Finite-Time $\mathcal{L}_{2}$ Leader–Follower Consensus of Networked Euler–Lagrange Systems With External Disturbances

Distributed proximal‐gradient algorithms for nonsmooth convex optimization of second‐order multiagent systems

“…Recently, distributed cooperative control for multiagent systems has been an active research field, including consensus control, [1][2][3] tracking control, 4,5 formation control, [6][7][8][9] and so on. In distributed cooperative control, distributed optimization has played an important role and attracted more and more attention in view of its advantages of improving efficiency and saving resources in sensor networks, 10 mobile robots, 11 and so forth.…”

Distributed finite‐time tracking control for multiple uncertain Euler–Lagrange systems with input saturations and error constraints

“…Convergence speed can be accelerated by adopting finite‐time control technique, by which the followers can track the leader in finite time. Distributed finite‐time tracking control methods for multiple EL systems were addressed in [32–38]. Using backstepping design method, the authors in [32] proposed a distributed finite‐time tracking control strategy for multiple EL systems with external disturbances.…”

“…Distributed finite‐time tracking control methods for multiple EL systems were addressed in [32–38]. Using backstepping design method, the authors in [32] proposed a distributed finite‐time tracking control strategy for multiple EL systems with external disturbances. However, it was required that the leader of the systems was stationary.…”

“…The authors in [37] developed the distributed finite‐time tracking control strategies under undirected topology when the velocity information of the systems could not be measured. It should be noted that the system model was required to be known for the control algorithms in [32–37]. Based on parameter linearisation technique, a finite‐time sliding‐mode tracking control law was developed in [39] for uncertain mechanical systems modelled by the EL equation.…”

Event-Triggered Cluster Consensus of Leader-Following Linear Multi-Agent Systems

“…The past decade has witnessed the dramatic progress in the study of consensus [1][2][3][4]. The consensus problem for multi-agent systems has attracted intensive attention due to its potential advantages when compared with a single individual include greater flexibility, adaptability, and performance [5][6][7]. The main idea of consensus is to design some appropriate control protocols based on local information guaranteeing all agents reach an agreement on a common value.…”