Plane point-to-point autonomous motion control method for two-wheeled self-balancing vehicle
A self-balancing vehicle, autonomous motion technology, applied in electric controllers, bicycles, controllers with specific characteristics, etc. The effect of reducing design difficulty
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Embodiment 1
[0026] The mathematical model of the two-wheeled self-balancing vehicle in this application can be expressed as:
[0027]
[0028]
[0029]
[0030] In the formula, τ ω =τ r -τ l , τ v =τ r +τ l , τ l , τ r are the output torques of the left and right motors, is the steering angle, x v is the forward displacement, m w is the wheel mass, m c is the chassis mass, r is the wheel radius, d is the wheel base, I 1 is the moment of inertia of the wheel around its diameter, I 2 is the moment of inertia of the wheel about its axle, I 3 is the moment of inertia of the chassis around the vertical line of its center of mass, I 5 is the moment of inertia of the body about the perpendicular to its center of mass.
[0031] It can be seen from formula (3) that the steering subsystem of the two-wheeled self-balancing vehicle is a full-drive system and is decoupled from the underactuated longitudinal subsystems (4) and (5), so steering control can be realized convenien...
Embodiment 2
[0092] Such as figure 1 As shown, the two-wheeled self-balancing vehicle involved in the present invention mainly includes parts such as wheels 1, chassis 2 and vehicle body 3. The state of the two-wheeled self-balancing vehicle system can be expressed by the generalized coordinate vector Indicates that x and y are the position coordinates of the balance car, is the steering angle, and θ is the inclination angle of the vehicle body. Assuming there is no slip between the wheels and the ground, the two-wheeled self-balancing vehicle satisfies the nonholonomic constraint
[0093]
[0094] The mathematical model of the two-wheeled self-balancing vehicle is derived by using the Lagrangian modeling method, as shown in equations (3), (4) and (5). Without loss of generality, let the initial position coordinates of the two-wheeled self-balancing vehicle be (0,0), and the target position coordinates be (x f ,y f ), x f >0,y f > 0, the two-wheeled self-balancing vehicle can ...
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