#http://www.totofweb.net/robots-projet-55.html restart; with(inttrans):

#Fonctions de transfert associ\303\251es \303\240 U et Cr (voir document PDF) Hm:=solve(((laplace(U*Heaviside(t),t,p)-Ke*OmegaM)*Kc/(R+L*p))/(J*p)=OmegaM,OmegaM)/laplace(U*Heaviside(t),t,p); Gm:=solve(((laplace(U*Heaviside(t),t,p)-Ke*OmegaM)*Kc/(R+L*p)-Kcr*OmegaM)/(J*p)=OmegaM,OmegaM)/laplace(U*Heaviside(t),t,p);

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f:=laplace(U*Heaviside(t),t,p)*Hm; # Sans couple r\303\251sistant

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F:=simplify(invlaplace(f,p,t)): #Applications num\303\251riques d'un moteur Maxon Ke := 0.0603: Kc := 0.0603: Kcr:= 0.01: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): U := 12: #Valeur finale Vf:=evalf(limit(F,t=infinity)); #=evalf(limit(p*f,p=0))=U/Ke

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

#Courbe d'\303\251volution plot([Vf,F(t)],t=0..0.5,gridlines,thickness=[1,2],color=[blue,red]);

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

#RAZ des applications num\303\251riques Ke := 'Ke': Kc := 'Kc': R := 'R': J := 'J': L := 'L': U := 'U':

Hp:=Kp->solve((laplace(OmegaC*Heaviside(t),t,p)-OmegaM)*Kp*Hm=OmegaM,OmegaM)/laplace(OmegaC*Heaviside(t),t,p): Fp:=Kp->simplify(invlaplace(Hp(Kp)*laplace(OmegaC*Heaviside(t),t,p),p,t)): Up:=Kp->simplify(invlaplace(Hp(Kp)*laplace(OmegaC*Heaviside(t),t,p)/Hm,p,t)): Ke := 0.0603: Kc := 0.0603: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): OmegaC:=200: plot([OmegaC,Fp(0.2),Fp(0.5),Fp(1),Fp(2),Fp(5)],t=0..0.04,axis=[gridlines=[10, color=grey]]); plot([Ke*OmegaC,Up(0.2),Up(0.5),Up(1),Up(2),Up(5)],t=0..0.04,axis=[gridlines=[10, color=grey]]);

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#Courbes montrant l'apparition d'oscillations plot([OmegaC,Fp(5),Fp(20),Fp(50)],t=0..0.005,axis=[gridlines=[10, color=grey]]); plot([Ke*OmegaC,Up(5),Up(20),Up(50)],t=0..0.005,axis=[gridlines=[10, color=grey]]);

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#Courbes ne d\303\251passant pas les valeurs maximales plot([OmegaC,Fp(0.05),Fp(0.1),Fp(0.15)],t=0..0.2,axis=[gridlines=[10, color=grey]]); plot([Ke*OmegaC,Up(0.05),Up(0.1),Up(0.15)],t=0..0.2,axis=[gridlines=[10, color=grey]]);

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

Ke := 'Ke': Kc := 'Kc': R := 'R': J := 'J': L := 'L': OmegaC:='OmegaC':

Hpi:=(Kp,Ki)->solve((laplace(OmegaC*Heaviside(t),t,p)-OmegaM)*(Kp+Ki/p)*Hm=OmegaM,OmegaM)/laplace(OmegaC*Heaviside(t),t,p): Fpi:=(Kp,Ki)->simplify(invlaplace(Hpi(Kp,Ki)*laplace(OmegaC*Heaviside(t),t,p),p,t)): Upi:=(Kp,Ki)->simplify(invlaplace(Hpi(Kp,Ki)*laplace(OmegaC*Heaviside(t),t,p)/Hm,p,t)): Ke := 0.0603: Kc := 0.0603: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): OmegaC:=200: #courbes d'\303\251volution et tensions correspondantes plot([OmegaC,Fpi(1,0),Fpi(1,100),Fpi(1,320),Fpi(1,1000)],t=0..0.05,axis=[gridlines=[10, color=grey]]); plot([Ke*OmegaC,Upi(1,0),Upi(1,320),Upi(1,100),Upi(1,1000)],t=0..0.05,axis=[gridlines=[10, color=grey]]);

