Finite-Time Bounded Tracking Control for Fractional-Order Systems

This article solves the finite-time bounded tracking control problem for fractional-order systems. Firstly, by taking fractional derivative on state equations and error signals, a system is constructed, signal taken as output vector of system. Secondly, feedback controller introduced into system, disturbance signals desired are combined Thus, original converted input-output finite time stability closed-loop Thirdly, based linear matrix inequalities (LMIs), sufficient conditions which ensure derived. Therefore, obtained. Finally, simulation results elucidate effectiveness controller.