Stabilization of Networked Control Systems with Piecewise Constant Generalized Sampled-data Hold Function

This paper is concerned with the control problem of networked control systems (NCSs) with piecewise constant generalized sampled-data hold function (PCGSHF). A new hybrid nonlinear NCSs model based on the PCGSHF is constructed, in which both the network-induced delay and the packet dropouts are considered in the transmission. By using a novel multi-datum point parameter method, the obtained NCSs model is divided into two parts, which are related to the given multi-datum point parameters and the bound uncertain multi-datum points, respectively. Correspondingly, the design of infinite PCGSHF can be achieved by giving finite multi-datum points. For handling the nonlinear term in system model, an effective norm bounded method is proposed based on the number of segments of PCGSHF. Next, the system stability is investigated based on Lyapunov theory and the linear matrix inequality (LMI) approach. Then, both the PCGSHF and networked feedback controller for guaranteeing the stability condition are designed. Moreover, a stability criterion based on maximum allowable network-induced delay rate is proposed for choosing a reasonable sampling period. Finally, one example is given to show the effectiveness and less conservatism of the results.