【摘要】 控制系统的各种特性和各种品质指标,很大程度上是由系统的极点位置所决定的。因此,系统综合指标的形式之一,是在s平面上给出一组所希望的极点。所谓极点配置就是通过反馈阵的选择,使闭环系统的极点,恰好处于所希望的一组极点的位置上。即是仅通过状态反馈,就能任意配置极点。对于一个确定的状态反馈极点配置问题,当采用不同的方法去求解时,可以得到不同的状态增益阵。这说明了状态反馈极点配置问题解的不唯一性。由于状态反馈极点配置问题的求解方法具有较强的理论性和一定的计算工作量,因而,常常会影响在工程环境中的应用。该文提供一种方法,当被控对象为高阶惯性环节时,可运用代数学中普遍应用的二项式定理,将高阶惯性环节的状态反馈极点配置问题的矩阵运算转换成代数运算,从而简化了状态反馈极点配置问题的求解过程。该方法简单实用,仿真试验结果表明了该算法的有效性。更多还原

【Abstract】 Dynamic behavior and each performance index of a control system depend on the positions of the poles in the system at some extent; therefore, one target of synthesis of system is to take a group of desirable poles on the s plane. The pole-placement namely is to make poles of closed loop of system just at positions of a group of desirable poles by selecting state feedback matrix. The theorem of poles-placement answered the question that what is the condition to place poles at will just only by means of state feedback. At meanwhile, it can be seen that different state gain matrix can be gotten by applying different solution method for a certain question of pole-placement of state feedback. This shows the solution of pole-placement of state feedback is not exclusive.Because the solution method of poles-placement of state feedback has quite deep of theorization and also has a lot of calculation workload, it often can not be applied very well in the practice. This paper provides a method that binomial theorem applied in the algebra can change the matrix calculation of state feedback抯 poles-placement into algebra computation for the control systems such as boiler super-heater temperature control because of the controlled objects having the trait of higher-order inertia link. The method given by this paper is not only simple but also practicable, at the same time having specific project meaning. Simulation test proves that this algorithm is effective.更多还原