Yes, If your controller block is discrete, you can pass them directly into continuous block(s), so that you will have a discrete input acting on a continuous-time plant.
Take a look at this previously answered question for an example of how this is done: How to convert a signal from discrete to continuous in Simulink block diagram?
You should be able to use any classical analysis tools and methods you need on this model. Here's some information on Control System Design and Tuning .
