Abstract
Over the past decades, substantial progress has been made in fault detection and diagnosis (FDD) and fault tolerant control (FTC) research. Recently, some attention has been paid to the integrated design of fault estimation (FE) and active FTC in a two-stage manner: estimation first and then compensation. Different from the preceding two-stage work, this paper deals with the joint design problem of FE and active FTC in an attempt to resolve them simultaneously. The joint design is accomplished by borrowing the H2, H∞, and mixed H2/H∞ concepts in the robust control field to quantitatively evaluate the fault tolerant performance. Necessary and sufficient conditions for the existence of a joint solution are formulated in the linear matrix inequality (LMI) language. A numerical tutorial example is used to illustrate the effectiveness of the proposed method.
Highlights
Fault detection and diagnosis (FDD) and fault tolerant control (FTC) are two closely interrelated subjects in the context of accommodating a variety of faults in industrial systems
Researchers got used to address FDD and FTC isolatedly in earlier active FTC research, since it was often assumed that the FDD task has been perfectly accomplished
In order to avoid a confusion with the preceding twostage integrated design, we introduce the concept of the “joint” design problem to indicate that fault estimation (FE) and active FTC are resolved simultaneously
Summary
Fault detection and diagnosis (FDD) and fault tolerant control (FTC) are two closely interrelated subjects in the context of accommodating a variety of faults in industrial systems. Sami and Patton (2013) addressed actuator and sensor FE and DOF active FTC for Takagi-Sugeno continuous-time systems in an integrated manner. In the meantime, Shi and Patton (2014) studied for LPV descriptor systems the integrated issue of proportional derivative extended state (system states and sensor and actuator faults) estimation and active FTC at two steps. In these pioneering investigations, FE and active FTC are carried out not simultaneously but separately in a twostage way: estimation first and compensation.
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