Global stabilization of inherently non-linear systems using continuously differentiable controllers

DOI10.1007/s11071-014-1336-yzbMath1314.93046OpenAlexW2002222261MaRDI QIDQ2346247

Weisong Tian, Chunjiang Qian, Shihua Li, Chuanlin Zhang

Publication date: 1 June 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1336-y

zbMATH Keywords

homogeneous systemsmooth controlnon-linear systemgeneralized homogeneous theory

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linearizations (93B18) Adaptive or robust stabilization (93D21)

Related Items (8)

Robust control for a class of nonlinear systems with unknown measurement drifts ⋮ A generalized active disturbance rejection control method for nonlinear uncertain systems subject to additive disturbance ⋮ Global sampled-data stabilization for a class of nonlinear systems with arbitrarily long input delays via a multi-rate control algorithm ⋮ A new approach to fast global finite-time stabilization of high-order nonlinear system ⋮ Global stabilization of high-order nonlinear systems under multi-rate sampled-data control ⋮ Global output feedback stabilisation of stochastic high-order feedforward nonlinear systems with time-delay ⋮ Adaptive stabilization for a class of uncertain \(p\)-normal nonlinear systems via a generalized homogeneous domination technique ⋮ Generalized homogeneous systems with applications to nonlinear control: a survey

Cites Work

• Unnamed Item
• Nonlinear normal modes in homogeneous system with time delays
• Application of joint coordinates and homogeneous transformations to modeling of vehicle dynamics
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Nonlinear control systems.
• Finite-time stabilization and stabilizability of a class of controllable systems
• New results and examples in nonlinear feedback stabilization
• Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems
• Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems
• Finite time integral sliding mode control of hypersonic vehicles
• Decentralized Systems with Design Constraints
• Asymptotic Stabilization of a Class of Smooth Two-Dimensional Systems
• A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback
• Homogeneous Domination and the Decentralized Control Problem for Nonlinear System Stabilization
• Finite Time Controllers
• Continuous finite-time stabilization of the translational and rotational double integrators
• A continuous feedback approach to global strong stabilization of nonlinear systems
• Robust nonlinear control design. State-space and Lyapunov techniques

This page was built for publication: Global stabilization of inherently non-linear systems using continuously differentiable controllers