Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach

Nonlinear Dynamical Systems and Control: A Lyapunov-Based Approach
Wassim M. Haddad | 2008-01-01 00:00:00 | Princeton University Press | 976 | Control Theory
Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems.

Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
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Linear Control Theory: Structure, Robustness, and Optimization

Linear Control Theory: Structure, Robustness, and Optimization
Aniruddha Datta, Lee H. Keel, Shankar P. Bhattacharyya | 2009-01-01 00:00:00 | CRC | 924 | Control Theory
Linear Control Theory: Structure, Robustness, and Optimization (Control Engineering)
By Aniruddha Datta, Lee H. Keel, Shankar P. Bhattacharyya


* Publisher: CRC
* Number Of Pages: 924
* Publication Date: 2009-01-30
* ISBN-10 / ASIN: 0849340632
* ISBN-13 / EAN: 9780849340635



Product Description:

Successfully classroom-tested at the graduate level, Linear Control Theory: Structure, Robustness, and Optimization covers three major areas of control engineering (PID control, robust control, and optimal control). It provides balanced coverage of elegant mathematical theory and useful engineering-oriented results.


The first part of the book develops results relating to the design of PID and first-order controllers for continuous and discrete-time linear systems with possible delays. The second section deals with the robust stability and performance of systems under parametric and unstructured uncertainty. This section describes several elegant and sharp results, such as Kharitonov’s theorem and its extensions, the edge theorem, and the mapping theorem. Focusing on the optimal control of linear systems, the third part discusses the standard theories of the linear quadratic regulator, Hinfinity and l1 optimal control, and associated results.


Written by recognized leaders in the field, this book explains how control theory can be applied to the design of real-world systems. It shows that the techniques of three term controllers, along with the results on robust and optimal control, are invaluable to developing and solving research problems in many areas of engineering.
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