Classicalcontroltheory经典控制理论精美英文ppt课件

1、Introduction of classical control theory,Content,Development,Root locus plot,Frequency-domain analysis,The development of classical control theory,In 1868, British physicist J.C. Maxwell（麦斯威尔） proposed algebraic stability criterion.（稳定性代数判据,Rolls (EJ Routh) and Hurwitz (A. Hurwitz) propos-ed two fam

2、ous stability criterion - Routh criterion and Hurwitz criterion.(劳斯判据和胡尔维茨判据,In1932, American physicist Nyquist (H. Nyquist) proposed the frequency response method. (频率响应法,The development of classical control theory,Bode(伯德) and Nichols（尼科尔斯） proposed the frequency- domain analysis in the field of c

3、lassical control theory,Wiener （维纳）published “ cybernetics（控制论） - on the animal and the machine control and communication science .,The famous Chinese scientist Qian Xuesen（钱学森） applied control theory to engineering, publishing “ engineering cybernetics .“(工程控制论,Classical control theory,welcome to u

4、se these PowerPoint templates, New Content design, 10 years experience,The transfer function, root locus method and frequency-domain analysis are the primary analysis and design tools in classical control theory. They constitute the basic framework of classical control theory,传递函数，根轨迹和频域分析是经典控制论中重要的

5、分析设计工具。他们组成了经典控制论的基础框架,Translation,Classical control theory,Classical control theory is mainly used to solve the analysis and design problems of feedback controller in control systems,The root locus method,Definition,The root locus is a curve of the location of the poles of a transfer function as so

6、me parameter (generally the gain K) is varied. The number of zeros does not exceed the number of poles,Explanation,The root locus is the path of the roots of the characteristic equation traced out in the s-plane as a system parameter (参数)is changed,The root locus procedure,Step 1:Write the character

7、istic equation as： K is the parameter that is variable. Example,Step 2:Factor(分解) P(s),write the polynomial（多项式） in the form of poles and zeros,The root locus procedure,Step 3:Locate the poles and zeros of P(s) on s-plane with selected symbols,NOTICE: The locus of the roots of the characteristic equ

8、ation 1+KP(s)=0 begins at the poles of P(s) and end at the zeros of P(s) as K increases form 0 to infinity(无穷,The root locus procedure,Step 4:Locate the segments of the real axis that are root loci. The root locus on the real axis always lies in a section of the real axis to the left of an odd numbe

9、r of poles and zeros,Step 5: The root loci must be symmetrical（对称的） with respect to the horizontal real axis,The root locus procedure,Step 6 :Asymptotes（渐近线） of the root loci. 渐近线与实轴相交点的坐标为： 渐近线与实轴正方向的夹角为,Bode Plot,A Bode plot is a graph of the transfer function of a linear, time-invariant system ve

10、rsus frequency, plotted with a log-frequency axis, to show the systems frequency response,Bode plot,Bode magnitude plot (幅频图,expresses the magnitude of the frequency response gain,Bode phase plot (相频图,expresses the frequency response phase shift,Exercise,系统的开环传递函数 G(s)=k/s(T1*s+1)*(T2*s+1) (T1T2)，画出伯德图,Nyquist stability criterion,The Nyquist stability criterion is a graphical technique for determining the stability of a system. Because it only looks at