Improved resilient feedback stabilisation method for uncertain systems

The problem of resilient stabilisation for a class of continuous-time uncertain systems having norm-bounded parametric uncertainties is investigated. Both static and dynamic output-feedback resilient controller design is considered. The goal is to robustly quadratically stabilise the uncertain plant considering the controller gain perturbations. Sufficient conditions for the existence of static output feedback and dynamic output feedback resilient controllers are derived in terms of linear matrix inequalities. A numerical example for each type of controllers is illustrated to demonstrate their effectiveness.