Default performance formation controller structure for multi-mobile robots and design method
A mobile robot with preset performance technology, applied in non-electric variable control, control/adjustment system, two-dimensional position/channel control, etc., to overcome the explosion of computational complexity, solve system uncertainty, and improve accuracy and speed Effect
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[0177] The state equation of the ith mobile robot system among the followers selected in this embodiment is:
[0178]
[0179] In the formula, (y i,1 ,y i,2 ) is the coordinates of mobile robot i, u i,1 , u i,2 is the control force, that is, the control quantity; f i,1,1 (x i,1,1 ,x i,1,2 )=x i,1,2 , f i,2,1 (x i,2,1 ,x i,2,2 )=x i,2,2 , m i is the mass of mobile robot i, which is 1kg, and is the damping coefficient, generally 1; and is the coefficient to control the transient response of mobile robot i, generally 9; the initial values of the four follower system states are:
[0180] Consider a multi-agent network composed of 4 followers and 1 leader, and at least one follower communicates with the leader. The communication topology is as follows figure 2 As shown, where 0 is the number of the leader, and 1, 2, 3, and 4 are the numbers of the four followers. Further, the Laplacian matrix can be obtained, and the Laplacian matrix is as f...
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