Exquisite disturbance attenuation control for a rotary inverted pendulum

2016 ◽  
Vol 40 (3) ◽  
pp. 812-818 ◽  
Author(s):  
Shuaipeng He ◽  
Chuanlin Zhang ◽  
Ning Yang ◽  
Hui Li
Keyword(s):  
Inverted Pendulum ◽  
Disturbance Attenuation ◽  
Control Performance ◽  
Pendulum System ◽  
Nonlinear Disturbance Observer ◽  
System A ◽  
Inverted Pendulum System ◽  
Nonlinear Disturbance ◽  
Simulation Results ◽  
Rotary Inverted Pendulum

This paper investigates the problem of active disturbance attenuation control for a rotary inverted pendulum system. A nonlinear disturbance observer is first constructed to estimate the lumped disturbances, and then a feedback domination technique is integrated to handle the nonlinearities in a novel step-by-step way. Hence an exquisite composite controller can be constructed with strong robustness while the nominal control performance can be maintained. By utilizing a recursive stability analysis based on a Lyapunov function, the effectiveness of the proposed controller is assured. Numerical simulation results demonstrate the effectiveness of the proposed algorithm.

scholarly journals Terminal Sliding Mode Control of Mobile Wheeled Inverted Pendulum System with Nonlinear Disturbance Observer

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
SongHyok Ri ◽  
Jian Huang ◽  
Yongji Wang ◽  
MyongHo Kim ◽  
Sonchol An
Keyword(s):  
Disturbance Observer ◽  
Inverted Pendulum ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Terminal Sliding Mode ◽  
Pendulum System ◽  
Nonlinear Disturbance Observer ◽  
Inverted Pendulum System ◽  
Wheeled Inverted Pendulum ◽  
Nonlinear Disturbance

A terminal sliding mode controller with nonlinear disturbance observer is investigated to control mobile wheeled inverted pendulum system. In order to eliminate the main drawback of the sliding mode control, “chattering” phenomenon, and for compensation of the model uncertainties and external disturbance, we designed a nonlinear disturbance observer of the mobile wheeled inverted pendulum system. Based on the nonlinear disturbance observer, a terminal sliding mode controller is also proposed. The stability of the closed-loop mobile wheeled inverted pendulum system is proved by Lyapunov theorem. Simulation results show that the terminal sliding mode controller with nonlinear disturbance observer can eliminate the “chattering” phenomenon, improve the control precision, and suppress the effects of external disturbance and model uncertainties effectively.

Discrete-time backstepping control with nonlinear adaptive disturbance attenuation for the inverted-pendulum system

2019 ◽  
pp. 014233121986777
Author(s):  
Fatih Adıgüzel ◽  
Yaprak Yalçın
Keyword(s):  
Discrete Time ◽  
Feedback Linearization ◽  
Inverted Pendulum ◽  
Backstepping Control ◽  
Disturbance Attenuation ◽  
Pendulum System ◽  
Inverted Pendulum System ◽  
Partial Feedback Linearization ◽  
Partial Feedback ◽  
Backstepping Controller

A discrete-time backstepping controller with an active disturbance attenuation property for the Inverted-Pendulum system is constructed in this paper. The main purpose of this study is to show that Immersion and Invariance (I & I) approach can be used to design a nonlinear observer for disturbance estimation and demonstrate its effectiveness considering a nonlinear system with an unstable equilibrium point, namely Inverted-Pendulum system, by utilizing the estimated values in backstepping control design. All designs are directly performed in discrete-time domain to obtain directly implementable observer and controller in discrete processors with superior performance compared to emulators. The Inverted-Pendulum system is not in strict feedback form therefore backstepping procedure cannot be directly applied. In order to enable backstepping construction, firstly a partial feedback linearization is performed and afterwards a novel discrete-time coordinate transformation is proposed. Prior to the construction of partial feedback linearizing and backstepping controller, a nonlinear disturbance estimator design is proposed with Immersion and Invariance approach. The estimated disturbance values used in the partial feedback linearization and construction of the backstepping controller. The global asymptotic stability of the estimator and local asymptotic stability of overall closed loop system are proved in the sense of Lyapunov. Performance of proposed direct discrete-time backstepping control with discrete I & I observer is compared with a backstepping sliding mode controller with another nonlinear disturbance observer (NDO) by simulations.

Synthesized ADRC for One-Level Inverted Pendulum System through Combination of Separating and Assembling

2014 ◽  
Vol 490-491 ◽  
pp. 794-797
Author(s):  
Wen Ping Li ◽  
Li Qiang Wu
Keyword(s):  
Nonlinear System ◽  
Inverted Pendulum ◽  
Dynamical Decoupling ◽  
Pendulum System ◽  
Inverted Pendulum System ◽  
Strong Robustness ◽  
Ideal Study ◽  
Simulation Results ◽  
The One ◽  
The Ideal

Inverted pendulum system is the ideal study object of nonlinear system. The ADRC has good estimate for disturbances, strong robustness and using static decoupling instead of dynamical decoupling. The one-level inverted pendulum system can be regarded as composing of the pendulum angel system and the cart position system. The former is faster and the later is slower. The synthesized ADRC for one-level inverted pendulum system is built through combination of separating and assembling to reduce difficulty in optimizing ADRC parameters of the inverted pendulum system. The synthesized controller is simulated by Matlab under different parameters of the inverted pendulum. Simulation results show that the pendulum angle and the cart position are well controlled.

Sign in / Sign up

Export Citation Format

Share Document