Stabilization of a class of piecewise-linear systems with random packet losses

This paper studies the problem of stabilization of piecewise-linear networked control systems with random communication packet losses. Because of the limited bandwidth of the channels, such random packet losses could occur between the plant and controller. The random packet loss is assumed to obey the Bernoulli random binary distribution. In the presence of random packet losses, a piecewise controller is designed to stabilize the networked system in the sense of mean square based on piecewise-quadratic Lyapunov functions. It is shown that controllers can also be designed by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. An examples is provided to illustrate the usefulness and applicability of the developed theoretical results.