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Home > Art, Film & Photography > Nonlinear Control: Sliding Mode Control, Backstepping, Feedback Linearization, Singular Perturbation, Nonlinear Control, Strict-Feedback Form
Nonlinear Control: Sliding Mode Control, Backstepping, Feedback Linearization, Singular Perturbation, Nonlinear Control, Strict-Feedback Form

Nonlinear Control: Sliding Mode Control, Backstepping, Feedback Linearization, Singular Perturbation, Nonlinear Control, Strict-Feedback Form


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About the Book

Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Sliding Mode Control, Backstepping, Feedback Linearization, Singular Perturbation, Nonlinear Control, Strict-Feedback Form, Describing Function, Variable Structure Control, Variable Structure System, Circle Criterion, Lyapunov Redesign, Small-Gain Theorem, Gain Scheduling, Phase Plane Method, Aizerman's Conjecture, Small Control Property, Feedback Passivation. Excerpt: In nonlinear control, Aizerman's conjecture states that a nonlinear system with a sector nonlinearity would be stable if the linear system is stable. This conjecture was proven false but led to the (valid) circle criterion and Popov criterion. References (URLs online) A hyperlinked version of this chapter is at In control theory, backstepping is a technique developed circa 1990 by Petar V. Kokotovic and others for designing stabilizing controls for a special class of nonlinear dynamical systems . These systems are built from subsystems that radiate out from an irreducible subsystem that can be stabilized using some other method. Because of this recursive structure, the designer can start the design process at the known-stable system and "back out" new controllers that progressively stabilize each outer subsystem. The process terminates when the final external control is reached. Hence, this process is known as backstepping. The backstepping approach provides a recursive method for stabilizing the origin of a system in strict-feedback form . That is, consider a system of the form where Also assume that the subsystem is stabilized to the origin (i.e., ) by some known control such that . It is also assumed that a Lyapunov function V x for this stable subsystem is known. That is, this subsystem is stabilized by some other method and backstepping extends its stability to the shell around it. In systems of this stric...


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Product Details
  • ISBN-13: 9781155568836
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 68
  • Spine Width: 4 mm
  • Weight: 113 gr
  • ISBN-10: 1155568834
  • Publisher Date: 05 May 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Sliding Mode Control, Backstepping, Feedback Linearization, Singular Perturbation, Nonlinear Control, Strict-Feedback Form
  • Width: 229 mm


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