This paper deals with the state feedback control of singular continuous-time linear systems with discrete-time state measurement. The sampling time period is time varying. Intuitively, descriptor or singular description of linear systems is more general than conventional state space description. In particular, a descriptor form includes information about algebraic as well as dynamic constraints. The use of a dynamic event-triggering mechanism (DETM) allows to design a stabilizing controller based on a Lyapunov function which leads to a strict inequality condition. The DETM is shown to insure that the inter-event time interval is lower bounded and as a consequence it avoids the Zeno phenomena. It is demonstrated that a continuous time singular system in a sampled data closed loop framework is badly posed unless the open loop is regular. In the case the open loop system is regular, it is shown that the fast component of the state vector exhibits a discontinuous behavior. Simulations are presented to illustrate the obtained results.
Discussion(0)
No comments yet. Be the first to comment.