Piecewise Affine Networked Control Systems

This paper addresses the exponential stability of piecewise affine networked control systems (PWANCS), where a continuous-time piecewise affine (PWA) plant is in feedback with a PWA controller over a communication network. The main contribution of this paper is to propose sufficient Krasovskii-based stability conditions for PWANCS. Furthermore, the problem of finding a lower bound on the maximum network-induced delay that guarantees exponential stability is cast as a convex optimization program in terms of linear matrix inequalities. The network consists of a sample-and-hold device with an unknown and time-varying sampling frequency, and nonideal communication links with data-packet losses and uncertain time-varying communication delays.