In this work, we deal with the time-delay system with uncertainty. The feedback controller can be designed by optimal method. Here we concerns a problem of robust H-¿ control for uncertain systems with time-varying delay, and The time-delay is time-varying and unknown but is norm-bounded. A new delay-dependent robust H-¿ controller is presented in terms of matrix inequalities (LMI). In this book, the H¿ control law is assumed to be a memory less state feedback and is on the size of time derivative. The close-loop system with the designed controller is asymptotically stable and guarantees the H¿ norm-bound for all the admissible uncertainties. As a result, we obtained the allowable delay time for the system with Time-varying uncertainty with time-varying disturbance and designed a feedback controller to further ensure its stability.

Dr. Amit Kumar Singh is currently working as an Assistant professor at NIT, Jalandhar. He did his PhD degree at IIT, Roorkee and M. Tech from NIT, Kurukshetra, with Gold Medal. He has published many papers in indexed journals and conference proceedings. His research area is Control system Application, process control and renewable energy.