Longitudinal collision risk of CSPRs paired approach under fuzzy PID control

doi:10.16265/j.cnki.issn1003-3033.2023.11.0895

Abstract

Abstract:

In order to control the longitudinal collision risk of CSPRs approach and improve the operation safety of the program, firstly, based on QAR data, the velocity variation characteristic of aircraft in the approach process was analyzed, and its positioning error distribution in the approach phase was fitted. Secondly, considering the influence of the wake of the front aircraft, a longitudinal collision risk model of the paired approach based on position error was established, and the optimal longitudinal interval between the front aircraft and the rear aircraft was calculated. Then, the System Identification toolbox of Matlab was used to fit and identify the relevant data of engine thrust handle angle and aircraft speed change, and the transfer function of their corresponding relationship was obtained. According to this function, a fuzzy PID control system was designed to keep the collision risk to a minimum by controlling the longitudinal interval between the front and rear aircraft. Finally, the control system was verified by Simulink, and the results show that the fuzzy PID control system in this article performs better than traditional PID control systems in response time, overshoot, and stability. The fuzzy PID system can control the longitudinal collision risk of the front and rear aircraft to the lowest value within 50 seconds (1.72×10^-38 accidents/flight hours), and maintains this value throughout the entire pairing process.

Key words: proportional integral derivative (PID) control, closely spaced parallel runways(CSPRs), paired approach, longitudinal collision risk, positioning error

LU Fei, CHEN Haonan. Longitudinal collision risk of CSPRs paired approach under fuzzy PID control[J]. China Safety Science Journal, 2023, 33(11): 97-104.

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参数	取值	参数	取值
V_i/(m·s^-1)	88	v_w/(m·s^-1)	3
V_j/(m·s^-1)	90	v_g/(m·s^-1)	2
D/m	365	θ /(°)	90
β /(°)	3	h_SAP/m	305
S₀/m	1 800	h_THR/m	15
λ_xl/m, λ_xt/m	39.5	a/(m·s-2)	-0.053
λ_yl/m, λ_yt/m	35.8	μ₁=μ₂	123.8
∂ /(°)	3	σ₁=σ₂	112.6

e	e_c
e	NB	NM	NS	ZO	PS	PM	PB
NB	PB/NB/PB	PB/NB/PB	PM/NM/PM	PM/NM/PM	PM/NM/PM	PB/NB/PB	PB/NB/PB
NM	PB/NB/PB	PB/NB/PB	PM/NM/PS	PM//NM/PS	PM/NM/PS	PB/NB/PM	PB/NB/PB
NS	PM/NM/PM	PS/NM/PS	PS/NS/ZO	ZO/NS/ZO	PS/NS/PS	PMNM/PM	PM/NM/PM
ZO	PM/NM/PM	PS/NM/PS	PS/NS/ZO	ZO/NS/ZO	PS/NS/ZO	PS/PM/PS	PM/NM/PM
PS	PM/NM/PM	PMNM/PS	PS/NS/ZO	PS/NS/ZO	PS/NS/ZO	PM/NM/PS	PM/NM/PM
PM	PB/NB/PB	PB/NB/PM	PM/NM/PS	PM/NM/PS	PMNM/PM	PM/NB/PM	PB/NB/PB
PB	PB/NB/PB	PB/NB/PB	PM/NM/PM	PM/NM/PM	PM/NB/PM	PB/NB/PB	PB/NB/PB