Method for controlling flexible structure and self-adaptive changing structure by radial basis function (RBF) neural network
A technology of variable structure control and self-adaptive control, which is applied in the field of aerospace and aviation, can solve problems such as the high-precision control target of the vibration and attitude control system of solar panels, and achieve simple and easy control methods, fast training speed, The effect of simple structure
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specific Embodiment approach 1
[0025] Specific implementation mode one: the following combination figure 1 and figure 2 This embodiment will be described.
[0026] Down figure 1 To approximate the spacecraft model with flexible attachments, it consists of a central rigid body with a radius b and a uniform cantilever beam flexible attachment, and the flexible beams are symmetrically distributed. In the figure, OXZ and oxz are the inertial coordinate system and the body coordinate system respectively, oz coincides with the axis of the undeformed flexible attachment, and its origin is located at the connection between the flexible attachment and the central rigid body, which is used to describe the relative rotation relationship between the coordinate systems is the attitude angle. m is the mass of the tip, T is expressed as the external control torque, where the deformation at any point [0 l] is w(x, t).
[0027] In order to simplify the derivation of the dynamic model of the flexible spacecraft, the fol...
Embodiment approach 2
[0061] Specific embodiment two: this embodiment is a further description of the radial structure adaptive variable structure control method using the RBF neural network described in the specific embodiment one, and this embodiment is to the actual satellite attitude information x (t) and Desired satellite attitude information x m (t) for further clarification. The vector equation of the actual satellite attitude information x (t) is expressed as:
[0062] x · = Ax + Bu ( t ) + Bu is + Bd ( t ) ,
[0063] Among them, A and B are the first-order coefficients,
[0064] Expected satellite attitude information x output by nominal system 2 m The vector equation of (t) is expressed as:
[0065] x · m ...
Embodiment approach 3
[0067] Specifically, the third embodiment: This embodiment is a further description of the radial structure adaptive variable structure control method using the RBF neural network described in the first embodiment, and this embodiment is a further description of the error e(t).
[0068] The error e(t) described in this embodiment is obtained according to the following formula:
[0069] e(t)=x(t)-x m (t).
[0070] Among them, x(t) is the actual satellite attitude information, x m (t) is the desired satellite attitude information.
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