Delay-dependent robust ℋ∞ control of uncertain linear systems with input delay

Examines the problems of robust stabilization and robust ℋ _∞ control for linear systems with both delayed and non-delayed inputs and subject to norm-bounded parameter uncertainty. The case of a single, constant time-delay is considered. Attention is focused on the design of memoryless state feedback controllers that guarantee either closed-loop stability or closed-loop stability with an ℋ_∞ performance for any delay not larger than a given bound and for all admissible uncertainties. The proposed methods are given in terms of linear matrix inequalities and the delay bound can be computed by using the standard LMI techniques