Finite-time stabilisation of simple mechanical systems using continuous feedback

DOI10.1080/00207179.2014.974675zbMath1316.93096OpenAlexW2013311760MaRDI QIDQ5266171

Jan Bohn, Amit K. Sanyal

Publication date: 30 July 2015

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

Full work available at URL: https://doi.org/10.1080/00207179.2014.974675

zbMATH Keywords

continuous feedbackfinite-time stabilizationsimple mechanical systems

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Control of mechanical systems (70Q05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Local-homogeneity-based global continuous control for mechanical systems with constrained inputs: finite-time and exponential stabilisation ⋮ Finite-time stable tracking control for an underactuated system in SE(3) in discrete time ⋮ Global finite-time attitude tracking via quaternion feedback ⋮ Observer-less output-feedback global continuous control for the finite-time and exponential stabilization of mechanical systems with constrained inputs ⋮ Discrete-time data-driven control with Hölder-continuous real-time learning ⋮ A more exhaustive study on the finite‐time and exponential tracking continuous control for constrained‐input mechanical systems: Improved design and experiments ⋮ Output‐feedback finite‐time and exponential tracking continuous control for mechanical systems with constrained inputs ⋮ A generalised proportional-derivative type scheme with multiple saturating structure for the finite-time and exponential tracking continuous control of Euler–Lagrange systems with bounded inputs ⋮ Further advancements on the output-feedback global continuous control for the finite-time and exponential stabilisation of bounded-input mechanical systems: desired conservative-force compensation and experiments

Cites Work

• Attitude stabilization of rigid spacecraft with finite-time convergence
• Continuous finite-time stabilization of the translational and rotational double integrators
• Universal single-input-single-output (SISO) sliding-mode controllers with finite-time convergence
• Adaptive nonlinear design with controller-identifier separation and swapping
• Finite-Time Stability of Continuous Autonomous Systems
• Nonsmooth finite-time control of uncertain second-order nonlinear systems

This page was built for publication: Finite-time stabilisation of simple mechanical systems using continuous feedback