Design of Homogeneous Time-Varying Stabilizing Control Laws for Driftless Controllable Systems Via Oscillatory Approximation of Lie Brackets in Closed Loop
From MaRDI portal
Publication:4943710
DOI10.1137/S0363012997315427zbMath0938.93055OpenAlexW2180591078MaRDI QIDQ4943710
Pascal Morin, Claude Samson, Jean-Baptiste Pomet
Publication date: 19 March 2000
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0363012997315427
Related Items (21)
Trajectory Tracking for Nonholonomic Vehicles ⋮ Partial stability analysis of nonlinear nonstationary systems via averaging ⋮ Formation Shape Control Based on Distance Measurements Using Lie Bracket Approximations ⋮ Stability and stabilization of linear periodic systems: a commutator calculus approach ⋮ Extremum Seeking Control for a Class of Nonholonomic Systems ⋮ Model Predictive Control, Cost Controllability, and Homogeneity ⋮ Application of commutator calculus to the study of linear impulsive systems ⋮ Stabilization algorithm for periodic affine systems ⋮ On the transversality of functions at the core of the transverse function approach to control ⋮ Lie- and chronologico-algebraic tools for studying stability of time-varying systems ⋮ On the existence of local smooth repulsive stabilizing feedbacks in dimension three ⋮ Constructions of strict Lyapunov functions for discrete time and hybrid time-varying systems ⋮ Robust finite-time stabilisation of an arbitrary-order nonholonomic system in chained form ⋮ ISS-like properties in Lie-bracket approximations and application to extremum seeking ⋮ Extended Jacobian inverse kinematics algorithm for nonholonomic mobile robots ⋮ Asymptotic methods in the stability analysis of parametrized homogeneous flows ⋮ Necessary conditions for feedback stabilization and safety ⋮ On controllability and trajectory tracking of a kinematic vehicle model ⋮ Exponential stabilization of nonlinear driftless systems with robustness to unmodeled dynamics ⋮ A duality principle for homogeneous vectorfields with applications. ⋮ Chained form approximation of a driftless system. Application to the exponential stabilization of the general N-trailer system
This page was built for publication: Design of Homogeneous Time-Varying Stabilizing Control Laws for Driftless Controllable Systems Via Oscillatory Approximation of Lie Brackets in Closed Loop