Linear matrix inequalities (LMIs) have recently emerged as useful tools for solving a number of control problems. This book provides an up-to-date account of the LMI method and covers topics such as recent LMI algorithms, analysis and synthesis issues, nonconvex problems, and applications. It also emphasizes applications of the method to areas other than control. The basic idea of the LMI method in control is to approximate a given control problem via an optimization problem with linear objective and so-called LMI constraints. The LMI method leads to an efficient numerical solution and is...

Introduces several approaches for solving flow control and optimization problems through the use of modern methods.

Control Perspectives on Numerical Algorithms and Matrix Problems organizes the analysis and design of iterative numerical methods from a control perspective. The authors discuss a variety of applications, including iterative methods for linear and nonlinear systems of equations, neural networks for linear and quadratic programming problems, support vector machines, integration and shooting methods for ordinary differential equations, matrix preconditioning, matrix stability, and polynomial zero finding. This book opens up a new field of interdisciplinary research that should lead to insights...

This book provides a comprehensive treatment of the nonlinear output regulation problem. It contains up-to-date research results and algorithms and tools for approaching and solving this and other related problems. Output regulation is a general mathematical formulation of many control problems encountered in daily life, including cruise control of automobiles, landing and takeoff of aircraft, manipulation of robot arms, orbiting of satellites, and speed regulation of motors. In addition to the previously obtained results on the output regulation problem is the newly developed general...

Based on the results of over 10 years of research and development by the authors, this book presents a broad cross section of dynamic programming (DP) techniques applied to the optimization of dynamical systems. The intention of the research effort was to develop a robust path planning/trajectory optimization tool that did not require an initial guess, partially met with a combination of DP and homotopy algorithms. DP algorithms are presented here with a theoretical development, and their successful application to a variety of practical engineering problems is emphasized. The organization of...

H-infinity control originated from an effort to codify classical control methods, where one shapes frequency response functions for linear systems to meet certain objectives. H-infinity control underwent tremendous development in the 1980s and made considerable strides toward systematizing classical control. This book addresses the next major issue of how this extends to nonlinear systems. At the core of nonlinear control theory lie two partial differential equations (PDEs). One is a first-order evolution equation called the information state equation, which constitutes the dynamics of the...

Designed to meet the needs of a wide audience without sacrificing mathematical depth and rigour, Adaptive Control Tutorial presents the design, analysis, and application of a wide variety of algorithms that can be used to manage dynamical systems with unknown parameters. Its tutorial-style presentation of the fundamental techniques and algorithms in adaptive control make it suitable as a textbook. Adaptive Control Tutorial is designed to serve the needs of three distinct groups of readers: engineers and students interested in learning how to design, simulate, and implement parameter...

A practical, entry-level text integrating the basic principles of applied mathematics and probability, and computational science.

A discussion of analysis and design techniques for linear feedback control systems using MATLAB(r) software. By reducing the mathematics, increasing MATLAB working examples, and inserting short scripts and plots within the text, the authors have created a text suitable for almost any type of user. Suitable for beginners entering the field; for students who wish to bridge the gap between control theory and the use of MATLAB for control systems; and as a handy reference for practising engineers. The MATLAB companion package, CtrlLAB, allows readers to learn quickly while simply clicking through...

The efficiency and reliability of manufactured products depend on, among other things, geometrical aspects; it is therefore not surprising that optimal shape design problems have attracted the interest of applied mathematicians and engineers. This self-contained, elementary introduction to the mathematical and computational aspects of sizing and shape optimization enables readers to gain a firm understanding of the theoretical and practical aspects so they may confidently enter this field.