How to linearize this state space model and write it in discrete form?

1. How do you Linearize a nonlinear state-space model?
2. How to solve state-space model in Matlab?
3. What is the command used to linearize the nonlinear system in Matlab?

How do you Linearize a nonlinear state-space model?

Linearization of State-Space Models

˙x=f(x,u)(nonlinear state-space model)x=(x1⋮xn),u=(u1⋮um),f=(f1⋮fn), we can apply Taylor expansion in multivariables. Assume x=0,u=0 is an equilibrium point: f(0,0)=0, i.e., when the system is at rest and no control is applied, the system does not move.

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 .

What is the command used to linearize the nonlinear system in Matlab?

x ˙ ( t ) = f ( x ( t ) , u ( t ) , t ) y ( t ) = g ( x ( t ) , u ( t ) , t ) . In these equations, x(t) represents the system states, u(t) represents the inputs to the system, and y(t) represents the outputs of the system.