Event‐triggered H ∞ Markovian switching pinning control for group consensus of large‐scale systems

Abstract

This study investigates the pinning control issue for group consensus of large-scale systems (LSSs) with communication topology changes and network disturbances. A node selection principle is firstly designed to choose appropriate control nodes, and a centralised pinning control protocol is proposed to drive LSSs achieving group consensus. For reducing control command updates, an event-trigger is employed to determine whether control signal need be changed. Since the node receives compound exogenous disturbances from its communication neighbours, an improved point-to-area H ∞ index is advocated as a system robustness performance. Considering communication topology changes, an event-triggered H ∞ Markovian switching pinning control law is finally established and a sufficient controller and event-trigger co-design method is presented. Under this strategy, the group consensus of LSSs with a pre-scheduled H ∞ performance can be simultaneously achieved while the Markovian switching topologies are tolerated, moreover, only fewer nodes are controlled and seldom control commands are updated. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed theoretical result.