Composite hierarchical hybrid anti-disturbance control for Markovian jump systems with event-triggered disturbance

Abstract

This paper addresses the hybrid control for Markovian jump systems subject to multiple disturbances. One disturbance is an energy bounded signal, while the other is an event-triggered sinusoidal disturbance with unknown frequencies and amplitudes. Based on the framework of disturbance observer, we firstly propose novel proportional integral cascaded observers to estimate the unknown sinusoidal disturbance. Then, a disturbance detection (DD) algorithm, isolating the energy-bounded signal from the event-triggered disturbance, is proposed to approximately estimate the appearing and disappearing moments when such disturbance unpredictably occurs based on the output of the proposed observer. A novel hybrid anti-disturbance control algorithm composed of time-triggered control and event-triggered control is subsequently formulated. Finally, a numerical simulation is carried out to prove the effectiveness of the proposed control scheme.