In this study, we use the direct discontinuous Galerkin method to solve the generalized Burgers-Fisher equation. The method is based on the direct weak formulation of the Burgers-Fisher equation. The two adjacent cells are jointed by a numerical flux that includes the convection numerical flux and the diffusion numerical flux. We solve the ordinary differential equations arising in the direct Galerkin method by using the strong stability preserving Runge^Kutta method. Numerical results are compared with the exact solution and the other results to show the accuracy and reliability of the method.
上肢外骨骼人-机协调控制系统中的一个关键问题是直角坐标系中的力信号转换成联合坐标系中力矩,该过程中奇点几乎一直存在;为了解决这个问题,提出了一种基于动态模型力控制器(dynamic model of force control,DMFC)的控制系统;利用阻尼最小二乘法处理负载,转矩补偿负载质量,避免了奇异性;在外骨骼的末端执行器处安装力传感器用于测量外骨骼和负载之间的力,通过相互作用力自动反映使用者的运动意图;实验结果表明,提出的控制系统具有非常好的稳定性和可负载性,当施加负载补偿时,不附加任何物体与附加5公斤对象的外骨骼末端执行器位置之间的稳态误差可减小至0.01μm以下,完全满足起吊重物的上肢外骨骼需求。
