Robust Controller Design for a Class of Time Delay Systems with Uncertainty

In this paper, a class of single input single output time-delay nonlinear systems with uncertainty is considered. Based on an iterative procedure known as backstepping, the Lyapunov-Krasovskii functionals are constructed at each step. By magnifying inequation at each step, a robust controller expression can be acquired, and the uniformly ultimately boundedness of the closed loop system can be guaranteed. A practice industry process -a two stage CSTR has been provided to illustrate the application of the main result. The simulation shows that the controller proposed in this paper has well control behavior.