Sensor-network-based distributed stabilization of nonlinear large-scale systems with energy constraints and random sensor faults

Abstract This paper is concerned with the sensor-network-based distributed stabilization of nonlinear large-scale systems with energy constraints and random sensor faults. Due to the limited power in sensors, techniques such as reduction of times and size of the transmission packet are utilized to save the energy. As for the sensor failure phenomenon, a set of binary variables is introduced to model it. Based on the switched system theory, the Lyapunov stability technique and some stochastic system analysis, a sufficient condition is established under which the closed-loop system is exponentially stable in the mean-square sense and achieves a prescribed H ∞ disturbance attenuation level. The controller gain design algorithm is presented by using the cone complementarity linearization (CCL) method. A numerical example is finally given to show the effectiveness of the proposed design.