H∞ control of singular time-delay systems via discretized Lyapunov functional

This paper addresses the problem of robust H ∞ control for uncertain continuous time singular systems with state delays. A new singular-type complete quadratic Lyapunov–Krasovskii functional (LKF) is introduced, which combines with the discretization LKF method to synthesis problems. An improved bounded real lemma (BRL) is presented to ensure the system to be regular, impulse free and stable with H ∞ performance condition. Based on the BRL, a memoryless state feedback controller is designed via linear matrix inequalities (LMIs), which greatly reduces the disturbance attenuation level. Numerical examples are given to illustrate improvements over some existing results.