一类四阶偏微分多智能体系统的一致性控制

Consensus Control for a Class of Fourth Order Partial Differential Multi-Agent Systems

研究一类四阶偏微分多智能体系统的一致性控制问题,该类系统中的每个智能体是由四阶偏微分方程构建而成.针对系统的特点,通过构建合适空间上的Lyapunov泛函,得到分布式反馈控制律.当该反馈控制律作用于系统时,系统状态变量的一致性误差于L^(2)(0;l)×L^(2)(0;l)空间内收敛到零.最后,通过仿真算例验证了方法的有效性.

In this paper,the consensus control problem for a class of four order partial differential multi-agent systems is studied,and each agent in the systems is constructed by a four order partial differential equation.According to the characteristics of the systems,the distributed feedback control law is obtained by constructing a Lyapunov functional on an appropriate space.When the feedback control law is applied to the systems,the consensus error of the state variable converges to zero on L^(2)(0;l)×L^(2)(0;l)space.Finally,the effectiveness of the method is verified by a simulation example.