Deterministic Control Of Nonlinear Uncertain Systems

Includes sections on: Sliding mode control with switching command devices. Hyperplane design and CAD of variable structure control systems. Variable structure controllers for robots. The hyperstability approach to VSCS design. Nonlinear continuous feedback for robust tracking. Control of uncertain systems with neglected dynamics. Control of infinite dimensional plants.

This monograph presents the fundamentals of global stabilization and optimal control of nonlinear systems with uncertain models. It offers a unified view of deterministic disturbance attenuation, stochastic control, and adaptive control for nonlinear systems. The book addresses researchers in the areas of robust and adaptive nonlinear control, nonlinear H-infinity stochastic control, and other related areas of control and dynamical systems theory.

This eagerly awaited follow-up to Nonlinear Control Systems incorporates recent advances in the design of feedback laws, for the purpose of globally stabilizing nonlinear systems via state or output feedback. The author is one of the most prominent researchers in the field.

This timely work presents the definitive treatment of stability analysis and robust control design for nonlinear uncertain systems. While other books on the subject deal with robust control in linear systems, this is the first book to tackle robust control design for such nonlinear entities as power systems, robotics, and more. It combines examples, proofs, and applications-clearly showing how to build high performance and better control into systems that are too complex to be modeled accurately. A unique feature of this book is its Lyapunov-based approach to control design, which is the only universal approach for nonlinear systems. The Lyapunov direct method is used here to develop all design procedures, to correlate leading techniques in the field to the structural properties of uncertain systems, and to compare robust and nonrobust types of controls such as adaptive control, learning control, and optimal control. The subject is introduced with a self-contained treatment of the nonlinear stability theory originally proposed by Lyapunov and LaSalle. Emphasizing the basics, the introductory chapters incorporate three types of solutions, stability concepts, and various theorems. The main body of the text offers a comprehensive treatment for current design methods, including state space robust control designs, properties of various robust controllers, input-output control, and discrete robust control designs. In Robust Control of Nonlinear Uncertain Systems, author Zhihua Qu presents the complete set of control design procedures for nonlinear uncertain systems, including backward recurisve design, forward recursive design, recursive-interlacing design, feedback linearization, nonlinear optimal control, and sub-optimal control. Also featured here is the breakthrough recursive interlacing design that facilitates robust control for uncertain systems with all cascaded, feedback, and feedforward dynamics. Throughout, Professor Qu presents the pros and cons of specific methods, rationales for choosing particular design parameters,and tips on questions of stability, performance, and systems structure. For engineers and graduate students in mechanical, electrical, and aerospace engineering, Robust Control of Nonlinear Uncertain Systems imparts the technical know-how for effective design, explores key theoretical issues in control, and provides insight into future trends in the field.

This Festschrift contains a collection of articles by friends, co-authors, colleagues, and former Ph.D. students of Keith Glover, Professor of Engineering at the University of Cambridge, on the occasion of his sixtieth birthday. Professor Glover's scientific work spans a wide variety of topics, the main themes being system identification, model reduction and approximation, robust controller synthesis, and control of aircraft and engines. The articles in this volume are a tribute to Professor Glover's seminal work in these areas.

This book discusses various methods for designing different kinds of observers, such as the Luenberger observer, unknown input observers, discontinuous observers, sliding mode observers, observers for impulsive systems, observers for nonlinear Takagi-Sugeno fuzzy systems, and observers for electrical machines. A hydraulic process system and a renewable energy system are provided as examples of applications.

This book contains the proceedings ofthe meeting on "Applied Mathematics in the Aerospace Field," held in Erice, Sicily, Italy from September 3 to September 10, 1991. The occasion of the meeting was the 12th Course of the School of Mathematics "Guido Stampacchia," directed by Professor Franco Giannessi of the University of Pisa. The school is affiliated with the International Center for Scientific Culture "Ettore Majorana," which is directed by Professor Antonino Zichichi of the University of Bologna. The objective of the course was to give a perspective on the state-of the-art and research trends concerning the application of mathematics to aerospace science and engineering. The course was structured with invited lectures and seminars concerning fundamental aspects of differential equa tions, mathematical programming, optimal control, numerical methods, per turbation methods, and variational methods occurring in flight mechanics, astrodynamics, guidance, control, aircraft design, fluid mechanics, rarefied gas dynamics, and solid mechanics. The book includes 20 chapters by 23 contributors from the United States, Germany, and Italy and is intended to be an important reference work on the application of mathematics to the aerospace field. It reflects the belief of the course directors that strong interaction between mathematics and engineering is beneficial, indeed essential, to progresses in both areas.