Soft Variable Structure Controller Design for Descriptor Delta Operator Sampled Systems

For descriptor Delta operator sampled systems under the condition of complete controllability, a novel soft variable structure controller is designed in the paper. First, the system model is established according to the characteristics of the discretization method by Delta operator. Then, in terms of controller selection strategy, soft variable structure control (SVSC) with small chattering and fast reaching speed are considered. And then, the characteristics of SVSC under continuous time systems and discrete time systems are quite different, and the classical formula under continuous systems could make countless sub-controllers switch smoothly in a short time. This has different control characteristics from discrete time system where SVSC structure changes only at the sampling instants. Furthermore, the design of soft variable structure controller for descriptor Delta operator sampled systems, which makes the system reflect the characteristics of rapid convergence in the dynamic process. Finally, the proposed controller is simulated to show the feasibility and effectiveness of the control strategy.