Disturbance attenuation for neutral descriptor semi‐Markovian jump systems with saturation nonlinearity and time delays

Abstract

This article examines the construction of the tracking control as well as the disturbance attenuation for a class of neutral descriptor semi‐Markovian jump systems involving input time delays. On the basis of Matausek–Micic modified Smith prediction technique, a modified equivalent‐input‐disturbance and multiperiodic modified repetitive controller has been developed for obtaining the required results. In order to reject external disturbances actively, the modified equivalent‐input‐disturbance technique is utilized. To be more explicit, the modification of the Smith predictor block and integration of the transfer function provide accurate estimate, efficient attenuation of external disturbance and proper compensation for input time delays. While constructing the controller gain matrices, the specified matrix inequalities are solved concurrently. At last, the potential and applicability of the framed control law are illustrated through the simulated findings.