Sampled-Data Consensus Control of Nonlinear Multi-Agent Systems With Markovian Switching Topologies Based on Extended Looped Functional

This paper tackles the issue of aperiodic sampled-data fault-tolerant consensus control in leader-following (LF) nonlinear multi-agent systems (NMASs) with generally uncertain semi-Markovian (GUSM) switching topologies by adopting the extended looped functional (ELF). The GUSM jumping process is employed to describe sudden changes in communication topologies among LF NMASs, and the fault-tolerant protocols are constructed to deal with actuator failures. To relax the positive definite conditions of Lyapunov-Krasovskii functional (LKF) matrices, the ELF is adopted to obtain the sampled-data fault-tolerant consensus criteria of the NMASs with GUSM switching topologies. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed approach.