Unified modifiable parameter-based fault reconstruction and fault-tolerant tracking control for uncertain periodic piecewise polynomial systems

This research looks into the topic of unified modifiable parameter-based fault reconstruction-based fault tolerant tracking control for uncertain periodic piecewise polynomial systems subject to external disturbances, faults and time delay. Specifically, the periodic piecewise polynomial-based observer is built for the purpose of estimating both the faults and states of the system. This particular set-up entails two separate modifiable parameters with the aim of improving the precision of fault estimation. Further, by laying down the error variables in line with actual and reconstructed states and faults in the underlying system, the augmented system is crafted. Subsequently, a fault-tolerant tracking control is put forwarded which drives the undertaken system dynamics to align the modelled reference dynamics. Then, prerequisite constraints with satisfied disturbance attenuation level guaranteeing the primary intent are established in light of Lyapunov stability theory and the matrix polynomial lemma. Conclusively, simulation results highlighting the credibility and effectiveness of the theoretical conclusion and control structure have been presented.