Discrete Sliding Mode Control for a Class of WSN Based IoT with Time-delay and Nonlinear Characteristic

Abstract

This paper applies discrete sliding mode control to the WSN based IoT, to ensure its robust stability under different types of communication time-delay and nonlinear characteristic. Due to the limited sampling frequency, the system will approach a quasi-sliding surface in finite time. Linear matrix inequality (LMI) approach is used to prove the quadratically stability of the sliding surface and suitable Lyapunov function is constructed to obtain the appropriate control law. Two situation will be investigated in this paper, the system with signal time-delay and system with multiple time-delays. Furthermore, nonlinear characteristic of system has been taken into consideration. By employing non-singular transformation and reduced order processing, the proof of sliding surface stability and finite time approaching is simplified. Finally, two numerical simulations are employed to demonstrate the effectiveness and applicability of the proposed approach.