论文部分内容阅读
本文根据LQ问题加权阵选择的逆方法,推导出二阶系统两个主要动态参数ζ、ω_n与加权阵Q、最优反馈阵K以及被控对象参数之间的关系。实际工程设计中,只要动态指标ζ、ω_n和系统参数满足文中给出的关系式,即可用状态反馈法构成具有希望动态指标的最优闭环系统,同时得到对应的加权阵Q。二阶最优解析法用于φ300mm四辊可逆轧机板形板厚综合调节系统的设计,数字计算机仿真及微型机模拟试验证明,所得结论完全正确,控制精度达到设计要求。
In this paper, the relation between the two main dynamic parameters ζ and ω_n of the second order system and the weight matrix Q, the optimal feedback matrix K and the parameters of the controlled object is deduced based on the inverse method of the LQ problem. In the actual engineering design, as long as the dynamic indexes ζ, ω_n and the system parameters satisfy the relations given in the paper, the optimal closed-loop system with the desired dynamic index can be constructed by the state feedback method and the corresponding weight matrix Q is obtained at the same time. The second-order optimal analytical method is applied to the design of the plate thickness control system of φ300mm four-roll reversible rolling mill. The digital computer simulation and the micro-machine simulation test prove that the conclusions are completely correct and the control precision meets the design requirements.