... and the periodicity and continuity of repetitive control to convert the design problem into a robust stabilization problem for a continuous-discrete 2D system. The LMI technique and Lyapunov stability theory are used to derive an LMI-based asymptotic stability condition that can be used directly in the design...

... 11 12 13 14 ) for the uncertain interval systems over the past years such that robust stability ( 15 ) and desired performance specifications are attained under parameter variations. If WDSE > WDSE r q , set T UB as T c and go to Step 5. If WDSE...

... . Because the given delay h ( t ) is time variant, the previous work in ( 10 ) cannot be applied in this case. By the result in ( 11 ), we can obtain the robust stability bound η * = 0.058 from the proposed LMI-based algorithm, and the stability of the considered system...

...El Houssaine Tissir This paper focuses on the analysis and synthesis of a robust stabilizing controller for linear discrete time systems with norm-bounded time varying uncertainties. Delay independent robust stability conditions are derived and two synthesis methods are presented. One method...