Dubay R, Kember G, Lakshminarayan C V, Pramujati B
Department of Mechanical Engineering, University of New Brunswick, Fredericton, Canada.
ISA Trans. 2006 Jan;45(1):21-33. doi: 10.1016/s0019-0578(07)60062-7.
New controller and closed loop transfer functions for move suppressed and shifted dynamic matrix control were derived in order to compare the controller robustness on several plants as a function of tuning parameters lambda and m. The derivation of these transfer functions are for any order plant requiring its open loop step or impulse response. A generic control design algorithm was developed for selecting the controller tuning parameters using controller robustness as a performance index, in the presence of plant parameter variations and uncertainties. Shifted dynamic matrix control (DMC) was found to be more robust with respect to all plant parameter variations, and therefore more suited than move suppressed DMC to control plants with wide ranging parameters. This result was demonstrated on an experimental direct current servomotor system, and further verified on a plant having a cascade control structure with the (m , m) being the most robust to plant variations.
为了比较移动抑制和移位动态矩阵控制的控制器鲁棒性与调节参数λ和m的函数关系，推导了移动抑制和移位动态矩阵控制的新控制器和闭环传递函数。这些传递函数的推导适用于任何需要其开环阶跃或脉冲响应的阶次的对象。开发了一种通用控制设计算法，用于在对象参数变化和不确定性存在的情况下，以控制器鲁棒性作为性能指标来选择控制器调节参数。结果发现，移位动态矩阵控制（DMC）对于所有对象参数变化都更具鲁棒性，因此比移动抑制DMC更适合控制参数范围广泛的对象。这一结果在实验直流伺服电机系统上得到了证明，并在具有级联控制结构的对象上进一步得到验证，其中（m，m）对对象变化最为鲁棒。
