OPTIMAL SLIDING MANIFOLD DESIGN FOR LINEAR SYSTEMS SUBJECTED TO A CLASS OF UNMATCHED DISTURBANCES

This paper offers the optimal sliding manifold design for the traditional sliding mode and integral sliding mode control of linear systems that minimizes the impact of unmatched constant or slowly-varying external disturbance vector. System sensitivity upon the unmatched disturbances is assessed by the steady-state dependent criterion function. The ability and efficiency of the adopted control strategies in solving the given optimization problem are analyzed. The proposed approach has been demonstrated and verified on numerical examples by computer simulations