Finite-time control for discrete-time singular systems subject to actuator saturation

In this paper, the Finite-time control problem for discrete-time singular systems with actuator saturation is considered. A sufficient condition is obtained which guarantees that the discrete-time singular system with actuator saturation is regular, causal and satisfies the finite-time bounded (FTB) performance. Based on the derived condition, the design method of controller is developed by using linear matrix inequalities (LMI) optimization problem without any decompositions of system matrices and equivalent transformation. Numerical example is given to illustrate the effectiveness of the proposed methods.