Composite sliding mode adaptive tracking control for singularly perturbed semi-Markov jump non-linear systems with fault and disturbances

This work epitomizes the construction of composite sliding mode-oriented adaptive tracking controller for singularly perturbed semi-Markov jump non-linear systems exposed to multiple disturbances and actuator fault. Typically, a model reference adaptive tracking control algorithm composed of baseline control, enhanced error correction term and adaptive laws is embodied with sliding mode control law to attain robust and rapid tracking performance. On top of that, a disturbance observer is embedded with fault estimator configuration to simultaneously deliver precise evaluations of both exogenous disturbances and faults that influence the system state tracking processes and these assessment are assimilated into the established tracking protocol. Collectively, a robust composite sliding mode-oriented adaptive tracking control strategy with disturbance estimation and fault-tolerance strategies is devised to assure adequate tracking objectives as well as the extended dissipativity performance specifications. After then, by deploying relevant Lyapunov function terms, the necessities for confirming the stochastic stability with preset extended dissipativity performance of the adopted system is detailed into linear matrix inequalities. Furthermore, the reliability of the analysed findings is further affirmed by graphical illustrations attained from numerical simulations.