Intelligent Control of Networked Flow Production Subject to Input Delay and Parameter Perturbation

The flow production, which combines several manufacturing units and operates the periodic tasks, can be modelled as periodic piecewise linear systems. Based on it, the non-fragile control of networked periodic piecewise linear systems under input delay and parameter perturbation, is studied in this paper. The exponential stabilization conditions under input delay are proposed via Lyapunov-Krasovskii functional and free weighting matrices, which reduce the conservativeness of conditions. Furthermore, controller gain perturbation, and asynchronous switching due to input delay, are first investigated jointly for periodic piecewise linear systems. The non-fragile stabilizing controllers are designed for additive and multiplicative perturbation of controller gains, respectively. The controller gains can be obtained by iterative linear matrix inequality (ILMI) approach. Numerical examples are given to verify the proposed methods.