Distributed consensus tracking control for nonlinear multiagent systems with state delays and unknown control coefficients

Abstract

In this article, the distributed consensus tracking problem is investigated for a group of heterogeneous nonlinear multiagent systems (MASs). The dynamic of each follower is subject to multiple time‐varying state delays and unknown non‐identical control coefficients. Most existing results for MASs with unknown non‐identical control coefficients are on the condition that only the specific Nussbaum‐type function can be used. This constraint is removed by employing the enhanced Nussbaum functions. Some appropriate Lyapunov–Krasovskii functionals are constructed to compensate the delayed nonlinear functions. By applying the finite‐time command filters to backstepping technique, a novel distributed adaptive consensus tracking control law is developed, which is independent of multiple state delays. It is proved that each follower's output can track the leader. Finally, the validness of the proposed control algorithm is illustrated by two simulation examples.

Cooperative relay pursuit with input saturation constraint and external disturbances

“…Simulations have been presented to show the validness of the presented method. In this paper, the obtained results are asymptotic, it should be noted that there are some excellent results on fixed‐time consensus of nonlinear multi‐agent systems 41‐44 . Therefore, how to design a fixed‐time control strategy under the relay scheme is an interesting research topic.…”

Event‐triggered adaptive control for a class of switched nonlinear interconnected systems

“…Then , $$$ {\int}_0^tN\left({\vartheta}_i\right){\dot{\vartheta}}_i d\sigma $$$, $$$ {\vartheta}_i(t),i=1,2,\dots, \mathbb{N} $$$ and $$$ V(t) $$$ must be bounded on $$$ \left[0,{t}_l\right] $$$. In view of the literature , 50 during the interval $$$ \left[0,{t}_l\right] $$$, if the closed‐loop system solution is limited, thus $$$ {t}_l=\infty $$$.…”

“…(2) Through combining the adaptive control and Nussbaum technology, the issue of unknown control coefficients is addressed, so the limitation that the control coefficients must be known is removed, which must be ensured in References 40 and 41. (3) Different from the time‐triggered control schemes employing for systems with unknown control coefficients, 24,49,50 the event‐triggered control strategy is adopted in this article, the proposed controller lessens the communication burden between the actuator and the controller, and excludes the Zeno behavior.…”

“…[44][45][46] So far, more and more scholars pay considerable concern to the research of unknown control coefficients. [47][48][49] For instance, some adaptive tracking control issues [50][51][52] are researched for the systems with unknown control coefficients. For nonlinear systems possessing unknown control gain, 53 the fault-tolerant control problem is investigated.…”

A data‐based event‐triggered control for switching topology nonlinear multiagent systems with DoS attacks

“…With the wide application of multiagent systems (MASs) in unmanned aerial vehicles (UAVs) formations, biological systems and robotic teams, more and more control methods for MASs are proposed in References 1–14. For example, in Reference 15, the path following problem for a quadcopter aircraft which exists unknown parameters and external disturbances was solved by using backstepping method and adaptive control.…”