Adaptive periodic event-triggered consensus for multi-agent systems subject to input saturation

ABSTRACT

This paper investigates the distributed adaptive event-triggered consensus control for a class of nonlinear agents. Each agent is subject to input saturation. Two kinds of distributed event-triggered control scheme are introduced, one is continuous-time-based event-triggered scheme and the other is sampled-data-based event-triggered scheme. Compared with the traditional event-triggered schemes in the existing literatures, the parameters of the event-triggered schemes in this paper are adaptively adjusted by using some event-error-dependent adaptive laws. The problem of simultaneously deriving the controller gain matrix and the event-triggering parameter matrix, and tackling the saturation nonlinearity is cast into standard linear matrix inequalities problem. A convincing simulation example is given to demonstrate the theoretical results.

KEYWORDS:

• Input saturation
• adaptive
• event-triggered
• multi-agent systems

Acknowledgements

This work was partly supported by the Natural Science Foundation of Jiangxi Province of China (Grant No. 20151BAB217021), the National Natural Science Foundation of China (Grant Nos. 61304043 and 61374055), the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20131381), the China Postdoctoral Science Foundation (Grant No.:2015M571787) and the Scientific Research Foundation of Nanjing University of Posts and Telecommunications (Grant No. XK0054114009).

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was partly supported by the Natural Science Foundation of Jiangxi Province of China [grant number 20151BAB217021]; the National Natural Science Foundation of China [grant number 61533010], [grant number 61304043], [grant number 61374055]; the Natural Science Foundation of Jiangsu Province of China [grant number BK20131381], [grant number BK20151510]; the China Postdoctoral Science Foundation [grant number 2015M571787]; the Scientific Research Foundation of Nanjing University of Posts and Telecommunications [grant number XK0054114009].