Disturbance-decoupled control synthesis for conformable fractional-order linear systems: A geometric approach.

This paper investigates the theoretical requirements for conformable fractional-order linear systems to satisfy the fundamental principles of invariant subspaces, which are the foundation of geometric control theory, for the first time. The problem of exact disturbance decoupling in conformable fractional linear systems is tackled using newly developed geometric tools. Moreover, a set of necessary and sufficient conditions has been established to address this problem, which, at the same time, stabilizes the compensated system for any initial condition in the presence of unknown disturbances. We also show that employing the conformable fractional model as a synthesis model for geometric geometric decoupling control provides a better understanding of the structural system-theoretic characteristics of fractional systems, while upholding the fundamental properties of integer systems. To illustrate the applicability and effectiveness of the theoretical findings, two numerical simulations, including an application to an active suspension system, were carried out and compared with those of the Caputo derivative. [ABSTRACT FROM AUTHOR]