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#valeurs ne d\303\251passant par la zone limite d'endommagement plot([OmegaC,Fpi(0.15,0),Fpi(0.15,2),Fpi(0.15,4),Fpi(0.15,8)],t=0..0.2,axis=[gridlines=[10, color=grey]]); plot([Ke*OmegaC,Upi(0.15,0),Upi(0.15,2),Upi(0.15,4),Upi(0.15,8)],t=0..0.2,axis=[gridlines=[10, color=grey]]);

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

Ke := 'Ke': Kc := 'Kc': R := 'R': J := 'J': L := 'L': OmegaC:='OmegaC':

Hpid:=(Kp,Ki,Kd)->solve((laplace(OmegaC*Heaviside(t),t,p)-OmegaM)*(Kp+Ki/p+p*Kd)*Hm=OmegaM,OmegaM)/laplace(OmegaC*Heaviside(t),t,p): Fpid:=(Kp,Ki,Kd)->simplify(invlaplace(Hpid(Kp,Ki,Kd)*laplace(OmegaC*Heaviside(t),t,p),p,t)): Upid:=(Kp,Ki,Kd)->simplify(invlaplace(Hpid(Kp,Ki,Kd)*laplace(OmegaC*Heaviside(t),t,p)/Hm,p,t)): Ke := 0.0603: Kc := 0.0603: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): OmegaC:=200: #Courbes respectant la zone de fonctionnement normale du moteur #elles peuvent sembler aberrantes, mais c'est en fait le r\303\251sultat de la discontinuit\303\251 de la d\303\251riv\303\251e de l'erreur en 0 plot([OmegaC,Fpid(0.15,8,0),Fpid(0.15,8,0.01)],t=0..0.2,axis=[gridlines=[10, color=grey]]); plot([Ke*OmegaC,Upid(0.15,8,0),Upid(0.15,8,0.01)],t=0..0.2,axis=[gridlines=[10, color=grey]]);

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

Ke := 'Ke': Kc := 'Kc': R := 'R': J := 'J': L := 'L': OmegaC:='OmegaC':

Ke := 0.0603: Kc := 0.0603: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): OmegaC:=200: plot([OmegaC,F(t),Fp(0.15),Fpi(0.15,4)],t=0..0.2,axis=[gridlines=[10, color=grey]]);

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

Hp:=Kp->solve((laplace(ThetaC*Heaviside(t),t,p)-ThetaM)*Kp*Hm/p=ThetaM,ThetaM)/laplace(ThetaC*Heaviside(t),t,p): Fp:=Kp->simplify(invlaplace(Hp(Kp)*laplace(ThetaC*Heaviside(t),t,p),p,t)): Up:=Kp->simplify(invlaplace(Hp(Kp)*laplace(ThetaC*Heaviside(t),t,p)/(Hm/p),p,t)): Ke := 0.0603: Kc := 0.0603: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): ThetaC:=300: #L'erreur statique est nulle m\303\252me en P car les frottements secs n'ont pas \303\251t\303\251 mod\303\251lis\303\251s (impossible de faire la transform\303\251e de Laplace) plot([ThetaC,Fp(0.1),Fp(0.2),Fp(0.5),Fp(1),Fp(2),Fp(5)],t=0..0.5,axis=[gridlines=[10, color=grey]]); plot([0,Up(0.1),Up(0.2),Up(0.5),Up(1),Up(2),Up(5)],t=0..0.5,axis=[gridlines=[10, color=grey]]);

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#Valeurs ne d\303\251passant pas la zone limite du moteur plot([ThetaC,Fp(0.02),Fp(0.05),Fp(0.1)],t=0..7,axis=[gridlines=[10, color=grey]]); plot([0,Up(0.02),Up(0.05),Up(0.1)],t=0..7,axis=[gridlines=[10, color=grey]]);

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

#Apparition d'oscillations plot([ThetaC,Fp(50),Fp(183),Fp(250)],t=0..0.15,axis=[gridlines=[10, color=grey]]);

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Ke := 'Ke': Kc := 'Kc': R := 'R': J := 'J': L := 'L': ThetaC:='ThetaC':

