>> G1=zpk([-2],[0,-0.5,-0.8,-3],0.2)
G1 =
0.2 (s+2)
-----------------------
s (s+0.5) (s+0.8) (s+3)
Continuous-time zero/pole/gain model.
>> G=feedback(G1)
>> pzmap(G)
▲ 零极点图看出,稳定
>> syms K T;
assume(T<2&T>0);
assume(K>0);
isAlwaya((2+T)*(K+1)-2*T*K>0)
>>assume(T>2)
>d=(2+T)*(K+1)-2*T*K
>K=solve(d,K)
>T=(2+eps):0.01:10
>K=(T+2)./(T-2)
>> G1=zpk([],[0,-1,-10],50)
G1 =
50
--------------
s (s+1) (s+10)
Continuous-time zero/pole/gain model.
G2=zpk([],[0,-1,-10],200)
G2 =
200
--------------
s (s+1) (s+10)
Continuous-time zero/pole/gain model.
>>sys1=feedback(G1,1)
>>pzmap(sys1)
>>margin(sys1)
>>sys2=feedback(G2,1)
>>pzmap(sys2)
>>margin(sys2)
G=tf(conv([19 1],[0.44 1]),conv([0.625 1],conv([0.676 -1],conv([43.5 -1],conv([0.033 1],[0.0004 0.015 1])))))
G =
8.36 s^2 + 19.44 s + 1
---------------------------------------------------------------------------
0.0002426 s^6 + 0.01647 s^5 + 0.8832 s^4 + 18.43 s^3 - 0.2936 s^2
- 43.5 s + 1
Continuous-time transfer function.
>> bode(G)
allmargin(G)
ans =
包含以下字段的 struct:
GainMargin: [2.4020 78.1546]
GMFrequency: [0.4163 32.1207]
PhaseMargin: -180
PMFrequency: 0
DelayMargin: Inf
DMFrequency: 0
Stable: 0
>> G1=zpk([],[-1,-2,-5],100)
G1 =
100
-----------------
(s+1) (s+2) (s+5)
Continuous-time zero/pole/gain model.
>> nyquist(G1)
▲ 稳定
G1 =
500
-----------------
(s+1) (s+2) (s+5)
Continuous-time zero/pole/gain model.
>> nyquist(G1)
▲ 不稳定
G=tf([1 15 16 200],[ 1 10 30.6 155 153.7 5.65])
G =
s^3 + 15 s^2 + 16 s + 200
--------------------------------------------------
s^5 + 10 s^4 + 30.6 s^3 + 155 s^2 + 153.7 s + 5.65
Continuous-time transfer function.
>> nyquist(G)
▲ 稳定
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