Event based robust stabilization of linear systems

This paper discusses the robust stabilization of a linear time-invariant system based on event triggering strategy. In most practical system, it is not possible to update control in continuous manner, so it is given to plant at some periodic discrete instants only. Recently, the event based control technique for control law update has become popular as it uses the resources efficiently while guaranteeing closed loop system stability. We address here the event based sliding mode control for a linear system in the presence of disturbances and it is shown that the closed loop system achieves stability with respect to measurement errors. The expression for minimum control execution time, where the control law gets updated only after this time interval is also derived. Simulation results are given to verify the theoretical analysis.