Download PDF, EPUB, MOBI Nonsmooth Mechanics 1999 : Models, Dynamics and Control
Download PDF, EPUB, MOBI Nonsmooth Mechanics 1999 : Models, Dynamics and Control
Nonsmooth Mechanics 1999 : Models, Dynamics and Control by Bernard Brogliato
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Author: Bernard Brogliato
Page Count: 572 pages
Published Date: 05 Oct 2012
Publisher: Springer London Ltd
Publication Country: England, United Kingdom
Language: English
Type: PDF
ISBN: 9781447111610
File Name: Nonsmooth.Mechanics.1999.Models,.Dynamics.and.Control.pdf
Download Link: Nonsmooth Mechanics 1999 Models, Dynamics and Control
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Thank you for opening the second edition of this monograph, which is devoted to the study of a class of nonsmooth dynamical systems of the general form: ::i; = g(x,u) (0. 1) f(x, t) 2: 0 where x E JRn is the system's state vector, u E JRm is the vector of inputs, and the function f (-, . ) represents a unilateral constraint that is imposed on the state. More precisely, we shall restrict ourselves to a subclass of such systems, namely mechanical systems subject to unilateral constraints on the position, whose dynamical equations may be in a first instance written as: ii= g(q,q,u) (0. 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in- put (or controller) that generally involves a state feedback loop, i. e. u= u(q, q, t, z), with z= Z(z, q, q, t) when the controller is a dynamic state feedback. Mechanical systems composed of rigid bodies interacting fall into this subclass. A general prop- erty of systems as in (0. 1) and (0. 2) is that their solutions are nonsmooth (with respect to time): Nonsmoothness arises primarily from the occurence of impacts (or collisions, or percussions) in the dynamical behaviour, when the trajectories attain the surface f(x, t) = O. They are necessary to keep the trajectories within the subspace = {x : f(x, t) 2: O} of the system's state space.
Read online Nonsmooth Mechanics 1999 : Models, Dynamics and Control Buy and read online Nonsmooth Mechanics 1999 : Models, Dynamics and Control Download Nonsmooth Mechanics 1999 : Models, Dynamics and Control ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Nonsmooth Mechanics 1999 : Models, Dynamics and Control
Nonsmooth Mechanics 1999 : Models, Dynamics and Control by Bernard Brogliato
Author: Bernard Brogliato
Page Count: 572 pages
Published Date: 05 Oct 2012
Publisher: Springer London Ltd
Publication Country: England, United Kingdom
Language: English
Type: PDF
ISBN: 9781447111610
File Name: Nonsmooth.Mechanics.1999.Models,.Dynamics.and.Control.pdf
Download Link: Nonsmooth Mechanics 1999 Models, Dynamics and Control
---------------------------------------------------------------
Thank you for opening the second edition of this monograph, which is devoted to the study of a class of nonsmooth dynamical systems of the general form: ::i; = g(x,u) (0. 1) f(x, t) 2: 0 where x E JRn is the system's state vector, u E JRm is the vector of inputs, and the function f (-, . ) represents a unilateral constraint that is imposed on the state. More precisely, we shall restrict ourselves to a subclass of such systems, namely mechanical systems subject to unilateral constraints on the position, whose dynamical equations may be in a first instance written as: ii= g(q,q,u) (0. 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in- put (or controller) that generally involves a state feedback loop, i. e. u= u(q, q, t, z), with z= Z(z, q, q, t) when the controller is a dynamic state feedback. Mechanical systems composed of rigid bodies interacting fall into this subclass. A general prop- erty of systems as in (0. 1) and (0. 2) is that their solutions are nonsmooth (with respect to time): Nonsmoothness arises primarily from the occurence of impacts (or collisions, or percussions) in the dynamical behaviour, when the trajectories attain the surface f(x, t) = O. They are necessary to keep the trajectories within the subspace = {x : f(x, t) 2: O} of the system's state space.
Read online Nonsmooth Mechanics 1999 : Models, Dynamics and Control Buy and read online Nonsmooth Mechanics 1999 : Models, Dynamics and Control Download Nonsmooth Mechanics 1999 : Models, Dynamics and Control ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Nonsmooth Mechanics 1999 : Models, Dynamics and Control