Abstract-In this paper, a novel discrete-time estimator is proposed, which is employed for simultaneous estimation of system states, and actuator/sensor faults in a discrete-time dynamic system. The existence of the discrete-time simultaneous estimator is mathematically proved. The systematic design procedure for the derivative and proportional observer gains is addressed, enabling the estimation error dynamics to be internally proper and stable, and robust against the effects from the process disturbances, measurement noises and faults. On the basis of the estimated fault signals and system states, a discretetime fault-tolerant design approach is addressed, by which the system may recover the system performance when actuator/sensor faults occur. Finally, the proposed integrated discrete-time fault estimation and fault-tolerant control technique is applied to the vehicle lateral dynamics with real data, which demonstrates the effectiveness of the developed techniques.
Index Terms-Discrete-time systems, fault estimation, fault tolerant control, robustness, vehicle lateral dynamics
I. INTRODUCTIONNGINEERING systems are usually safety-critical systems, as any faults in actuators, sensors and processes may lead to system performance degradation, system breakdown, economic loss, and even disastrous situations. Therefore, the reliability plays a crucial role in the system design and operation. The evident solution to the reliability is to add the redundancy of the system. Except for the hardware redundancy in some key components, information redundancy has gained more and more attention in both academic community and industries for the last four decades owing to the convenience for implementation and significant saving in the cost. The fruitful theoretic results produced by a variety of fault diagnosis methods such as model-based methods [1][2][3][4][5], signal based methods [6][7][8] and data-driven methods [9][10][11], and their applications in wind energy systems, robotic manipulators, power electronics, motor drive, power quality, Manuscript received June 21, 2014; revised November 6, 2014; accepted December 15, 2014. Copyright © 2014 IEEE. Personal use of this material is permitted. However, permission to use this material for any other purposes must be obtained from the IEEE by sending a request to pubs-permission@ieee,org.Z. Gao is with the Faculty of Engineering and Environment, University of Northumbria at Newcastle, Newcastle upon Tyne, NE1 8ST, UK (+441912437832; e-mail: zhiwei.gao@northumbria.ac.uk).vehicles and so forth [12][13][14][15][16][17], have been reported in the above mentioned references and the references therein. It is noted that all the above approaches can be unified within a framework from the viewpoint of data processing [18].Generally, there are three tasks for fault diagnosis, that is, fault detection, fault isolation and fault identification. Fault detection is to find a fault at the very early stage and trigger an alarm. Fault isolation is to find out which component is being subjec...