Finite-time posture fault-tolerant control method for spacecraft formation
A limited-time, fault-tolerant control technology, applied in the field of multi-spacecraft formation flight, can solve problems such as unknown and momentary changes in spacecraft inertia, and achieve the effects of short coordination time, simple structure and high control precision
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[0045] A formation system consisting of 4 follower spacecraft and 1 leader is used as the research object, and the specific parameters are as follows:
[0046] Table 1. Spacecraft inertia matrix and initial attitude
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[0048] Leader trajectory: ω 0 =[0.1sin(0.2t),0.1cos(0.2t),0.1cos(0.5t)] T ,q 0 and q 00 It can be obtained by kinematic equation (1). The total number of actuators σ=6. external disturbance τ id =(0.5+||ω i || 2 )[0.02sin(t),0.05cos(t),0.03cos(t)] T , i=1,2,3,4. The controller parameter is k 1 =diag(10,10,15,15,7,7),k 2 =diag(20,20,30,30,10,10),k 3 =diag(5,5,5,5,5,5),k 4 =diag(15,15,20,20,30,30), α=5 / 7, β=1, β 11 = β 21 = β 31 = β 41 =0.01, β 14 = β 24 = β 34 = β 44 = 0.1, β 12 =80,β 32 =50,β 22 = β 42 =100.
[0049] Select the moment distribution matrix The moment effective matrix is
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[0054] First, build the spacecraft formation system model in MATLAB / Simulink, and the simu...
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