Integrated Fault Diagnosis and Control Design of Linear Complex Systems
2: Department of Electrical Engineering, Qatar University, Doha, Qatar
3: Department of Electrical and Computer Engineering, Concordia Institute of Aerospace Design and Innovation, Montreal, QC, Canada
As control systems become more complex and are expected to perform tasks in unknown and extreme environments, they may be subject to various types of faults in their sensors, actuators or other components. It is crucial to be able to diagnose the occurrence of faults and to repair them in order to maintain, guarantee, and improve the overall safety, reliability, and performance of the systems. This book addresses the design challenges of developing and implementing novel integrated fault diagnosis and control technologies for complex linear systems. Integrated Fault Diagnosis and Control Design of Linear Complex Systems considers linear time-invariant (LTI) systems under both time- and event-triggered frameworks. The book initially develops novel methodologies for the problem of integrated fault diagnosis and control of LTI systems to address current design challenges. The results obtained are then extended to a number of complex linear systems, specifically to Markovian jump systems as well as to cooperative multi-agent systems.
Inspec keywords: control system synthesis; stochastic systems; networked control systems; large-scale systems; fault diagnosis; linear systems; multi-agent systems
Other keywords: linear Markovian jump systems; LTI systems; simultaneous fault diagnosis and control; SFDC schemes; linear complex systems; networked control systems; linear time-invariant systems; integrated fault diagnosis and control design; design methodologies; linear multiagent systems
Subjects: General and management topics; Distributed parameter control systems; Time-varying control systems; Linear control systems; Control system analysis and synthesis methods; Multivariable control systems
- Book DOI: 10.1049/PBCE121E
- Chapter DOI: 10.1049/PBCE121E
- ISBN: 9781785617058
- e-ISBN: 9781785617065
- Page count: 230
- Format: PDF
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Front Matter
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1 Introduction
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Associated with the increasing demands for higher system performance and enhanced product quality on one hand and improved cost efficiency on the other hand, complexity and automation levels of engineering processes are continuously growing. These trends and challenges call for development of stringent system safety and reliability requirements. In order to achieve this goal, systems should have the capability to detect and isolate the occurrence of possible faults and at the same time reconfigure their control algorithms to compensate for these anomalies. However, in most modern control systems that are equipped with fault detection capabilities, it is highly desirable to unify and integrate the control and fault detection modules into a single unit. Motivation for this is drawn from the fact that majority of control and detection schemes implement a type of state observer or filter. Hence, it is plausible that an integrated fault detection and control (IFDC) design would lead to a far less overall complexity as compared to a design where the two modules are designed separately. The main objective of this book is to explore the advantages, capabilities, and benefits of developing simultaneous fault diagnosis and control (SFDC) methodologies for complex linear systems.
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2 Integrated fault detection and control design based on dynamic observer
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In this chapter, we briefly review the advantages of employing dynamic observers in the structure of an integrated fault detection and control (IFDC) design problem. A mixed H2/H∞ formulation of the IFDC problem using dynamic observer for linear continuous-time systems is presented. Effectively, a single unit designated as detector/controller is designed where the detector is a dynamic observer and the controller is a state feedback controller based on the dynamic observer.
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3 A single dynamic observer-based module for design of integrated fault detection, isolation, and tracking control scheme
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In this chapter, the problem of integrated fault detection, isolation, and tracking (IFDIT) control is addresses for linear systems subject to both bounded energy and bounded peak disburbances. A dynamic observer is proposed and implemented by using H∞/H_/L1 formulation of the IFDIT problem. A single dynamic observer module is designed that generates the residuals as well as the control signals.
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4 Integrated design of fault detection, isolation, and control for continuous-time Markovian jump systems
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In this chapter, the problem of integrated fault detection, isolation, and control (IFDIC) design of continuous-time Markovian jump linear systems with uncertain transition probabilities and subject to both energy bounded and peak bounded disturbances is introduced and addressed. A single Markovian jump module designated as the IFDIC under a mixed robust H∞/H_/L1 framework is considered to simultaneously achieve the desired detection, isolation, and control objectives. Conventional mixed robust H∞/H_/L1 approaches to the fault detection and isolation (FDI) problem lead to conservative results due to the selection of identical Lyapunov matrices.
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5 Event-triggered multiobjective control and fault diagnosis: a unified framework
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In this chapter, we deal with a new linear matrix inequality (LMI) approach to the problems of event-triggered multiobjective synthesis of feedback controllers and fault diagnosis filters through a unified framework. Toward this end, at first, we define a general problem known as “event-triggered integrated fault detection, isolation and control” (E-IFDIC). By utilizing a filter to represent, characterize, and specify the E-IFDIC module, we develop a multiobjective formulation of the problem based on H∞, H-, l1 and generalized H2 performance criteria. It is shown that when an event-triggered strategy is applied to both the sensor and E-IFDIC module, the amount of data that is sent through the sensor-to-E-IFDIC-module-to-actuator channels are dramatically reduced.
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6 Event-triggered fault estimation and accommodation design for linear systems
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The problem of event-triggered active fault-tolerant control (E-AFTC) of discrete-time linear systems is addressed in this chapter by using an integrated design of event-triggered fault/state estimator with a fault-tolerant controller. An event-triggered observer is proposed which can simultaneously provide an estimate of the system states and faults. Through an event-triggered transmission mechanism, it is shown that the amount of data sent to the observer module is significantly reduced. Moreover, an observer-based fault-tolerant controller based on fault and state estimates is designed.
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7 Integrated fault detection and consensus control design for a network of multiagent systems
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In this chapter, we address the problem of integrated fault detection and consensus control (IFDCC) of linear continuous-time multiagent systems. A mixed H∞/H- formulation of the IFDCC problem is presented and distributed detection filters are designed using only relative output information among the agents. With our proposed methodology, all agents reach either a state consensus (SC) or a model reference consensus (MRC), while the agents simultaneously collaborate with one another to detect the occurrence of faults in the team. Indeed, each agent not only can detect its own fault but also is also capable of detecting its neighbor's faults.
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8 Perspectives and future directions of research
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In this book, our interest has been on design and analysis of integrated fault detection and control (IFDC) strategies for complex linear systems. In order to develop safe and reliable complex systems, fault detection and isolation (FDI) schemes should be employed that are capable of detecting and isolating faults in different parts of these systems. On the other hand, one of the main challenges that one is faced with after detecting and isolating the undesirable anomalies and faults in these systems is to develop fault-tolerant control (FTC) strategies that can ensure and maintain the system stability and performance in presence of external disturbances and faults.
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Back Matter
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