Check out this header-only C++11 library of control and filter tools. Currently it features PID control, bi-quads (or second-order-sections), state-space systems and a PRBS (pseudo-random-binary-signal) system identification function.
The code-documentation and tests provide reference and example to use the library. Creating a second order floating-point state-space is easy:
Controllers and filters are often a good way to stabilise a system, condition a signal or make a system follow a reference. The usual approach is to model the system or signal in an application like MATLAB and then design a filter or controller. Either by applying design rules, some sort of optimisation algorithm or tuning parameters experimentally. When the design is finished the controller or filter is not ready for use yet. It is still necessary to realise it in practice. This is often done digitally on a micro controller or real-time computer. This article will describe a effective, open and fast approach to realising a filter or controller in C++.