Cooperative output synchronisation of networked feedforward nonlinear systems via linear sampled-data control

ABSTRACT

This paper studies the problem of cooperative output synchronisation of networked feedforward nonlinear systems via linear sampled-data control. To dominate the unknown nonlinear perturbing terms, a scaling gain is introduced by a change in coordinates. Then, we construct a reduced-order sampled-data observer and use the backstepping method to design a linear sampled-data controller. By using combined graph theory with feedback domination approach, an explicit formula for the sampling period can be obtained under the proposed controller with appropriate gains such that all outputs of the agents in the network can be synchronised. Finally, two examples are provided to verify the effectiveness of the proposed method.

KEYWORDS:

• Output synchronisation
• sampled-data control
• nonlinear systems
• feedback domination
• backstepping method

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported in part by National Natural Science Foundation of China [grant number 61473082]; Six Talents Peaks Program of Jiangsu Province [grant number 2014-DZXX-003]; and PAPD.