Robust H∞ Consensus Control for Linear Discrete-Time Swarm Systems with Parameter Uncertainties and Time-Varying Delays

Abstract EN

Robust H∞ consensus control problems of linear swarm systems with parameter uncertainties and time-varying delays are investigated.

In this literature, a linear consensus protocol for high-order discrete-time swarm systems is proposed.

Firstly, the robust H∞ consensus control problem of discrete-time swarm systems is transformed into a robust H∞ control problem of a set of independent uncertain systems.

Secondly, sufficient linear matrix inequality conditions for robust H∞ consensus analysis of discrete-time swarm systems are given by the stability theory, and a H∞ performance level γ is determined meanwhile.

Thirdly, the convergence result is derived as a final consensus value of swarm systems.

Finally, numerical examples are presented to demonstrate theoretical results.