ROBUST VARIABLE-STRUCTURE CONTROL SYNTHESIS IN DISCRETE-TIME UNCERTAIN SYSTEMS

This paper proposes a design technique for variable structure control to achieve the robust stabilization of uncertain discrete-time systems . The ''sliding control'' depends on the determination of the matrix C of the sliding surface. The reaching control is designed with the aid of an extended region from the sliding region and the locations of th e equilibrium points on the corresponding surfaces. The sliding region is also determined to avoid the occurrence of ''unstable switchback.' ' It should be noted that the reaching control gain is a simple vector with the same elements. This may cause the practical controller to be easily implemented.