Robust Sliding Mode Control for a Class of Nonlinear Uncertain Neutral Systems

This paper investigates the robust sliding mode control problem for a class of nonlinear uncertain neutral systems. By selecting sliding surfaces dependent on both current states and delayed states, sufficient conditions for asymptotic stability of the closed-loop system are derived in the form of linear matrix inequalities (LMIs). The implementation involves constructing state-dependent switching functions and solving LMI constraints using MATLAB's LMI toolbox or equivalent optimization solvers.