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对于同一种控制对象设计最优调节器时 ,二次型指标中加权矩阵Q和R的选择不同 ,系统的动态性能也不一样 .为使所设计的线性最优控制系统更好地适应生产实际需要 ,对二次型指标中的Q阵和R阵进行计算机仿真研究 ,研究表明 :Q固定时 ,R中的相应元素增大 ,系统的上升时间与稳态误差减小 ,而超调量和过渡过程时间增大 ;R固定时 ,Q中的相应元素增大 ,系统的上升时间与稳态误差增大 ,而超调量和过渡时间减小 ,说明Q和R阵的选择对系统动静态指标的影响遵循一定的规律 ,可根据实际系统要求选择合适的加权矩阵 .
When designing the optimal regulator for the same control object, the selection of weight matrix Q and R in the quadratic index is different, and the dynamic performance of the system is also different.In order to make the designed linear optimal control system better adapt to the actual production It is necessary to carry on the computer simulation research on the Q-array and the R-array in quadratic index. The research shows that when Q is fixed, the corresponding elements in R increase and the system rise time and steady-state error decrease. When R is fixed, the corresponding elements in Q increase, the rise time and steady-state error of the system increase, while the overshoot and transition time decrease, indicating that the choice of Q and R array has a great influence on the system dynamic and static The impact of indicators follow certain rules, according to the actual system requirements to select the appropriate weight matrix.