A new control algorithm based on discrete-time variable structure systems theory is proposed. The basic feature of this algorithm is that trajectories reach the sliding manifold in finite time, without chattering. Apart from stability, the robustness of the algorithm with respect to parameter uncertainties, as well as external disturbances is considered. It is demonstrated that the robustness is improved by decreasing the sampling period. The theory is illustrated on a DC servo-position system.
- Sliding mode
- Robust discrete systems
- Discrete variable structure systems