具有噪声约束的 时滞Markov跳变网络给定时间一致性协议设计

本文研究网络连接系统在随机Markov跳变拓扑结构,通信时滞,外部干扰等情形下的给定时间一致性协议设计方法.基于有限短时间理论,放宽对系统不一致状态渐近收敛于零的要求,在预先给定的时间区域内,设法使网络中各子系统的不一致状态在期望范围内受限运动,从而提出给定时间一致性定义,并进一步设计给定时间一致性控制算法.不仅从时间角度为降低渐近一致的工程保守性提供了思路,且所提的模型转换新方法使得设计的控制协议更具通用性.仿真结果验证了所提算法的有效性.

Given time consensus protocol for Markov jump networks with communication delays and disturbances

The design of the given time consensus protocol is investigated for network-connected systems with randomMarkov jump topologies, communication delays and external disturbances. Because of the theory of short time, in definingthe given time consensus protocol we relax the requirement that the disagreement dynamics will converge to zero asymptotically.Instead, we only need the disagreement dynamics of interconnected networks stays within a given bound over afinite time interval. In one step followed, we develop the algorithm for the given time consensus protocol based on thisdefinition. Thus, we not only provide an idea for lowering the conservatism of asymptotical convergence to zero in thetime domain, but also make the design of control protocol more general in application by adopting the proposed method ofmodel transformation. The effectiveness of the proposed consensus protocol is demonstrated by simulation examples.