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

Robust H infinity 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 infinity consensus control problem of discrete-time swarm systems is transformed into a robust H infinity control problem of a set of independent uncertain systems. Secondly, sufficient linear matrix inequality conditions for robust H infinity consensus analysis of discrete-time swarm systems are given by the stability theory, and a H infinity performance level gamma 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.