Spacecraft amplitude limiting adaptive attitude cooperative fault tolerant control method
A fault-tolerant control and fault-tolerant controller technology, applied in the field of multi-spacecraft formation flight, can solve the problems of mission failure, failure, unknown degree of spacecraft change, etc., to achieve the effect of easy engineering implementation and simple structure
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[0050] A formation system consisting of 4 follower spacecraft and 1 leader is used as the research object, and the specific parameters are as follows:
[0051] Table 1. Spacecraft inertia matrix and initial attitude
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[0053] 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, the torque limit is τ 1max =[4,4,5,5,6,6] T Nm, τ 2max =[7,7,8,8,5,5] T Nm, τ 3max =[8,8,5,5,6,6] T Nm, τ 4max =[6,6,4,4,5,5] T Nm. 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 =k 2 =k 3 =k 4 =15,k 11 =k 21 =k 31 =k 41 =2, α=1 / 3, 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.
[0054] Select the moment distribution matrix The moment effective matrix is
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