An approach for tracking analysis for linear systems with dead-zone nonlinearity applied to a hydraulic actuator

Resumen

Conditions for tracking analysis for linear systems with dead-zone nonlinearity are proposed by using LMI (Linear Matrix Inequalities) based algorithms. We treat the nonlinearity as a bounded disturbance and use the ultimate boundedness stability concept to estimate a region where the tracking error converges in a finite time and remains inside. The dead-zone nonlinearity is a common imperfection of directional control valves, which is a source of performance and stability degradations in control applications. In order to verify the obtained theoretical results using an real system, we consider a 3rd-order linear model of a hydraulic actuator system.