Impulsive control of linear systems via multi-module switching

In this work, we propose a sub-optimal aggregation approach for achieving stabilization and optimization of a class of linear systems with switched impulsive effect. A mixed time-driven and state-feedback switching mechanism is formulated, and we prove that the switching law is universal in the sense that any stabilizable system admits such a switching impulsive control law that makes the system stable. Furthermore, we modify the switching mechanism in a sub-optimal manner to improve the system performance.