Robust control for a class of uncertain in systems with time-delay and nonlinear perturbation

摘要

The delay-dependent stability criterions for time-delay systems with nonlinear perturbation are discussed. Based on Lyapunov stability theory, a sufficient condition for delay-dependent asymptotically stable is derived in terms of linear matrix inequalities (LMIs) technique which is easy to solve. Then the stability criterion is used to design a robust state feedback controller. Finally, a numerical example is presented to illustrate the efficiency of the obtained result.