Trajectory tracking for a particle in elliptical billiards

DOI10.1080/00207170701487789zbMath1152.93381OpenAlexW2065870424MaRDI QIDQ3542959

Alessandro Potini, Sergio Galeani, Antonio Tornambe, Laura Menini

Publication date: 1 December 2008

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170701487789

Mathematics Subject Classification ID

Feedback control (93B52) Robot dynamics and control of rigid bodies (70E60)

Related Items (9)

Trajectory tracking of a bouncing ball in a triangular billiard by unfolding and folding the billiard table ⋮ Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial ⋮ Analysis of collocated feedback controllers for four-bar planar mechanisms with joint clearances ⋮ An embedding approach for the design of state-feedback tracking controllers for references with jumps ⋮ Distance function design and Lyapunov techniques for the stability of hybrid trajectories ⋮ Passivity-based control for hybrid systems with applications to mechanical systems exhibiting impacts ⋮ Passivity-based switching control of flexible-joint complementarity mechanical systems ⋮ Geometric tools for solving the FDI problem for linear periodic discrete-time systems ⋮ Deformations for linear periodic discrete-time systems: the adjoint normal form

Uses Software

• SeDuMi

Cites Work

• Modeling, stability and control of biped robots --- a general framework
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• The complementarity class of hybrid dynamical systems
• Elliptical billiards and hyperelliptic functions
• Conditions of Cayley’s type for ellipsoidal billiard
• On the control of finite-dimensional mechanical systems with unilateral constraints
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Modeling and control of impact in mechanical systems: theory and experimental results
• On the control of complementary-slackness juggling mechanical systems
• Control of contact problem in constrained Euler-Lagrange systems
• Asymptotic tracking of periodic trajectories for a simple mechanical system subject to nonsmooth impacts
• On periodical trajectories of the billiard systems within an ellipsoid in Rd and generalized Cayley’s condition
• Hybrid zero dynamics of planar biped walkers
• TRACKING CONTROL OF COMPLEMENTARITY LAGRANGIAN SYSTEMS
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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