how can i write this equation in state space form ?

Question

zahra zamani 2020-5-1

0
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https://ww2.mathworks.cn/matlabcentral/answers/522304-how-can-i-write-this-equation-in-state-space-form

回答： Ameer Hamza 2020-5-1

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hello . i wanna write this equation in state space form at simulink .

please help me!

i write in a Matlab function in simulink:

function [dxdt1,dxdt2,dxdt3,dxdt4] = dynfcn(x1,x2,x3,x4,u)
%% parameters
Phils=-0.1104;M=1.1637;K=2.9327;alpha=0.183;
Gamma=0.4537;D=0.6;ws=9.896;F=0.42;G=0.028;
clo=0.28;Lambda=0.0676;
%% 4 states (x): 
x1=y;
x2=ydot;
x3=q;
x4=qdot;
%% output
dxdt1=x2;
dxdt2=(1/M)*(-((2*alpha)/(D*ws))*Gamma*x2-K*x1+Gamma*x3+Phils*u);
dxdt3=x4;
dxdt4=ws*G*clo^2*x4-ws^2*q-Lambda*x3^2*x4+((ws*F)/(D))*x2;