Tracking and disturbance attenuation control for stochastic switched systems with input delay

Abstract

This work precisely deals with the phenomena of state tracking, attenuation of external disturbance and compensation of input delay for switched stochastic dynamical systems via improved-equivalent-input-disturbance (IEID) estimator and Smith predictor based modified repetitive control design. By hosting the stochastic state observer and combining it with the IEID estimator and modified repetitive control design, a new closed-loop form of control system is formulated. To be specific, for the resultant closed-loop augmented configuration, a novel criterion which ensures the exponential stability of the considered system is derived in the form of linear-matrix-inequalities in accordance with the Lyapunov theory. Simultaneously, an IEID estimator and Smith predictor based modified repetitive control is designed in such a way that the states of the considered system track the specific reference input signals perfectly. Finally, as an example F-18 aircraft model is provided for describing the competence of the designed controller strategy and to explain the dominance of the obtained proposed controller over the existing results.