The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)

A most critical and important issue surrounding the design of automatic control systems with the successively increasing complexity is guaranteeing a high system performance over a wide operating range and meeting the requirements on system reliability and dependability. As one of the key technologies for the problem solutions, advanced fault detection and identification (FDI) technology is receiving considerable attention. The objective of this book is to introduce basic model-based FDI schemes, advanced analysis and design algorithms and the needed mathematical and control theory tools at a level for graduate students and researchers as well as for engineers.

Model-based Fault Diagnosis Techniques: Design Schemes, Algorithms, and Tools

The basic concepts, mathematics, and design aspects of variable-structure systems as well as those with sliding modes as a principle operation mode are treated. The main arguments in favor of sliding-mode control are order reduction, decoupling design procedure, disturbance rejection, insensitivity to parameter variations, and simple implementation by means of power converters. The control algorithms and data processing used in variable structure systems are analyzed. The potential of sliding mode control methodology is demonstrated for versatility of electric drives and functional goals of control. >

Sliding mode control design principles and applications to electric drives

Linear Optimal Control

This paper is a brief historical review of linear singular systems, followed by a survey of results on their solution and properties. The frequency domain and time domain approaches are discussed together to sketch an overall picture of the current status of the theory.

A survey of linear singular systems

Singular perturbations and order reduction in control theory - An overview

A special coordinate basis for multivariable linear systems is introduced here. Several fundamental properties of linear systems regarding controllability (stabiliza-bility), observability (detectability), invariant zeros, decoupling zeros, infinite zero structure, effect of feedback on zero structure, squaring down, diagonal and triangular decoupling etc. can be directly displayed in terms of the special coordinate basis. Moreover, connections between the special coordinate basis and the important invariant subspaces of the geometric theory of linear systems are established.

Special coordinate basis for multivariable linear systems—finite and infinite zero structure, squaring down and decoupling

From the Publisher:
The issue of tracking a desired reference signal in the presence of external disturbances is a classical control problem that resides at the core of control engineering. This is referred to as the output regulation problem. In this book the output regulation problem is examined in depth. New, highly significant dimensions are added to the problem and all pertinent topics associated with it are discussed. These topics include: 

Analysis and design of controllers for the output regulation problem subject to physical constraints on actuators such as amplitude and rate saturation. Incorporating transient performance requirements into output regulation problem formulation, thus creating an optimal framework for the output regulation problem. Uniting the output regulation problem formulation with other performance requirements of modern control theory such as H2 and Hinfinity optimal and suboptimal performance criteria. Opening up a novel framework of output regulation problem formulation in order to enlarge the class of signals dealt with whilst at the same time adding new possibilities. 

This book is designed to meet the needs of a variety of readers including practising control engineers, graduate students, and researchers in control engineering.

Control of Linear Systems with Regulation and Input Constraints

A number of different fundamental problems in fault detection and fault identification are formulated in this paper. The fundamental problems include exact, almost, generic and class-wise fault detection and identification. Necessary and sufficient conditions for the solvability of the fundamental problems are derived. These conditions are weaker than the ones found in the literature since we do not assume any particular structure for the residual generator. At the end of the paper, a time domain synthesis procedure based on state-space methods to construct appropriate residual generators is given. Copyright © 2000 John Wiley & Sons, Ltd.

Fundamental problems in fault detection and identification

It is shown that the state feedback matrix of a linear system optimal with respect to a quadratic performance index can be expanded in a MacLaurin series in parameters which change the order of the system. The first two terms of this series are employed in a near-optimum design for a high-order plant. The result of the near-optimum design is superior to that achieved by a conventional low-order design, while the amount of computation is considerably less than that required for a high-order design. An example of a second-order design for a fifth-order plant is given.

Peddapullaiah Sannuti

Papers

Singular perturbations and order reduction in control theory - An overview

Special coordinate basis for multivariable linear systems—finite and infinite zero structure, squaring down and decoupling

Control of Linear Systems with Regulation and Input Constraints

Fundamental problems in fault detection and identification

Near-optimum design of linear systems by a singular perturbation method