Dynamic Precompensation for the Discrete Time Control Design of Continuous Time Generalized State Space Systems

ABSTRACT

This paper deals with the discrete time control design of continuous time generalized state space systems. The use of numerical controllers has largely developed this kind of control device. Considering generalized state space systems, a particular attention must be paid of to the choice of the hold device. In fact, for a non convenient one, impulsive behaviours disturb the system response after the initial time. The aim of this work is to prevent the arising of such behaviours. A dynamic precompensator is first proposed to smooth out the input corresponding to a 0-order hold function. A class of generalized sampled data hold functions is then derived.

Key Words:

• generalized state space systems
• discrete time control design
• precompensation
• generalized sampled data hold functions