Search

[Display omitted] • A noval event-triggered control strategy is developed by integrating backstepping method and emulation method into the event-triggered control study the distributed tracking of nonlinear MASs. Compared with the single-agent system, the control design in this paper is more complicated since that its's necessary to consider information interaction between each agent. • The event-triggered control strategy saves more communication and computing resources compared with the periodic sampled-data control schemes. In addition, The introduction of event-triggering mechanism, on the one hand, leads to complex discontinuity of the system, which renders the analysis and synthesis of the MASs more difficult than MASs with continuous controllers. • The dynamic of the i th follower discussed in this paper contains N i integrators and nonlinearities, which is more general and more complex than linear MASs, and first-order and second-order MASs. The existence of nonlinear functions makes the design and construction process of event-triggered controller more complicated. This paper investigates the problem of distributed output tracking for nonlinear multi-agent systems via event-triggered control under a directed graph topology inspired by the advantage that event-triggered control can effectively save resources and the wide application of multi-agent systems. By backstepping and emulation method, the event-triggered control strategy is put forward, by which a series of event-triggered controllers and event-triggering mechanisms with absolute or relative threshold are designed. An inevitable problem on event-triggered control, called Zeno phenomenon, is avoided by guaranteeing a positive minimum inter-execution interval. We can see from the event-triggered control strategy that the closed-loop system has a unique solution and tracking error could be adjusted to arbitrarily small while ensuring the boundedness of all states. Finally, a numerical example is shown to verify the validity of the conclusion. [ABSTRACT FROM AUTHOR]

This paper considers the global stabilization for a class of uncertain nonlinear systems with unknown powers, unknown control directions, and unknown nonlinearities. Mainly due to the presence of the unknown powers which have not known upper bound, no existing methods are applicable to the control problem to be solved. In this paper, to compensate the serious system uncertainties and particularly to overcome the major obstruction from unknown powers, we appeal to the mechanism of switching adaptive feedback. By flexibly combining the domination and the method of adding a power integrator, we propose a new adaptive controller design, whose design parameters are tuned online based on a switching logic. The designed controller will become operative as long as finite switchings happen and will not lead to Zeno phenomenon, and can guarantee the global boundedness as well as ultimate convergence of the resulting closed-loop system. Two numerical examples are given to demonstrate the effectiveness of the developed design scheme. [ABSTRACT FROM AUTHOR]