Fault detection and diagnosis in nonlinear systems. A differential and algebraic viewpoint (Q2438802)

Under normal conditions a given process, modeled by a finite-dimensional system of ODEs, is expected to behave in an appropriate way. A fault in the process is a nonallowable deviation from the expected behavior. Such deviations can be detected by comparing a suitable measured output of the running process with the the one we would measure under normal conditions. Hence, a fault in the process mean that the process is subject to some abnormal conditions. In many industrial processes it may be important to detect such abnormal conditions as early and accurately as possible. The content of the book is the following (taken from authors's preface): ``In first two chapters, specially chapters 1 and 2, give a rather intensive and complete study of the fault detection problem using residual generators by considering two types of faults with application to an electromechanical positioning system and a Continuous Stirred Tank Reactor (CSTR). Chapters 3 and 4 are devoted to fault diagnosis problem. We introduce some concepts such as the ``differential transcendence degree'' to attack this problem, as well as we introduce the concept of ``diagnosability condition'' based on algebricity of the fault and we establish some strong results on the minimal number of measurements which are proved using the differential transcendence degree with application to a bioreactor model and a hydraulic system. In chapter 5 is studied a fault detection method to detect the belt breakdown in an experimental belt drive system using a proportional reduced order observer. In chapter 6 is dealt the fault diagnosis problem using the left invertibility condition, trough the concept of differential output rank, the methodology is tested in an experimental implementation of a three-tank system. In chapter 7 is boarded de fault estimation problem using a sliding mode observer and the so called Linear Time-Varying (LTV) differentiators. In chapter 8 is tackled the diagnosis problem for non-differentially flat and Liouvillian systems by using the concepts of differential transcendence degree and Hardy differential field. Finally, chapter~9 is devoted to the diagnosis problem using a polynomial observer to be tested in the experimental setting Amira DTS200 (three-tank system).''