scholarly journals Dynamic angular velocity turning for extremum seeking control of a two-dimensional mobile robot with external disturbances

2019 ◽  
Vol 16 (3) ◽  
pp. 172988141985132
Author(s):  
Yibin Wang ◽  
Huilin Li ◽  
Xiaoying Sun ◽  
Hua Chen
Keyword(s):  
Angular Velocity ◽  
Mobile Robot ◽  
Finite Time ◽  
Sliding Mode ◽  
Extremum Seeking ◽  
Two Dimensional ◽  
Dynamic Feedback ◽  
External Disturbances ◽  
Extremum Seeking Control ◽  
Time Control

In this article, the extremum seeking control of a two-dimensional mobile robot with external disturbances is discussed by applying dynamic angular velocity turning method. First, the extremum seeking scheme is proposed to describe the trajectory of the two-dimensional robot and to achieve extreme value optimization through dynamic feedback. Secondly, the method of finite-time control and dynamic feedback is proposed to ensure that the dynamic angular velocity converges to the virtual controller within a finite time. Thirdly, the sliding mode disturbance observer is designed to guarantee that the observer converges to an unknown disturbance in finite time. Furthermore, we allow the averaging method and the results are applied in stability analysis. Finally, our control scheme is feasible by a series of simulations.

Angular Velocity Stabilization of a Rigid Body Via VSS Control

2000 ◽  
Vol 122 (4) ◽  
pp. 669-673 ◽  
Author(s):  
T. Floquet ◽  
W. Perruquetti ◽  
J.-P. Barbot
Keyword(s):  
Angular Velocity ◽  
Rigid Body ◽  
Finite Time ◽  
Sliding Mode ◽  
Variable Structure ◽  
External Disturbances ◽  
First Order ◽  
Finite Time Convergence ◽  
Sliding Mode Controllers ◽  
Second Order Sliding Mode

This paper is devoted to the stabilization of the angular velocity of a rigid body via variable structure based controllers. The system is supposed to have only two control torques and to be subject to external disturbances. A finite time convergence is obtained by switching between a first-order and a second-order sliding mode controllers. [S0022-0434(00)00304-X]

scholarly journals RBFNN-Based Singularity-Free Terminal Sliding Mode Control for Uncertain Quadrotor UAVs

2021 ◽  
Vol 2021 ◽  
pp. 1-10 ◽  
Author(s):  
Meiling Tao ◽  
Xiongxiong He ◽  
Shuzong Xie ◽  
Qiang Chen
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Auxiliary Function ◽  
External Disturbances ◽  
Terminal Sliding Mode ◽  
Finite Time Convergence ◽  
Time Control ◽  
Control Scheme ◽  
Unknown Disturbances ◽  
Quadrotor Unmanned Aerial Vehicles

In this article, a singularity-free terminal sliding mode (SFTSM) control scheme based on the radial basis function neural network (RBFNN) is proposed for the quadrotor unmanned aerial vehicles (QUAVs) under the presence of inertia uncertainties and external disturbances. Firstly, a singularity-free terminal sliding mode surface (SFTSMS) is constructed to achieve the finite-time convergence without any piecewise continuous function. Then, the adaptive finite-time control is designed with an auxiliary function to avoid the singularity in the error-related inverse matrix. Moreover, the RBFNN and extended state observer (ESO) are introduced to estimate the unknown disturbances, respectively, such that prior knowledge on system model uncertainties is not required for designing attitude controllers. Finally, the attitude and angular velocity errors are finite-time uniformly ultimately bounded (FTUUB), and numerical simulations illustrated the satisfactory performance of the designed control scheme.

scholarly journals Optimal Adaptive Control and Backstepping Control Method with Sliding Mode Differentiator

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Shengxin Sun ◽  
Yang Zhao ◽  
Hao Wu
Keyword(s):  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Operation Time ◽  
Backstepping Control ◽  
Space Robot ◽  
Robot Arm ◽  
Model Uncertainties ◽  
External Disturbances ◽  
Time Control

In order to improve the success rate of space debris object capture, how to increase the resistance to interference in the space robot arm has become an issue of interest. In addition, since the space operation time is always limited, finite-time control has become another urgent requirement needed to be addressed. Considering external disturbances, two control methods are proposed in this paper to solve the control problem of space robot arm. Firstly, a linear sliding mode control method is proposed considering the model uncertainties and external disturbances. The robot arm can track the desired trajectory, while a trade-off between optimality and robustness of the solved system can be achieved. Then, in order to reduce conservativeness and relax restrictions on external disturbances, a novel backstepping control method based on a finite-time integral sliding mode disturbance observer is developed, which compensates for the effects of both model uncertainties and infinite energy-based disturbance inputs. Finally, simulation examples are given to illustrate the effectiveness of the proposed control method.

Continuous finite-time control for robotic manipulators with terminal sliding mode

Automatica ◽  
2005 ◽  
Vol 41 (11) ◽  
pp. 1957-1964 ◽  
Author(s):  
Shuanghe Yu ◽  
Xinghuo Yu ◽  
Bijan Shirinzadeh ◽  
Zhihong Man
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Robotic Manipulators ◽  
Terminal Sliding Mode ◽  
Time Control

Immersion and invariance adaptive finite-time control of air-breathing hypersonic vehicles

2018 ◽  
Vol 233 (7) ◽  
pp. 2626-2641 ◽  
Author(s):  
Chao Han ◽  
Zhen Liu ◽  
Jianqiang Yi
Keyword(s):  
Control System ◽  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Second Order ◽  
Hypersonic Vehicles ◽  
Terminal Sliding Mode ◽  
Air Breathing ◽  
Immersion And Invariance ◽  
Time Control

In this paper, a novel adaptive finite-time control of air-breathing hypersonic vehicles is proposed. Based on the immersion and invariance theory, an adaptive finite-time control method for general second-order systems is first derived, using nonsingular terminal sliding mode scheme. Then the method is applied to the control system design of a flexible air-breathing vehicle model, whose dynamics can be decoupled into first-order and second-order subsystems by time-scale separation principle. The main features of this hypersonic vehicle control system lie in the design flexibility of the parameter adaptive laws and the rapid convergence to the equilibrium point. Finally, simulations are conducted, which demonstrate that the control system has the features of fast and accurate tracking to command trajectories and strong robustness to parametric and non-parametric uncertainties.

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