Co-leaders and a flexible virtual structure based formation motion control

Asma Essghaier (1) , Lotfi Beji (1) , Mohamed Anouard El Kamel (1) , Azgal Abichou (2) , Jean Lerbet (1)

1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
2 LIM - Laboratoire d'Ingénierie Mathématique

The motion control of multi-robots in formation using a Flexible Virtual Structure Approach (FVSA) is proposed. The dynamic model of n agents in formation is developed and sufficient conditions to the desired shape's stability over time are given. Inspired by a shepherd who supervises his troop by controlling the elements on the border, thus, he is able to control all the remainder of the troop. To control the formation shape, one defines control laws for co-leaders, selected from the border, which permits to control motions of the remaining formation agents. The strategy depend strongly on two objectives, on one hand performing an obstacles free motion and on the other avoiding collision among the agents. The Lyapunov technique is used to construct the control law ensuring obstacles avoidance for the agents on the border.

Keywords: co-leaders; collision avoidance; formation shape control; FVSA

Domains: Mathematics [math]

Asma Essghaier, Lotfi Beji, Mohamed Anouard El Kamel, Azgal Abichou, Jean Lerbet. Co-leaders and a flexible virtual structure based formation motion control. International Journal of Vehicle Autonomous Systems, 2011, 9 (1-2), pp.108--125. ⟨10.1504/IJVAS.2011.038182⟩. ⟨hal-00647351⟩