The paper extracts the limit , proves the inquation and confirms existence of roots , skillfully using langrangian middle value theorem 摘要应用拉朗日中值定理求极限,证明不等式以及确定方程的根。
This thesis presents an effective way to design pid controller through a combination of adverse deduce and genetic algorithm . the relationship between pid parameter and the root of the characteristic equation of the closed loop control system has been found out directly 本文直接找出pid参数与闭环控制系统的特征方程的根之间的关系,只要使特征方程的根在z平面的单位圆内任意取值,然后再求出相应的pid参数,则闭环控制系统必然是稳定的。
As long as the root of the characteristic equation is within the unit circle of z - plane and the corresponding pid parameter is got , the closed loop control system is sure to be stable . although the root of the characteristic equation can vary within the unit circle of z - plane , different value may affect the control property differently . therefore , it is better to optimize the root , here the optimizing method is carried out by genetic algorithm 本文所采用的这种确定pid参数的方法,虽然可以使特征方程的根在z平面的单位圆内任意取值,但各种取值情况对变风量空调系统的控制品质的影响却不同,因此,要对各种特征方程的根的取值情况进行寻优,本文采用遗传算法对特征方程的根进行寻优,从而使控制器的参数得以优化。
方程: equation的: 4次方是 The fourth power of 2 i ...根: root方根;方程的根: root特性方程的根: performance equation root方程式的根: root of equation(方程的)解: solution二次方程的: quadratic方程的次: degree of equation方程的端边: member of an equation方程的轨迹: locus of an equation方程的阶: order of equation方程的解集: solution set of equation方程的设立: construction of equation方程的图: graph of an equation; graph of equation差分方程的解: solution of difference equation方程的不变量: invariant of an equation方程的法线式: normal form of equation方程的积表示: product representation of equation方程的近似解: john slater douglas rayner hartree积分方程的核: kernel of an integral equation; kernel of integral equation; nucleus of an integral equation积分方程的和: kernel微分方程的阶: order of a differential equation; order of differential equation代数方程的结式: resultant of an algebraic equation代数方程的判别式: discriminant of an algebraic equation