Towards a new minimum-energy criterion for nonsquare LTI state-space perfect control systems

Abstract

In this paper a criterion for minimizing the control energy of discrete-time perfect control systems is presented. It is shown, that there is an analytical formula which allows to estimate the control cost of said algorithm. Following the recently presented issues concerning the minimum-energy perfect control the new formula which monitors the system properties better than the old one is shown here. Simulation examples made in Matlab/Simulink environment confirm useful behavior of the new proposed criterion in the minimum-energy perfect control tasks.