according to the authors' knowledge, this has not been thoroughly conducted and convincing theoretical results have not been obtained, especially when the target acceleration information is cleared from the guidance command and the scenery of intercepting a high-speed maneuvering target is considered. In this paper, the performance of 3D DGGL for intercepting the high-speed target with an arbitrary but up-bounded maneuvering acceleration will be studied by using the Lyapunov-like approach as used in literature.…”

Section: Performance Analysismentioning

confidence: 99%

“…The above Figure 3 is borrowed from Figure 2 in Li and Jing 36 to better show the capture condition, where the large circle means the moving range of ρtt while the inner circle indicates the moving range of tm. Since r·0<0, if a miss occurs during the guidance envelop, substituting equation (39) into equation (37) yields where subscript “ me ” means the condition which leads to a miss.…”

Section: Performance Analysismentioning

confidence: 99%

“…35 Later, the capturability of 3D DGGL against this type of target was interpreted as an initial capture condition. 36…”

Section: Introductionmentioning

confidence: 99%

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Performance analysis of differential geometric guidance law against high-speed target with arbitrarily maneuvering acceleration

Chen

2018

Proceedings of the Institution of Mechanical Engineers, Part G:

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The interception of high-speed target with an arbitrary maneuvering acceleration causes serious troubles to the guidance and control system design of airborne missile. A novel guidance law based on the classical differential geometry curve theory was proposed not long ago. Although it is believed and numerically demonstrated that this differential geometric guidance law (DGGL) is superior to the classical pure proportional navigation (PPN) in intercepting high-speed targets, its performance has not been thoroughly analyzed. In this paper, using the Lyapunov-like approach, the performance of DGGL against the high-speed target with an arbitrary but upper-bounded maneuvering acceleration is well studied. The upper bounds of the LOS rate and commanded acceleration of DGGL are obtained, and conditions that guarantee the capture of this type of maneuvering target are also presented. The nonlinear relative dynamics between the missile and target is taken into full account. Finally, the proposed theoretical findings are demonstrated by numerical simulation examples.

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“…Li et al. 23,36 transformed it into the time domain, without attenuation of the complexity. Li et al.…”

Section: Preliminariesmentioning

confidence: 99%