In this study, a distributed control problem is addressed for switched affine multi-agent systems. In dynamical systems with an affine control input, the use of error feedback is essential for the realization of consensus protocols, but different from most existing results with affine control multi-agent systems, switched affine multi-agent systems face additional difficulties in the analysis and control; meanwhile, affine diffusive coupling consensus algorithms are not applicable. For this reason, a switching signal is considered as a control mechanism. We study switched networks in which the leader’s state is accessible only for a portion of agents, and the Lyapunov matrix-based min-projection control strategy is proposed to determine the active mode for each agent based on the state information of the neighbors. Using parameter-dependent stability analysis, a range of different reference points can be tracked by distributed min-projection switching without any redesigning. Also, benefiting from the hybrid dynamical system, min-projection switch is modified such that a periodic time-triggered sampled control is introduced to obtain finite switching frequency. Finally, a multi-motor system fed by DC–DC buck–boost converters is simulated for a stepwise changing of leader signal and different dwell-time switching, and the effectiveness of proposed method is assessed.

在这项研究中，解决了仿射多代理系统的分布式控制问题。在具有仿射控制输入的动态系统中，使用错误反馈对于实现共识协议至关重要，但与仿射控制多主体系统的大多数现有结果不同，切换仿射多主体系统在分析和处理方面面临更多困难。控制; 同时，仿射扩散耦合共识算法不适用。因此，开关信号被认为是控制机构。我们研究的交换网络中，领导者的状态仅对一部分代理是可访问的，并且提出了基于Lyapunov矩阵的最小投影控制策略，以便根据邻居的状态信息确定每个代理的活动模式。使用依赖于参数的稳定性分析，可以通过分布式最小投影切换跟踪一系列不同的参考点，而无需进行任何重新设计。此外，得益于混合动力系统，对最小投影开关进行了修改，从而引入了周期性的时间触发采样控制以获得有限的开关频率。最后，模拟了由DC-DC降压-升压转换器供电的多电机系统，以逐步改变引导信号和不同的保压时间切换，并评估了所提方法的有效性。修改了最小投影开关，以便引入周期性的时间触发采样控制以获得有限的开关频率。最后，模拟了由DC-DC降压-升压转换器供电的多电机系统，以逐步改变引导信号和不同的保压时间切换，并评估了所提方法的有效性。修改了最小投影开关，以便引入周期性的时间触发采样控制以获得有限的开关频率。最后，模拟了由DC-DC降压-升压转换器供电的多电机系统，以逐步改变引导信号和不同的保压时间切换，并评估了所提方法的有效性。