The stability of the steady motions and the controllability of a class of non-holonomic mechanical systems under the action of potential and control forces are investigated. A problem of the stability of the steady motion of a three-wheeled vehicle, taking into account the inertia of the wheels, whi
The stability of steady motions of non-holonomic chaplygin systems
โ Scribed by V.I. Kalenova; V.M. Morozov
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 570 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
A stability theorem is established for steady motions of non-holonomic Chaplygin systems, with cyclic coordinates, acted upon by potential and dissipative forces, generalizing a previously proved theorem [ 11. The theorem enables rigorous sufficient conditions for the stability of steady motions of non-holonomic systems to be derived in cases that are more general than those considered hitherto. As an example, the problem of the stability of the steady motions of a one-wheeled carriage is considered.
๐ SIMILAR VOLUMES
Mechanical systems possibly containing non-holonomic constraints are considered. The problem of stabilizing the motion of the system along a given manifold of its phase space is solved. A control law which does not involve the dynamical parameters of the system is constructed. The law is universal,
The approach to the solution of stabilization problems for steady motions of holonomic mechanical systems [ 1,2] based on linear control theory, combined with the theory of critical cases of stability theory, is used to solve the analogous problems for nonholonomic systems. It is assumed that the co