Heterogeneous vehicle team fault-tolerant control method based on actuator faults and saturation
A fault-tolerant control and actuator technology, applied in two-dimensional position/course control, vehicle position/route/height control, adaptive control, etc., can solve non-zero initial distance error, increase critical traffic capacity, and do not consider execution Problems such as actuator failure and actuator saturation can be solved to achieve the effect of ensuring stability, increasing critical traffic capacity, and ensuring queue stability
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Embodiment 1
[0129] The specific process of step S1 is as follows:
[0130] S11. Define the dynamic model of the leading vehicle, as follows:
[0131]
[0132] where x 0 (t), v 0 (t), a 0 (t) represent the position, speed and acceleration of the leading car respectively, and a 0 (t) is a given time function;
[0133] S12. Carry out force analysis on the longitudinal motion of the vehicle, and establish a vehicle longitudinal dynamics model under failure:
[0134]
[0135]
[0136]
[0137] Among them, sat(u ai (t)) is the actuator input with fault and saturation characteristics, w i (t) is the unknown external disturbance, f i (v i ,a i ,t) is a nonlinear function, and its function expression is as follows:
[0138]
[0139] Among them, τ i is the engine time constant, υ is the air mass constant, m i , A i , C di and d mi are the mass, cross-sectional area, drag coefficient and mechanical drag of vehicle i, respectively;
[0140] S13. The actuator failure mod...
Embodiment 2
[0160] On the basis of embodiment 1, the specific process of step S2 is as follows:
[0161] S21. Define the displacement tracking error as follows:
[0162]
[0163] Among them, δ i (t) is the inter-vehicle distance error between the i-th car and the i-1th car, γ i is a constant, L i is the length of vehicle i, Δ i-1,i is the safety distance between two vehicles, h represents the delay time of the fleet control system, σ represents the safety factor, A m is the maximum acceleration, ρ i0 Represents the lower bound value of actuator failure, χ l is the lower bound of the saturation index, so that:
[0164]
[0165] Representing the initial value of the variable time spacing strategy proposed by the present invention is zero in any case;
[0166] S22. Define the ideal inter-vehicle distance as follows:
[0167]
Embodiment 3
[0169] On the basis of embodiment 2, the specific process of step S3 is as follows:
[0170] S31. In order to make δ i (t) tends to be infinitely close to 0 in a finite time and ensures the consistent stability of the queue, constructing a proportional-integral-differential sliding mode surface:
[0171]
[0172] Among them, K p , K i , K d represent proportional, integral and differential coefficients respectively;
[0173] S32. According to the transfer function G i (s) definition, construct δ i (t) and δ i+1 The relationship between (t) defines the coupled sliding mode surface:
[0174]
[0175] where λ is the coupled sliding mode surface s i (t) and s i+1 (t) positive constant; when s i (t) When reaching the sliding surface, s i (t) can also reach the sliding surface;
[0176] S33. Using the RBF neural network function to perform nonlinear processing, the function expression is as follows:
[0177]
[0178] in, Represents the ideal weight vector of th...
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