Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh
DOI10.1007/s11071-018-4230-1zbMath1398.34045OpenAlexW2740637855MaRDI QIDQ1798857
Vitaliy Fedonyuk, Phanindra Tallapragada
Publication date: 23 October 2018
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-018-4230-1
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Automated systems (robots, etc.) in control theory (93C85) Control problems involving ordinary differential equations (34H05) Nonholonomic systems related to the dynamics of a system of particles (70F25)
Related Items (12)
Cites Work
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- Dynamics of the Chaplygin sleigh on a cylinder
- The Jacobi integral in nonholonomic mechanics
- On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original
- Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems
- Reduced equations for nonholonomic mechanical systems with dissipative forces
- A frequency method for predicting limit cycle bifurcations
- An inhomogeneous Chaplygin sleigh
- The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
- Sinusoidal control and limit cycle analysis of the dissipative Chaplygin sleigh
- Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
- Regular and chaotic motions of a Chaplygin sleigh under periodic pulsed torque impacts
- Analysis of underactuated dynamic locomotion systems using perturbation expansion: the twistcar toy example
- Steering for a class of dynamic nonholonomic systems
- Der Schlitten
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