Finite time integral sliding mode terminal guidance law
A limited time, terminal guidance law technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the problems of conservatism and difficulty in obtaining
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[0093] The invention proposes a finite-time-integral sliding-mode terminal guidance law based on a super-twisting algorithm, which mainly includes the establishment of three-dimensional guidance equations, the design of a target maneuver acceleration observer, the design of a finite-time-integral sliding-mode terminal guidance law and its stability analysis. The specific embodiment of the present invention is as follows:
[0094] 1) Assume that the missile uses an active radar seeker, which can provide target-missile relative distance information r and its rate of change Line of sight angle information φ and θ, and line of sight angle rate information and
[0095] 2) From the output information of the seeker, calculate the target-missile relative approach velocity component V r , V φ and V θ . Use this as the input of the target acceleration observers (10) and (11) to obtain the estimated value of the target maneuver acceleration and
[0096] 3) Substitute the es...
Embodiment 1
[0098] Intercept drones. The initial position of the interceptor missile is (100, 1, 15) km, the initial velocity is 1600m / s, and the initial trajectory inclination and trajectory angle are -15° and -17° respectively. The initial position of the target is (120, 5, 12) km, the initial velocity is 900m / s, and the initial ballistic inclination and ballistic deflection angle are -2° and 180° respectively. The target is only implemented on the yaw channel a Tθ =-8g, t≥3s form of step maneuver.
Embodiment 2
[0100]Intercept ballistic missiles. The initial position of the interceptor missile is (45, 1, 6) km, the initial velocity is 1700m / s, and the initial trajectory inclination and trajectory angle are 10.5° and -18.5° respectively. The initial position of the target is (75, 5, 20) km, the initial velocity is 900m / s, and the initial ballistic inclination and ballistic deflection angle are -40° and 180° respectively. Ballistic missile implements spiral maneuver, as a Tφ =Acos(πt / 3)g and a Tθ =Asin(πt / 3)g, where the amplitude A varies with the altitude, as shown in Table 1.
[0101] Table 1 Target Maneuvering Amplitude A
[0102]
[0103] In the above two embodiments, the proposed finite-time integral sliding mode guidance law (SOSMG) based on the super-twisting algorithm is compared with the classic adaptive sliding mode guidance law (ASMG) to verify the performance of SOSMG.
[0104] from figure 1 with Figure 4 It can be seen that the proposed SOSMG can guarantee that t...
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