Distributed control of nonlinear stochastic multi-agent systems with external disturbance and time-delay via event-triggered strategy

Self‐triggered adaptive prescribed‐time tracking control for stochastic nonlinear systems

“…From (), one gets $$$$ L\left({\left\Vert e\right\Vert}^2\right)\le 4{\left\Vert e\right\Vert}^2+{J}_1\kern0.5em $$$$ where $$$ {J}_1 $$$ = $$$ {\left\Vert u\right\Vert}^2+{\left\Vert {\beta}_{r_{n-1}}^{\ast}\right\Vert}^2+{\left\Vert {\beta}_{n2}\right\Vert}^2+{\left\Vert W\right\Vert}^2+\frac{1}{2} $$$. According to Reference 33, for any $$$ t\in \left[{t}_k,{t}_{k+1}\right) $$$, one has $$$ {D}^{+}\left(E\left({\left\Vert e\right\Vert}^2\right)\right)=E\left(L\left({\left\Vert e\right\Vert}^2\right)\right) $$$, then, it can be got $$$ {D}^{+}\left(E\left({\left\Vert e\right\Vert}^2\right)\right)=4{\left\Vert e\right\Vert}^2+{J}_1 $$$. From …”

Observer-Based Event-Triggered Composite Anti-Disturbance Control for Multi-Agent Systems Under Multiple Disturbances and Stochastic FDIAs

“…In [23], a self-triggering algorithm is designed to avoid the continuous monitoring of the triggering condition, while the controller is still continuously updated. [24] and [25] introduce a scheme with the merit that the controller is only updated at the trigger time, but the drawback is that the ETM requires the agent to continuously obtain the neighbor's state, so it cannot effectively reduce the communication load. While some of the results take into account both the reduction of controller updates and the continuous monitoring of the state of the neighbor agents [26], we notice that they are mainly designed based on undirected graphs or assume that the system state is measurable [27].…”

“…In the meanwhile, the introduction of DO and adaptive disturbance compensation technique based on the estimated value of disturbance upper bound greatly improve the accuracy of the observer and the consensus performance of the MASs under multiple disturbances, and has no requirements of the preliminary knowledge of the upper bounds on the bounded disturbance signals in [10], [31] and the boundedness assumption of their derivatives as in [32], [33]. 3) A novel event-triggered mechanism: Compared with the results which only avoid the continuous communication of the controller [6], [7], [23] or the continuous monitoring of the triggering condition [24], [25], the proposed ETM does not require to transmit information with neighbors all the time and ensures the intermittent communication of the controller, and thus saves network resources and reduces the frequent operation of the physical institutions. Besides, Zeno behavior is ruled out.…”

Second‐order extended state observers‐based adaptive event‐triggered containment control for nonlinear multiagent systems with mismatched stochastic disturbances

“…On the other hand, as a feasible technology to save network communication resources, the event-triggered control (ETC) has been widely used in nonlinear MASs. [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] For example, the robust consensus problem of uncertain second-order MASs in Reference 30 was studied based on the ETC method, where the stability analysis of the event-triggered consensus control was carried out. The ETC strategy is used to reduce the number of communications between agents for Euler-Lagrange MASs in Reference 31, and it achieved the higher resource utilization efficiency.…”