Robust control for uncertain neutral systems with time-delays in state and control input via LMI and GAs

摘要

In this paper, the problem of robust control for uncertain neutral delay systems in state and control input is considered. The uncertainty under discussed is nonlinear time-varying perturbations and does not require a matching condition but is norm-bounded. Based on the constructive use of Lyapunov functional, delay-dependent stabilization criteria are proposed to guarantee robust stability for the systems via linear control. Linear matrix inequality and genetic algorithms are used to design a memoryless state-feedback controller. An example is given to illustrate our result is less conservative than other.