Solving Fault Diagnosis Problems

Solving Fault Diagnosis Problems

The goal of this new edition is the same as for the first edition ”to address the fault detection and isolation topics from a computational perspective“, by covering the same important aspects, namely, (1) providing a completely general theoretical treatment of fault and model detection problems for linear time-invariant systems; (2) presenting the best suited numerical approaches to solve the specific computational problems; (3) providing supporting software to solve the analysis and filter synthesis problems. In this second edition, the changes in the theoretical presentation are minor and all known errors and typos have been corrected. The major difference to the first edition is in the underlying computational support, which is now based on software developed in a relatively new language called Julia. The presentation of synthesis procedures and examples is similar to the first edition, but it is now interlaced with Julia codes which can be used to reproduce all computational examples and figures presented in the book. An Appendix has been added to cover some basic issues related to using Julia and the new FaultDetectionTools and DescriptorSystems packages.

Solving Fault Diagnosis Problems

Solving Fault Diagnosis Problems

This book addresses fault detection and isolation topics from a computational perspective. Unlike most existing literature, it bridges the gap between the existing well-developed theoretical results and the realm of reliable computational synthesis procedures. The model-based approach to fault detection and diagnosis has been the subject of ongoing research for the past few decades. While the theoretical aspects of fault diagnosis on the basis of linear models are well understood, most of the computational methods proposed for the synthesis of fault detection and isolation filters are not satisfactory from a numerical standpoint. Several features make this book unique in the fault detection literature: Solution of standard synthesis problems in the most general setting, for both continuous- and discrete-time systems, regardless of whether they are proper or not; consequently, the proposed synthesis procedures can solve a specific problem whenever a solution exists Emphasis on the best numerical algorithms to solve the synthesis problems for linear systems in generalized state-space form (also known as descriptor systems) Development of general synthesis procedures relying on new computational paradigms, such as factorization-based design based on filter updating techniques and nullspace-based synthesis Availability of a comprehensive set of free accompanying software tools for descriptor systems, which allows readers to easily implement all synthesis procedures presented in the book and ensures that all results are reproducible This book is primarily intended for researchers and advanced graduate students in the areas of fault diagnosis and fault-tolerant control. It will also appeal to mathematicians with an interest in control-oriented numerics.