ROBUST CLUSTER CONSENSUS OF HIGH FRACTIONAL-ORDER NONLINEAR MULTI-AGENT SYSTEMS WITH EXTERNAL DISTURBANCES

Zahra Yaghoubi

Keywords

Nonlinear multi-agent systems, robust cluster consensus, fractional-order systems, external disturbances

Abstract

In this article, robust cluster consensus problem for high fractional-order nonlinear multi-agent systems is studied with external disturbances. The high general fractional-order systems are considered. Robust cluster consensus for general fractional-order nonlinear multi-agent systems is achieved asymptotically without disturbance. It is shown that the errors between agents can converge to a small region in the presence of disturbances based on the linear matrix inequality and Mittag–Leffler stability theory. Finally, the effectiveness theoretical results are shown by simulations of a flexible joint single-link manipulator.

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