模擬電路二階系統(tǒng)模型設(shè)計(jì)與仿真(PID參數(shù)調(diào)節(jié))

.④二階系統(tǒng)阻尼比越大,系統(tǒng)超調(diào)量越小,系統(tǒng)穩(wěn)定性越好。且最佳阻尼比在0.7左右時(shí),二階系統(tǒng)為最佳狀態(tài)。4個(gè)人總結(jié)附錄實(shí)驗(yàn)程序：%%求階躍響應(yīng)的典型指標(biāo)

functionmain_GetPerformanceOfStepResponseclc

clearall

closeallglobalgTolerance

gTolerance=0.05;%調(diào)整時(shí)間的偏差容許圍%%test

wn=X;

xi=Y;X,Y的值視具體情況而定

g=tf<wn^2,[1,2*xi*wn,wn^2]>;

t=0:0.01:;

y=step<g,t>;%%計(jì)算階躍響應(yīng)的指標(biāo)

stepvalue=1;

[OverShoot,RiseTime,PeakTime,AdjustTime,SteadyStateError]=GetPerformanceOfStepResponse<t,y,stepvalue>;%繪圖

figure

plot<t,y>

gridonline<[PeakTime,PeakTime],[0,<1+OverShoot/100>*stepvalue],'color','r'>

text<PeakTime,stepvalue*0.05,sprintf<'峰值時(shí)間%.2f',PeakTime>>

text<PeakTime,<1+OverShoot/100+0.05>*stepvalue,sprintf<'超調(diào)量%.2f%%',OverShoot>>line<[RiseTime,RiseTime],[0,stepvalue],'color','r'>

text<RiseTime,-stepvalue*0.05,sprintf<'上升時(shí)間%.2f',RiseTime>>line<[AdjustTime,AdjustTime],[0,stepvalue*<1+gTolerance>],'color','r'>

text<AdjustTime,stepvalue*0.05,sprintf<'調(diào)整時(shí)間%.2f',AdjustTime>>line<[AdjustTimet<end>],stepvalue*[<1-gTolerance>,<1-gTolerance>],'color','r','linestyle','--'>

text<AdjustTime,stepvalue*<1-gTolerance-0.05>,sprintf<'容許圍%.2f',1-gTolerance>>

line<[AdjustTimet<end>],stepvalue*[<1+gTolerance>,<1+gTolerance>],'color','r','linestyle','--'>

text<AdjustTime,stepvalue*<1+gTolerance+0.05>,sprintf<'容許圍%.2f',1+gTolerance>>

text<t<end>*0.9,stepvalue*1.05,sprintf<'穩(wěn)態(tài)誤差%f',SteadyStateError>>end%%求階躍響應(yīng)的典型指標(biāo)

function[OverShoot,RiseTime,PeakTime,AdjustTime,SteadyStateError]=GetPerformanceOfStepResponse<t,y,stepvalue>globalgTolerance%超調(diào)量和峰值時(shí)間

[OSValue,OSIndex]=max<y>;

OverShoot=<OSValue-stepvalue>/stepvalue*100;

PeakTime=t<OSIndex>;%上升時(shí)間

index=find<y>=stepvalue,1,'first'>;

RiseTime=t<index>;%調(diào)整時(shí)間和穩(wěn)態(tài)誤差

index1=find<y<=stepvalue*<1-gTolerance>,1,'last'>;%容許圍由全局變量指定

index2=find<y>=stepvalue*<1+gTolerance>,1,'last'>;ifisempty<index2>%如果沒(méi)有超調(diào)量,此值為空

index=index1;

else

index=max<index1,index2>;

end

index=max<index1,index2>;

AdjustTime=t<index>;SteadyStateError=mean<y<index:end>>-stepvalue;%這里的穩(wěn)態(tài)誤差計(jì)算為調(diào)整時(shí)間后的數(shù)據(jù)平均值與給定輸入的差,概念上是最后時(shí)刻的值與給定輸入的差end參考文獻(xiàn)[1]勤賢,王培良,郭永洪,等.