Hpi:=(Kp,Ki)->solve((laplace(ThetaC*Heaviside(t),t,p)-ThetaM)*(Kp+Ki/p)*Hm/p=ThetaM,ThetaM)/laplace(ThetaC*Heaviside(t),t,p): Fpi:=(Kp,Ki)->simplify(invlaplace(Hpi(Kp,Ki)*laplace(ThetaC*Heaviside(t),t,p),p,t)): Upi:=(Kp,Ki)->simplify(invlaplace(Hpi(Kp,Ki)*laplace(ThetaC*Heaviside(t),t,p)/(Hm/p),p,t)): Ke := 0.0603: Kc := 0.0603: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): ThetaC:=300: plot([ThetaC,Fpi(0.1,0),Fpi(0.1,0.02),Fpi(0.1,0.1),Fpi(0.1,0.2)],t=0..7,axis=[gridlines=[10, color=grey]]); plot([0,Upi(0.1,0),Upi(0.1,0.02),Upi(0.1,0.1),Upi(0.1,0.2)],t=0..7,axis=[gridlines=[10, color=grey]]);

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#Valeurs restant dans la zone de fonctionnement normal du moteur plot([ThetaC,Fpi(0.1,0),Fpi(0.1,0.01)],t=0..7,axis=[gridlines=[10, color=grey]]); plot([0,Upi(0.1,0),Upi(0.1,0.01)],t=0..3,axis=[gridlines=[10, color=grey]]);

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Ke := 'Ke': Kc := 'Kc': R := 'R': J := 'J': L := 'L': ThetaC:='ThetaC':

Hpid:=(Kp,Ki,Kd)->solve((laplace(ThetaC*Heaviside(t),t,p)-ThetaM)*(Kp+Ki/p+p*Kd)*Hm/p=ThetaM,ThetaM)/laplace(ThetaC*Heaviside(t),t,p): Fpid:=(Kp,Ki,Kd)->simplify(invlaplace(Hpid(Kp,Ki,Kd)*laplace(ThetaC*Heaviside(t),t,p),p,t)): Upid:=(Kp,Ki,Kd)->simplify(invlaplace(Hpid(Kp,Ki,Kd)*laplace(ThetaC*Heaviside(t),t,p)/(Hm/p),p,t)): Ke := 0.0603: Kc := 0.0603: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): ThetaC:=300: plot([ThetaC,Fpid(0.05*183,0.1/(0.5*0.132/5),5*0.132/5)],t=0..1,axis=[gridlines=[10, color=grey]]); plot([0,Upid(0.05*183,0.1/(0.5*0.132/5),5*0.132/5)],t=0..1,axis=[gridlines=[10, color=grey]]);

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

#Valeurs ne d\303\251passant pas de la zone normale du moteur plot([ThetaC,Fpid(0.1,0,0),Fpid(0.08,0.01,0)],t=0..7,axis=[gridlines=[10, color=grey]]);

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

Ke := 'Ke': Kc := 'Kc': R := 'R': J := 'J': L := 'L': ThetaC:='ThetaC':

Hpid:=(Kp,Ki,Kd)->solve((laplace(ThetaC*Heaviside(t),t,p)-ThetaM)*(Kp+Ki/p+p*Kd)*Hm/p=ThetaM,ThetaM)/laplace(ThetaC*Heaviside(t),t,p): Fpid:=(Kp,Ki,Kd)->invlaplace(Hpid(Kp,Ki,Kd)*laplace(ThetaC*Heaviside(t),t,p),p,t): Upid:=(Kp,Ki,Kd)->invlaplace(Hpid(Kp,Ki,Kd)*laplace(ThetaC*Heaviside(t),t,p)/Hm,p,t): Ke := 0.0603: Kc := 0.0603: R := 1.91: J := 10^(-4): L := 0.63*10^(-3): ThetaC:=300: plot([ThetaC,Fpid(183,0,0)],t=0..0.2,axis=[gridlines=[10, color=grey]]); Kplim:=183: Tosc:=0.183/7:

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plot([ThetaC,Fpid(0.6*Kplim,1/(0.5*Tosc),0.125*Tosc)],t=0..0.05,axis=[gridlines=[10, color=grey]]);

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