SISO动态矩阵控制的鲁棒性

为解决单输入单输出 (SISO)动态矩阵控制的鲁棒稳定问题 ,采用过程阶跃响应的变化界来描述模型的不确定度 ,利用 Jury定理推导了系统稳定的充分条件。在此基础上 ,对一类阶跃响应系数具有递增性质的系统 ,分析了具体的参数设计方案。最后针对一般的动态矩阵控制 ,通过引入具有多项式形式的失配滤波器 ,给出了一种鲁棒改进措施。该措施可有效地扩大鲁棒稳定域 ,有助于动态矩阵控制的工业应用。仿真结果表明了文中相关理论分析的正确性和鲁棒改进措施的有效性。

Robustness of SISO dynamic matrix control

In order to solve the puzzle of robust stability for single -input/single -output (SISO) dynamic matrix control, the model uncertainty was parameterized by the range of plant step responses, and a sufficient condition of stability was derived using Jury's theorem in this paper. Then basing on it, the design strategies of parameters for a class of plants having increasing attribution in their step responses were analyzed. Finally, a polynomial mismatch filter was used to improve the control system robustness. The improved method effectively enlarged the stability range for industrial use of dynamic matrix control. Simulation results demonstrated the correctness of the theoretic analysis and the effectiveness of the improved method.