aman2909
aman2909

Reputation: 13

How to solve this ode equation where one of the inputs has some delay and equation has written in matrix form in MATLAB ode45?

I have an ode equation in matrix form.

A=[ -0.1078 0 0 0 -10 0; 0 -0.0898 0 0 0 -8.3333; 0 0 -0.2352 0 10 0; 0 0 0 -0.196 0 8.3333; 1 0 -1 0 0 0; 0 1 0 -1 0 0]; and B=[0.3313 0 -8.9335 0; 0 0.2761 0 -7.4446; 0 0 3.7249 0;0 0 0 3.104; 0 0 0 0; 0 0 0 0];. C=[ 0 0 1.4206 1.4206 0 0] and D= [0 0 -15 -15]. x=[x1;x2;x3;x4;x5;x6]; u=[u1;u2;f1;f2];, where u1=0.045, u2=0.038 in which u1 is acting at t=0 and u2 will act after 20 seconds before that it is 0 (i.e. if t<=20 u2=0; else u2=0.038;) and f1=0; f2=0;. xdot=[x1dot;x2dot;x3dot;x4dot;x5dot;x6dot]; Initial conditions is x0=[0 0 0 0 0 0], Tspan=[0 40]

Finally the ode is dx=A*x + B*u and output equation is y= C*x + D*u.

How to solve this ode equation where one input u2 has some delay in MATLAB ode45?

Upvotes: 0

Views: 145

Answers (1)

James Tursa
James Tursa

Reputation: 2636

Run your system for 20 seconds with u2=0. Then take that result as initial conditions for a new run with u2=0.038

Upvotes: 0

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