Tustin method discretization

1. What is the formula for Tustin transformation?
2. What is the Tustin approximation?
3. How do you discretize a continuous system in Matlab?
4. How does c2d work in Matlab?

What is the formula for Tustin transformation?

For example, applying the Tustin transform at frequency σ0 = 1 to H(z) = 1/z yields G(s) = (1 − s)/(1 + s).

What is the Tustin approximation?

Absfract-The Tustin approximation is a simple way for determina- tion of a discrete-time representation of a continuous-time control system and is sufficiently precise, if a sampling interval is chosen properly.

How do you discretize a continuous system in Matlab?

sysd = c2d( sysc , Ts ) discretizes the continuous-time dynamic system model sysc using zero-order hold on the inputs and a sample time of Ts . sysd = c2d( sysc , Ts , method ) specifies the discretization method. sysd = c2d( sysc , Ts , opts ) specifies additional options for the discretization.

How does c2d work in Matlab?

c2d (Function Reference) sysd = c2d(sys,Ts) discretizes the continuous-time LTI model sys using zero-order hold on the inputs and a sample time of Ts seconds. Zero-order hold. The control inputs are assumed piecewise constant over the sampling period Ts .