Research Projects

Many engineering systems may be characterized in practice by semi-Markovian jump-based differential equations. Furthermore, when the complexity of semi-Markovian jump systems (sMJss) increase, because of inescapable critical elements such as nonlinearities, cyber assaults, uncertainties, unknown delays, and external disturbances, which may result in poor control tracking performance. Yet, in order to improve tracking performance, most present tracking control techniques need the bound value of the lumped disturbances. It may be difficult to obtain the necessary knowledge on nonlinearities, uncertainties, unknown delays, and external disturbances in some real-time applications. As a result, overcoming the aforementioned challenges in the analyses and synthesis of tracking control design in sMJss is vital and significant. Whilst, faults generated by actuators, sensors, or other components, are regularly encountered in tracking control design, which may result in inadequate performance and damage to the control system. The tracking control system, in particular, is under great demand for performance, safety, and reliability. As a result, it is assumed that if a problem develops in the control design, the system would automatically identify it and adapt its effect while giving the intended performance. In addition, a robust tracking controller will be built to deal with accidental norm-bounded additive and multiplicative perturbations in the system design. Particularly, tracking control performance for sMJss will be improved when disturbances and uncertainties arise in control activities. The fault-tolerant tracking control method, in particular, will be designed to compensate for the impacts of mismatched faults and obtain superior tracking performance. Ultimately, theoretical conclusions will be validated using numerical simulations, which will enable to do the experimental tests in industries. Based on the preceding considerations, this research will produce optimum analyses of robust resilient tracking control systems for various forms of semi-Markovian jump models represented by real-world issues.