2016
DOI: 10.1016/j.isatra.2015.12.010
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Formation control and collision avoidance for multi-agent systems based on position estimation

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Cited by 93 publications
(31 citation statements)
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“…The trajectories planning happens in the pyramid frame o p x p y p , because both distributions can be translated into the pyramid frame according to the relationship between the pyramid frame and common frame, as shown in Eq. (13). And the key points are to separate the positions into groups evenly and generate the combined sub-groups meeting Figure 13 (Color online) Common frame (ocxcyc) and pyramid frame (opxpyp).…”
Section: Lemma 1 ( [26])mentioning
confidence: 99%
See 1 more Smart Citation
“…The trajectories planning happens in the pyramid frame o p x p y p , because both distributions can be translated into the pyramid frame according to the relationship between the pyramid frame and common frame, as shown in Eq. (13). And the key points are to separate the positions into groups evenly and generate the combined sub-groups meeting Figure 13 (Color online) Common frame (ocxcyc) and pyramid frame (opxpyp).…”
Section: Lemma 1 ( [26])mentioning
confidence: 99%
“…To form the formations, formation control methods play essential roles, which include position-based, displacement-based and distance-based methods, according to the capacity of sensors and the topology of robots [10]. Position-based methods are the most popular and the easiest way to build one formation by updating the global positions online [11][12][13], while displacement-based methods need all the local robot frames to be aligned to the same orientation [14]. Distance-based methods have no special demand for each local robot frame, whereas it is a big challenge to propose the satisfying algorithms [15].…”
Section: Introductionmentioning
confidence: 99%
“…In [18], a stable formation control law and collision avoidance have been investigated for multiple robots with single integrator dynamics under an undirected and connected graph. Formation control and collision avoidance are also presented in [19] for double-integrator systems, which is based on position estimation. In [20], the problem of formation control with collision avoidance for networked Lagrangian systems with uncertain parameters is investigated under directed network topology.…”
Section: Introductionmentioning
confidence: 99%
“…Compared to the previous relative studies on the control framework of UUVs for formation tracking problem [1][2][3][4][5][6][7][8], the proposed control framework can allow a group of UUVs to handle simultaneously and continuously the formation tracking problem and collision-obstacle avoidance. Compared with the collision-obstacle avoidance in [18,19], which were studied for single and double integrator systems, the proposed control framework is subject to nonlinearity, parametric uncertainties of UUVs. More specifically, this proposed control framework is a combination of four terms: the consensus control, the neural network control, the robust control, the collision-obstacle avoidance control.…”
Section: Introductionmentioning
confidence: 99%
“…Several classic formation control strategies, including leader-follower, virtual structure, and behavior based methods, were applied in the scientific community [8,9]. For example, formation control of multiple quadrotor UAVs, based on position estimation [10], backstepping design technique [11], and finite time algorithms [12], respectively, was investigated so as to make a construct and keep the formation shape during flying. It should be pointed out that time varying formation tracking problems arise in some scenarios, such as source seeking and target enclosing.…”
Section: Introductionmentioning
confidence: 99%