Sliding mode control design of linear continuous feedback systems: Two-steps LMI approach

This paper presents a sliding mode controller design of linear continuous systems with the guaranteed asymptotic stability. This controller design is done via two-steps linear matrix inequalities (LMI) approach. A degree of conservativeness is employed to facilitate linear forms of all controller parameters in the LMI formulation. Simulation examples are then given to show the effectiveness of the approach in both regulator and constant input tracking systems.