There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

With the continuous increase in complexity and expense of industrial systems, there is less tolerance for performance degradation, productivity decrease, and safety hazards, which greatly necessitates to detect and identify any kinds of potential abnormalities and faults as early as possible and implement real-time fault-tolerant operation for minimizing performance degradation and avoiding dangerous situations. During the last four decades, fruitful results have been reported about fault diagnosis and fault-tolerant control methods and their applications in a variety of engineering systems. The three-part survey paper aims to give a comprehensive review of real-time fault diagnosis and fault-tolerant control, with particular attention on the results reported in the last decade. In this paper, fault diagnosis approaches and their applications are comprehensively reviewed from model- and signal-based perspectives, respectively.

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A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches

In this paper, the iterative learning control (ILC) literature published between 1998 and 2004 is categorized and discussed, extending the earlier reviews presented by two of the authors. The papers includes a general introduction to ILC and a technical description of the methodology. The selected results are reviewed, and the ILC literature is categorized into subcategories within the broader division of application-focused and theory-focused results.

Iterative Learning Control: Brief Survey and Categorization

The current decade sees a considerable growth in worldwide container transportation and with it an indispensable need for optimization. Also the interest in and availability of academic literatures as well as case reports are almost exploding. With this paper an earlier survey which proved to be of utmost importance for the community is updated and extended to provide the current state of the art in container terminal operations and operations research.

Operations research at container terminals: a literature update

Formation and control of optimal trajectory in human multijoint arm movement : minimum torque-change model

In this note, robust stabilization and tracking performance of operator based nonlinear feedback control systems are studied by using robust right coprime factorization. Specifically, a new condition of robust right coprime factorization of nonlinear systems with unknown bounded perturbations is derived. Using the new condition, a broader class of nonlinear plants can be controlled robustly. When the spaces of the nonlinear plant output and the reference input are different, a space change filter is designed, and in this case this note considers tracking controller design using the exponential iteration theorem.

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Operator-based nonlinear feedback control design using robust right coprime factorization

1 Introduction 1 1.1 Definition of nonlinear systems 1 1.2 Nonlinear systems dynamics analysis and control 1 1.3 Why operator-based nonlinear control system? 2 1.4 An overview of the book 2 1.5 Acknowledgments 3 2 Robust right coprime factorization for nonlinear plants with uncertainties 5 2.1 Preliminaries 5 2.2 Operator theory 11 3 Robust stability of operator-based nonlinear control systems 27 3.1 Concept of operator based robust stability 27 3.2 Design methods of nonlinear systems with uncertainties 27 3.3 Operator-based robust anti-windup nonlinear feedback control systems design 38 3.4 Operator-based multi-input and multi-output(MIMO) nonlinear feedback control systems design 58 3.5 Operator-based time-varying delayed nonlinear feedback control systems design 110 4 Tracking issues and fault detection issues in nonlinear control systems 121 4.1 Operator-based tracking compensator in nonlinear feedback control systems design 121 4.2 Robust control for nonlinear systems with unknown perturbations using simplified robust right co-prime factorization 128 4.3 Operator-based actuator fault detection methods 146 4.4 Operator-based input command fault detection method in nonlinear feedback control systems 159 5 Operator based nonlinear control systems with smart actuators 177 5.1 Operator-based robust nonlinear feedback control systems design for non-symmetric backlash 177 5.2 Operator-based robust nonlinear feedback control systems design for symmetric and non-symmetric hysteresis 190 5.3 Operator-based nonlinear feedback systems application for smart actuators 203 6 Nonlinear feedback control to large scale systems using a distributed control system (DCS) device 247 6.1 Introduction 247 6.2 Multi-tank process modelling 249 6.3 Robust right coprime factorization design and controller realization254 6.4 Experimental results 260 6.5 Summary 264 References 267

Operator-Based Nonlinear Control Systems: Design and Applications

Deals with the design problem of a parallel feedforward compensator which virtually realizes an almost strictly positive real (ASPR) plant It is well-known that several output feedback based control techniques can easily be applied to the plants having ASPR characteristics Unfortunately, most real plants do not satisfy this condition To improve such a situation, the implementation of a parallel feedforward compensator (PFC) which causes a non-ASPR plant to become virtually ASPR has been discussed Here, a simple and systematic method of composing such a PFC, which can be applied to a broader class of SISO plants, is considered The effectiveness of the result obtained is examined by applying them to an example of simple adaptive control >

A parallel feedforward compensator virtually realizing almost strictly positive real plant

The nonlinear system design problem is investigated concerning with robust stability and output tracking problems for nonlinear perturbed feedback control systems using operator-based robust right coprime factorization and isomorphism. First, a compensator is designed to factorize a nonlinear perturbed plant using isomorphism, then the right factorization of the plants can be realized. Further, by guaranteeing an output tracking property, the existence of two stable controllers is proved so that a Bezout identity for the right factorization of the plant can be satisfied. Meanwhile, the robust stability can be guaranteed by the two controllers. Therefore, the right factorization is exactly to be a robust right coprime factorization. That is, by the proposed design scheme, the robust right coprime factorization is realized and the plant output can also track to the reference input. A numerical example is given to show the effectiveness of the proposed design scheme.

System Design for Nonlinear Plants Using Operator-Based Robust Right Coprime Factorization and Isomorphism

This article considers networked non-linear control for an aluminum plate thermal process. This is done by using operator-based robust right coprime factorisation approach and Bezout identity to guarantee robust stable networked control system, as well as an operator-based tracking controller to ensure the controlled process output tracking the desired reference input. An experimental result is given for the case of temperature control of the aluminum plate thermal process.

Mingcong Deng

Papers

Operator-based nonlinear feedback control design using robust right coprime factorization

Operator-Based Nonlinear Control Systems: Design and Applications

A parallel feedforward compensator virtually realizing almost strictly positive real plant

System Design for Nonlinear Plants Using Operator-Based Robust Right Coprime Factorization and Isomorphism

Networked non-linear control for an aluminum plate thermal process with time-delays