Una Aproximación a la Cuantificación de la Controlabilidad de Estado.

In this paper a numerical index for quantifying state controllability for continuous and smooth nonlinear systems is proposed. With information obtained from the reachable and controllable sets, a reversible set at time t for a given system is defined. Size and shape measurements of a reversible set in an n-dimensional space are proposed allowing state controllability on a scale from zero to one. Procedures to compute such indexes are detailed. State controllability index is computed for three study cases verifying its correspondence with real controllability. The inclusion of time and admissible input constraints for state controllability analysis of nonlinear systems showed to be a useful tool for real control system implementation. [ABSTRACT FROM AUTHOR]