State feedback simplex control design for systems with non-matching disturbances and uncertainties

Abstract

This paper considers state feedback simplex control of a linear system affected by disturbances and uncertainties that do not satisfy the matching condition. To achieve robust stabilization and performance, several procedures are proposed whereby the desired sliding hypersurface is designed using Algebraic Riccati Equations (AREs) to bound disturbance effects in the sliding regime. These procedures for designing the sliding hypersurface can also be used in conjunction with any other Variable Structure Control (VSC) scheme that assures the reaching of a sliding mode.