NON-FRAGILE CONTROLLERS FOR A CLASS OF TIME-DELAY NONLINEAR SYSTEMS

The paper presents the complexity–reduced non-fragile state controller design for a class of continuous–time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time–delays. A low-order control design system is constructed first. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities (LMIs) for the delay-independent stability. Main result shows that when such non-fragile low–order controllers are implemented into each local controller of the decentralized controller for the global system, then the global closed–loop systems are globally asymptotically stable.