Parameter matrix σ-inverse in design of structurally stable pole-free perfect control for state-space systems

摘要

In this paper an approach to the pole-free perfect control design for discrete-time state-space systems with two state variables is given. It is shown, that exists a set of socalled degrees of freedom of parameter σ -inverse which enable to locate all poles of the closed-loop perfect control plant exactly at zero. Following the recently introduced preliminary issues concerning the pole-free perfect control problem the advanced study on appropriate selection of the above-mentioned modes is presented here. Notwithstanding, the proposed new solution is only valid for second-order systems thus giving rise to undertake a research effort soon. Simulation examples made in Matlab/Simulink environment confirm the big potential of the new method.