Self-adaption limited time command filtering backstepping control method of multi-mechanical-arm system
A limited-time, backstepping control technology, applied in manipulators, program-controlled manipulators, manufacturing tools, etc., to solve problems such as synchronous control of multi-manipulator systems with uncertain parameters
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[0142] Below in conjunction with accompanying drawing and specific embodiment the present invention is described in further detail:
[0143] Such as figure 1 As shown, the adaptive finite-time command filter backstepping control method for a multi-manipulator system includes the following steps:
[0144] It is assumed that the multi-manipulator system has N follower manipulators and M leader manipulators.
[0145] Among them, following the manipulator set υ F ={1,...,N}, leader manipulator set υ L ={N+1,...,N+M}.
[0146] The communication topology relationship between N follower manipulators and M leader manipulators is defined by a directed graph express.
[0147] Among them, node set υ={1,2,...,N+M}, edge set
[0148] Define the adjacency matrix A=[a mn ]∈R (N+M)×(N+M) .
[0149] Among them, a mn Indicates the weight of the edge, R (N+M)×(N+M) Indicates that the matrix dimension is (N+M)×(N+M) dimension.
[0150] If there is a directed edge (m,n)∈ε, node n is...
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