Digital control of a family of time-delay feedforward systems with sparse sampling

Abstract

For a family of time-delay feedforward systems satisfying a linear growth condition, we study the problem of global asymptotic stabilization by digital state and output feedback, respectively, under arbitrarily sparse sampling. Using the Lyapunov–Krasovskii functional method and the feedback domination design, we construct memoryless sampled-data state and/or output feedback controllers that achieve global asymptotic stability of the hybrid closed-loop systems with large delays. Applications of the sampled-data control schemes are demonstrated through an example with simulations.