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  1. Mathematics of Control, Signals, and Systems
  2. Mathematics of Control, Signals, and Systems : Volume 27
  3. Mathematics of Control, Signals, and Systems : Volume 27, Issue 4, December 2015
  4. Local nested transverse feedback linearization
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Mathematics of Control, Signals, and Systems : Volume 29
Mathematics of Control, Signals, and Systems : Volume 28
Mathematics of Control, Signals, and Systems : Volume 27
Mathematics of Control, Signals, and Systems : Volume 27, Issue 4, December 2015
Input-to-state stability of Lur’e systems
On the existence of stabilising feedback controls for real analytic small-time locally controllable systems
Local nested transverse feedback linearization
Static state feedback linearization of nonlinear control systems on homogeneous time scales
Algebraic invariance conditions in the study of approximate (null-)controllability of Markov switch processes
Mathematics of Control, Signals, and Systems : Volume 27, Issue 3, September 2015
Mathematics of Control, Signals, and Systems : Volume 27, Issue 2, June 2015
Mathematics of Control, Signals, and Systems : Volume 27, Issue 1, March 2015
Mathematics of Control, Signals, and Systems : Volume 26
Mathematics of Control, Signals, and Systems : Volume 25
Mathematics of Control, Signals, and Systems : Volume 24
Mathematics of Control, Signals, and Systems : Volume 23
Mathematics of Control, Signals, and Systems : Volume 22
Mathematics of Control, Signals, and Systems : Volume 21
Mathematics of Control, Signals, and Systems : Volume 20
Mathematics of Control, Signals, and Systems : Volume 19
Mathematics of Control, Signals, and Systems : Volume 18
Mathematics of Control, Signals, and Systems : Volume 17
Mathematics of Control, Signals, and Systems : Volume 16
Mathematics of Control, Signals, and Systems : Volume 15
Mathematics of Control, Signals, and Systems : Volume 14
Mathematics of Control, Signals, and Systems : Volume 13
Mathematics of Control, Signals, and Systems : Volume 12
Mathematics of Control, Signals, and Systems : Volume 11
Mathematics of Control, Signals, and Systems : Volume 10

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Local nested transverse feedback linearization

Content Provider SpringerLink
Author Doosthoseini, Alireza Nielsen, Christopher
Copyright Year 2015
Abstract We study two local feedback equivalence problems for a nonlinear control-affine system with two nested, controlled-invariant, embedded submanifolds in its state space. The first, less restrictive, result gives necessary and sufficient conditions for the dynamics of the system restricted to the larger submanifold and transversal to the smaller submanifold to be linear and controllable. This normal form facilitates designing controllers that locally stabilize the smaller set relative to the larger set. The second, more restrictive, result additionally imposes that the transversal dynamics to the larger set be linear and controllable. This result can simplify designing controllers to locally stabilize the larger submanifold. This is illustrated by sufficient conditions under which these normal forms can be used to locally solve a nested set stabilization problem.
Starting Page 493
Ending Page 522
Page Count 30
File Format PDF
ISSN 09324194
Journal Mathematics of Control, Signals, and Systems
Volume Number 27
Issue Number 4
e-ISSN 1435568X
Language English
Publisher Springer London
Publisher Date 2015-08-29
Publisher Place London
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Feedback equivalence Partial feedback linearization Nested sets Nonlinear control systems Systems Theory, Control Control, Robotics, Mechatronics Communications Engineering, Networks
Content Type Text
Resource Type Article
Subject Control and Optimization Applied Mathematics Signal Processing Control and Systems Engineering
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