A Distributed Finite Time Tracking Control Method for Formation Satellites
A tracking control and limited time technology, applied in the field of tracking control, can solve problems such as difficult to reach, limited communication, difficult to realize communication topology, etc.
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specific Embodiment approach 1
[0090] Specific Embodiments 1. A distributed finite time tracking control method for formation satellites described in this embodiment is carried out according to the following steps:
[0091] 1. Establish a binary star relative motion dynamics model:
[0092] 1.1. Define the geocentric inertial coordinate system: take the center of the earth as the origin, O i x i The axis is along the intersection of the Earth's equatorial plane and the ecliptic plane, pointing to the vernal equinox γ, O i Z i Axis points to North Pole, O i Y i axis forms a right-handed system with the other two axes, such as figure 1 shown;
[0093] 1.2. Define the orbital coordinate system: take the center of mass of the satellite as the origin, O o Z o The axis points from the center of mass of the satellite to the direction of the center of the earth, O o x o axis in the orbital plane with O o Z o The axis is vertical, along the direction of satellite flight, O o Y o axis is perpendicular t...
specific Embodiment approach 2
[0127] Specific Embodiment 2. This embodiment is a further description of the distributed finite-time tracking control method of a formation satellite described in the specific embodiment 1. The relative motion dynamics model of the formation satellite relative to the reference point established in step 2 And the distributed finite-time tracking control law designed in step 3 satisfies the following conditions:
[0128] (1), generalized interference d oi Unknown but bounded, satisfy ||d oi || 2 ≤d max max is an unknown, bounded constant, ||·|| 2 Indicates seeking 2-norm;
[0129] (2), there is a normal number m and make
[0130] (3) At least one follower star can obtain the information of the pilot star. For any follower star, there is a directed path from the lead star to the follower star, that is, a directed graph has a directed spanning tree.
[0131] This is a reasonable assumption given for formation control.
[0132] In order to prove that the distributed ...
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