Tag: Nonsmooth

Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control


Free Download Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control By Boris S. Mordukhovich, Hector J. Sussmann (eds.)
1996 | 246 Pages | ISBN: 1461384915 | PDF | 22 MB
This IMA Volume in Mathematics and its Applications NONSMOOTH ANALYSIS AND GEOMETRIC METHODS IN DETERMINISTIC OPTIMAL CONTROL is based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on "Control Theory. " The purpose of this workshop was to concentrate on powerful mathematical techniques that have been de veloped in deterministic optimal control theory after the basic foundations of the theory (existence theorems, maximum principle, dynamic program ming, sufficiency theorems for sufficiently smooth fields of extremals) were laid out in the 1960s. These advanced techniques make it possible to derive much more detailed information about the structure of solutions than could be obtained in the past, and they support new algorithmic approaches to the calculation of such solutions. We thank Boris S. Mordukhovich and Hector J. Sussmann for organiz ing the workshop and editing the proceedings. We also take this oppor tunity to thank the National Science Foundation and the Army Research Office, whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. v PREFACE This volume contains the proceedings of the workshop on Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control held at the Institute for Mathematics and its Applications on February 8-17, 1993 during a special year devoted to Control Theory and its Applications. The workshop-whose organizing committee consisted of V. J urdjevic, B. S. Mordukhovich, R. T. Rockafellar, and H. J.

(more…)

Adaptive Control of Nonsmooth Dynamic Systems


Free Download Adaptive Control of Nonsmooth Dynamic Systems by Gang Tao, Frank L. Lewis
English | PDF | 2001 | 425 Pages | ISBN : 1852333847 | 32.7 MB
A complete reference to adaptive control of systems with nonsmooth industrial nonlinearities such as: backlash; dead-zones; component failure; friction; hysteresis; saturation; and time delays.

(more…)

Type-2 Fuzzy Logic in Control of Nonsmooth Systems Theoretical Concepts and Applications


Free Download Type-2 Fuzzy Logic in Control of Nonsmooth Systems: Theoretical Concepts and Applications by Oscar Castillo , Luis T. Aguilar
English | EPUB (True) | 2019 | 126 Pages | ISBN : 3030031330 | 4.2 MB
This book presents the synthesis and analysis of fuzzy controllers and its application to a class of mechanical systems. It mainly focuses on the use of type-2 fuzzy controllers to account for disturbances known as hard or nonsmooth nonlinearities. The book, which summarizes the authors’ research on type-2 fuzzy logic and control of mechanical systems, presents models, simulation and experiments towards the control of servomotors with dead-zone and Coulomb friction, and the control of both wheeled mobile robots and a biped robot. Closed-loop systems are analyzed in the framework of smooth and nonsmooth Lyapunov functions.

(more…)

Nonsmooth Mechanics and Analysis Theoretical and Numerical Advances


Free Download Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances by P. Alart, O. Maisonneuve, R. T. Rockafellar
English | PDF(True) | 2006 | 318 Pages | ISBN : 0387291962 | 3.4 MB
This book’s title, Nonsmooth Mechanics and Analysis, refers to a major domain of mechanics, particularly those initiated by the works of Jean Jacques Moreau. Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification.

(more…)

Introduction to Nonsmooth Optimization


Free Download Bagirov, "Introduction to Nonsmooth Optimization"
English | ISBN: 3319081136 | 2014 | 392 pages | EPUB | 8 MB
This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized into three parts:

(more…)