Composite nonlinear impulsive control for switched singular systems

This paper investigates the composite nonlinear impulsive control for switched singular systems. In order to track the time vary reference input of this systems class, a controller consisting of linear, nonlinear feedbacks and impulsive part is introduced. Based on the equivalent transformation, the closed-loop systems are substituted by decomposition forms. The tracking problem is converted into stabilizing the corresponding error systems exponentially by variable substitution. An average dwell time based result is obtained. States jump at switching instants is dealt with by impulsive controller. By optimizing the impulsive controller, the states jump can be compressed or even be eliminated. At last, numerical example is given to illustrate the effectiveness of the results proposed.