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SummaryConsensus problem of multiagent systems with switching jointly connected topologies under sampled‐data control is studied in this article. The main contribution is that the consensus problem for such system is solved without the assumption that the system matrices are stable or critically stable. For this purpose, a time‐varying Lyapunov function method is utilized to describe the state characteristics with switching jointly connected topologies. Based on the time‐varying matrix of Lyapunov function, the “decline” characteristics at the switching instants is derived to compensate the divergence among the agents with disconnected topologies. Utilizing the “decline” characteristics, the overall consensus of such system can be guaranteed in the framework of dwell time. Finally, the effectiveness of the proposed result is illustrated by two numerical examples.

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The consensus problem for a class of multi-agent systems with switching jointly connected topologies via periodic event-triggered control is studied. The distinguishing feature of such system is that the eigenvalues of system matrix can contain positive real parts. Due to the coexistence of unstable system matrix and disconnected topologies, the agents can diverge from each other across some periods even if the control input is imposed on them. To overcome this difficulty, a periodic-sampling time unit (PSTU) approach is introduced to analyse the local convergence or divergence property within each sampling time unit based on the periodic event-triggering control. Then the stabilisation property of switching behaviours is utilised to compensate the divergence within each switching interval via the dwell time technique. It is interesting to see that each switching period is considered to consist of finite number of PSTUs. Then by confining a pair of lower and upper bounds on the dwell time, the overall consensus can be reached. Further, a novel class of event-dependent discretised Lyapunov functions are utilised to describe the error characteristics and computable conditions for the overall consensus can be derived. Finally, the effectiveness of the proposed result is illustrated by a numerical example.

With the research object of cutterhead rotation electric drive system, influencing factors of the system synchronous coordination and the multi-motor torque synchronization control strategy is studied. The paper analyzes the dynamics of the cutterhead rotary motors-driving system, discusses the interaction mechanism between motors and gear nonlinear transmission unit, and then the mathematical model of the cutterhead rotary driving system with consideration of gear frequency cycle error and backlash is presented. Based on that, the multi-drive synchronization control based on the ring coupling strategy is given. Simulation results using Matlab platform show the effectiveness of the proposed strategy.