An <inline-formula> <tex-math notation="TeX">${\oldstyle{H_{\infty}}}$ </tex-math></inline-formula> Fault Estimation Scheme of Wireless Networked Control Systems for Industrial Real-Time Applications

Abstract

In this paper, the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> fault estimation (FE) problem is investigated for a class of wireless networked control systems (W-NCSs), where an information scheduler is embedded in. Based on time-division multiple access mechanism, the scheduler is modeled by periodic state-space equations, which can order the information medium access time without collision. The integration approach of the W-NCSs and scheduler is very suitable for the application of W-NCSs on industrial automatic control, since the communication is described as deterministic behavior by scheduler, and consequently the high real-time performance can be essentially guaranteed. Based on the integrated model, the FE algorithm is proposed in terms of solution to a set of Riccati difference equations. Compared with the general state-space model of this algorithm, it is worth mentioning that the solution is developed into solving the model with arbitrary inputs. Then, the performance of fault estimator is verified on a physical experimental platform WiNC integrated with three-tank system, which is formulated into discrete periodic system by multirate sampling. Finally, the effectiveness of the FE algorithm developed in this paper is demonstrated.