How do I use MATLAB to obtain a continuous state equation from a transfer function and ode45 to solve it?

1. How to solving differential equations in MATLAB using ode45?
2. What is the MATLAB command for solving the differential equation?
3. How to use odeset in MATLAB?
4. How to solve state-space model in MATLAB?

How to solving differential equations in MATLAB using ode45?

Solve the ODE using ode45 . Specify the function handle so that it passes the predefined values for A and B to odefcn . A = 1; B = 2; tspan = [0 5]; y0 = [0 0.01]; [t,y] = ode45(@(t,y) odefcn(t,y,A,B), tspan, y0); Plot the results.

What is the MATLAB command for solving the differential equation?

Represent the derivative by creating the symbolic function Dy = diff(y) and then define the condition using Dy(0)==0 . syms y(x) Dy = diff(y); ode = diff(y,x,2) == cos(2*x)-y; cond1 = y(0) == 1; cond2 = Dy(0) == 0; Solve ode for y . Simplify the solution using the simplify function.

How to use odeset in MATLAB?

Use the odeset function to create an options structure that you then pass to the solver as the fourth input argument. For example, to adjust the relative and absolute error tolerances: opts = odeset('RelTol',1e-2,'AbsTol',1e-5); [t,y] = ode45(@odefun,tspan,y0,opts);

How to solve state-space model in MATLAB?

sys = ss( A , B , C , D , ltiSys ) creates a state-space model with properties such as input and output names, internal delays and sample time values inherited from the model ltisys . sys = ss( D ) creates a state-space model that represents the static gain, D .