On discontinuous static output feedback control for linear systems with nonlinear disturbances

In this paper, a robust stabilisation problem using static output feedback is studied for a class of linear systems with matched and mismatched nonlinear disturbances. Two discontinuous output feedback control schemes are synthesised: one is based on sliding mode methods and the other based on Lyapunov techniques. The output information appearing in the nonlinear bounds is separated from the unmeasurable part of the state and it is directly used in the control design to enhance robustness. Some discussions are presented to compare the two approaches.