Control of pendulum tracking (including swinging up) of IPC system using zeroing-gradient method
From MaRDI portal
Publication:1681071
DOI10.1007/s11071-017-3432-2zbMath1374.93314OpenAlexW2594605113MaRDI QIDQ1681071
Bolin Liao, Binbin Qiu, Zhi Yang, Yu-Nong Zhang
Publication date: 17 November 2017
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-017-3432-2
tracking controlswing-up controlinverted-pendulum-on-a-cart (IPC) systemsingularity conqueringzeroing-gradient controller
Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control of mechanical systems (70Q05)
Related Items (10)
Modelling and analysis of haemoglobin catalytic reaction kinetic system ⋮ Tracking control of ship course system using new six-step zead (Zhang et al discretization) formula with high precision ⋮ Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations ⋮ Robust adaptive finite-time attitude tracking control of a 3D pendulum with external disturbance: numerical simulations and hardware experiments ⋮ General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition ⋮ Distributed fault detection and isolation for leader-follower multi-agent systems with disturbances using observer techniques ⋮ Finite-time synchronization of delayed fractional-order quaternion-valued memristor-based neural networks ⋮ Design and analysis of robust nonlinear neural dynamics for solving dynamic nonlinear equation within finite time ⋮ Discrete-time formulation, control, solution and verification of pendulum systems with zeroing neural dynamics ⋮ Effects of coupling strength and network topology on signal detection in small-world neuronal networks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics and control of a multi-body planar pendulum
- Nonlinear analysis on purely mechanical stabilization of a wheeled inverted pendulum on a slope
- Output feedback stabilization of the inverted pendulum system: a Lyapunov approach
- On exponential convergence of nonlinear gradient dynamics system with application to square root finding
- Adaptive backstepping control of wheeled inverted pendulums models
- Finite-time stabilization and synchronization of complex dynamical networks with nonidentical nodes of different dimensions
- Different Zhang functions leading to different Zhang-dynamics models illustrated via time-varying reciprocal solving
- Decoupled fuzzy controller design with single-input fuzzy logic
- Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations
- Controlling the inverted pendulum by means of a nested saturation function
- Response of quasi-integrable Hamiltonian systems with delayed feedback bang-bang control
- Z-type control of populations for Lotka-Volterra model with exponential convergence
- Global stabilization of an inverted pendulum-control strategy and experimental verification
- Nonlinear control systems: An introduction
- Optimal bounded control of first-passage failure of quasi-integrable Hamiltonian systems with wide-band random excitation
- Time-varying square roots finding via Zhang dynamics versus gradient dynamics and the former's link and new explanation to Newton-Raphson iteration
- Modified projective synchronization of fractional-order chaotic systems via active sliding mode control
- Stochastic Hopf bifurcation of quasi-integrable Hamiltonian systems with multi-time-delayed feedback control and wide-band noise excitations
- Improved gradient-based neural networks for online solution of Lyapunov matrix equation
- Swinging up a pendulum by energy control
- Stochastic stability of quasi-partially integrable and non-resonant Hamiltonian systems under parametric excitations of combined Gaussian and Poisson white noises
- Stability and Hopf bifurcation in an inverted pendulum with delayed feedback control
- Finite-time synchronization of complex networks with nonidentical discontinuous nodes
- Lyapunov-based controller for the inverted pendulum cart system
- Recurrent implicit dynamics for online matrix inversion
- Online adaptive optimal control for continuous-time nonlinear systems with completely unknown dynamics
- GD-aided IOL (input–output linearisation) controller for handling affine-form nonlinear system with loose condition on relative degree
- On the backstepping design procedure for multiple input nonlinear systems
- Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form
- Zhang Functions and Various Models
- Zeroing Dynamics, Gradient Dynamics, and Newton Iterations
- Robust fixed-lag smoother for linear systems including outliers in the system and observation noises
- Singularity-conquering ZG controllers of z2g1 type for tracking control of the IPC system
- Adding integrations, saturated controls, and stabilization for feedforward systems
- Numerical Methods for Ordinary Differential Equations
- An optimal nonlinear feedback control strategy for randomly excited structural systems
- Almost global stabilization of the inverted pendulum via continuous state feedback
- Recurrent neural networks for nonlinear output regulation
This page was built for publication: Control of pendulum tracking (including swinging up) of IPC system using zeroing-gradient method