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2 International Journal of Applied Mathematics and Computer Science

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Cooperative convex control of multiagent systems applied to differential drive robots

López-Estrada Francisco-Ronay, Darias Helen, Puig Vicenç, Valencia-Palomo Guillermo, Domínguez-Zenteno Joaquín, Guerrero-Sánchez María-Eusebia

International Journal of Applied Mathematics and Computer Science

2024

Vol. 34, no. 2

199--210

This work proposes a convex cooperative control scheme for a multiagent system of differential mobile robots in a leader-follower formation. First, the kinematic model of the differential robots is obtained in a linear parameter varying representation. Next, a reference model approach is considered to track the desired trajectory. The paper’s contribution is then to derive conditions to guarantee the convergence of the convex controller, which is achieved using a non-quadratic Lyapunov function. Subsequently, this control law is integrated into the agent that leads a distributed control protocol based on graph theory designed to reach the consensus of the followers. Simulations of five mobile robots are performed to illustrate the effectiveness of the proposed method.

Distributed fault estimation of multi-agent systems using a proportional-integral observer: A leader-following application

Farrera Beltrán, López-Estrada Francisco-Ronay, Chadli Mohammed, Valencia-Palomo Guillermo, Gómez-Peñate Samuel

International Journal of Applied Mathematics and Computer Science

2020

Vol. 30, no. 3

551--560

This paper proposes a methodology for observer-based fault estimation of leader-following linear multi-agent systems subject to actuator faults. First, a proportional-integral distributed fault estimation observer is developed to estimate both actuator faults and states of each follower agent by considering directed and undirected graph topologies. Second, based on the proposed quadratic Lyapunov equation, sufficient conditions for the asymptotic convergence of the observer are obtained as a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the proposed approach.