Finite-time observers for multi-agent systems without velocity measurements and with input saturations

Consensus problems for multi-agent systems with nonlinear algorithms

“…Noting nðtÞ ¼ HxðtÞ , lim t!1 ðHxðtÞÞ ¼ 0 is implied in (15). Therefore, as time t goes to infinity, x(t) will converge null space of matrix H, which is generated by the vector p 1 and p 2 .…”

“…In the paper, the fixed topology is directed. Finite-time consensus protocols with saturation were proposed in [15], while we give another method for group consensus of multi-agent systems with saturation.…”

“…Output regulation of multi-agent systems with input saturation was discussed under switching topologies in [14]. In addition, finite-time consensus was investigated in [15].…”

Distributed adaptive containment control for second-order multi-agent systems via NTSM

“…Several finite-time control techniques, such as the homogeneous control method, the adding a power integrator technique and the terminal sliding mode control (TSMC) method, have been used to design finite-time distributed protocols for first-order and secondorder multi-agent systems in [24]- [29]. Recently, the finite-time containment control has been studied, for example, [30] designed the finite-time attitude containment protocols for multiple spacecraft systems based on the homogeneous control method; [31] investigated the distributed finite-time containment control problem for second-order multi-agent systems by only using position measurements; [32] proposed a heterogeneous multi-agent systems and studied the finite-time containment control of heterogeneous multi-agent systems in [33]. Nevertheless, the external disturbances are not considered in [30,31,33], which cannot be ignored in practical implementations.…”

“…Recently, the finite-time containment control has been studied, for example, [30] designed the finite-time attitude containment protocols for multiple spacecraft systems based on the homogeneous control method; [31] investigated the distributed finite-time containment control problem for second-order multi-agent systems by only using position measurements; [32] proposed a heterogeneous multi-agent systems and studied the finite-time containment control of heterogeneous multi-agent systems in [33]. Nevertheless, the external disturbances are not considered in [30,31,33], which cannot be ignored in practical implementations. It is of vital importance to consider the finite-time containment control of multi-agent systems with external disturbances, and some efforts have been made on this issue, such as [34] proposed the finite-time containment control algorithms for second-order multi-agent systems with external disturbances by using the adding a power integrator technique; [35] solved the finite-time containment control problem for second-order multi-agent systems subject to external disturbances by using the nonsingular terminal sliding-mode (NTSM) scheme.…”