Model-free control of LTI systems: An algebraic state estimation approach

This manuscript is concerned with the robust stabilization of a class of Linear Time Invariant (LTI) systems. The considered controller is based on output derivatives estimation. For the state estimation, a non-asymptotic approach based on elementary algebraic manipulation will be used. This approach leads to specific formulate for the unmeasured states. The robust stability synthesis of the closed loop is studied via Lyapunov function approach leading to the system and the observer-based controller discretization. An example of a second order system is given to illustrate the effects of the sampled period and the estimator parameters.