Active Fault-Tolerant Control Systems

Increased performance together with safety requirements are the key aspects of modern technological systems, which are met by sophisticated control schemes.

This chapter reviews the current and past status of the progress made in the area of FTC research. Most of the FTC techniques depends on the type of fault occurred into the system, where the FD plays a significant role. So, the chapter starts with classifying the types of faults followed by the discussion on fault diagnosis and the analysis of various FTC schemes.

In this chapter, we introduce basic concepts of the behavioral approach that put the foundation to address active FTC approaches in this book. We shall see here how the behaviors are described for a dynamical system. The elementary properties (for example linearity, time/shift invariance) associated with a dynamical system are discussed taking this behavioral point of view. As we mentioned (very briefly) in the last chapter, the real essence of this approach lies in its representation-free description. However, for the brevity of explanation, we shall often utilize kernel representations. These representations consider the polynomial matrices for describing a system, which are considered more general way of representing dynamical systems since these representations can easily be translated into either external-type or internal-type of representations by Chen (Linear systsem theory and design. Oxford University Press, New York, 1999, [18, Sects. 6–7]), Polderman and Willems (Introduction to mathematical systems theory: a behavioral approach. Springer, Berlin, 1997, [84]). To motivate further use of behavioral framework, we have considered various follow-up examples.

This chapter introduce the benchmark examples that will be used to illustrate the effectiveness of the active fault-tolerant control systems later in the text.

In this chapter, we shall present the solution to the problem of Fault-tolerant Control (FTC) by taking the behavioral system theoretic viewpoint.

In the previous chapter, we presented a novel projection-based approach to solve the active fault-tolerant control problem posed in the Chap. 1.

The prime aim of a fault-tolerant control system is to maintain the system performance, defined in terms of the desired behavior, at anytime, i.e., even after an occurrence of a fault. In previous two chapters, we presented novel real-time controller reconfiguration mechanisms to deal with the aforementioned issue.

In this chapter, we shall demonstrate the applications of approaches on various case-studies.