Straight-Line Tracking Control of an Agricultural Vehicle with Finite-Time Control Technique

2015 ◽  
Vol 17 (6) ◽  
pp. 2218-2228 ◽  
Author(s):  
Yuexia Jiang ◽  
Shihong Ding ◽  
Dean Zhao ◽  
Wei Ji
Keyword(s):  
Finite Time ◽  
Tracking Control ◽  
Control Technique ◽  
Time Control ◽  
Straight Line ◽  
Line Tracking ◽  
Agricultural Vehicle

scholarly journals Finite-Time Tracking Control for Nonstrict-Feedback State-Delayed Nonlinear Systems with Full-State Constraints and Unmodeled Dynamics

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Yangang Yao ◽  
Jieqing Tan ◽  
Jian Wu
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Tracking Control ◽  
State Constraints ◽  
Unmodeled Dynamics ◽  
Time Varying ◽  
Cubic Form ◽  
Time Control ◽  
Full State ◽  
Full State Constraints

The problem of finite-time tracking control is discussed for a class of uncertain nonstrict-feedback time-varying state delay nonlinear systems with full-state constraints and unmodeled dynamics. Different from traditional finite-control methods, a C 1 smooth finite-time adaptive control framework is introduced by employing a smooth switch between the fractional and cubic form state feedback, so that the desired fast finite-time control performance can be guaranteed. By constructing appropriate Lyapunov-Krasovskii functionals, the uncertain terms produced by time-varying state delays are compensated for and unmodeled dynamics is coped with by introducing a dynamical signal. In order to avoid the inherent problem of “complexity of explosion” in the backstepping-design process, the DSC technology with a novel nonlinear filter is introduced to simplify the structure of the controller. Furthermore, the results show that all the internal error signals are driven to converge into small regions in a finite time, and the full-state constraints are not violated. Simulation results verify the effectiveness of the proposed method.

Adaptive Finite-Time Synchronization of Non-Autonomous Chaotic Systems With Uncertainty

2012 ◽  
Vol 8 (3) ◽  
Author(s):  
Mohammad Pourmahmood Aghababa ◽  
Hasan Pourmahmood Aghababa
Keyword(s):  
Finite Time ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
The State ◽  
Control Technique ◽  
Model Uncertainties ◽  
Unknown Parameters ◽  
External Disturbances ◽  
Time Control ◽  
Engineering Sciences

Due to its useful applications in real world processes, synchronization of chaotic systems has attracted the attention of many researchers of mathematics, physics and engineering sciences. In practical situations, many chaotic systems are inevitably disturbed by model uncertainties and external disturbances. Furthermore, in practice, it is hard to determine the precise values of the chaotic systems’ parameters in advance. Besides, from a practical point of view, it is more desirable to achieve synchronization in a given finite time. In this paper, we investigate the problem of finite-time chaos synchronization between two different chaotic systems in the presence of model uncertainties, external disturbances and unknown parameters. Both autonomous and non-autonomous chaotic systems are taken into account. To tackle the unknown parameters, appropriate adaptation laws are proposed. Using the adaptation laws and finite-time control technique, an adaptive robust finite-time controller is designed to guarantee that the state trajectories slave system converge to the state trajectories of the master system in a given finite time. Some numerical simulations are presented to verify the robustness and usefulness of the proposed finite-time control technique.

Disturbance observer and finite-time tracker design of disturbed third-order nonholonomic systems using terminal sliding mode

2016 ◽  
Vol 23 (2) ◽  
pp. 181-189 ◽  
Author(s):  
Saleh Mobayen ◽  
Shamsi Javadi
Keyword(s):  
Finite Time ◽  
Tracking Control ◽  
Disturbance Observer ◽  
Sliding Mode ◽  
Approximation Error ◽  
Nonholonomic Systems ◽  
Control Technique ◽  
Third Order ◽  
Terminal Sliding Mode ◽  
Finite Time Convergence

This paper proposes a novel recursive terminal sliding mode structure for tracking control of third-order chained–form nonholonomic systems in the presence of the unknown external disturbances. Finite-time convergence of the disturbance approximation error is guaranteed using the designed disturbance observer. Under the proposed terminal sliding model tracking control technique, the finite-time convergence of the states of the closed-loop system is guaranteed via Lyapunov analysis. A new reaching control law is proposed to guarantee the existence of the sliding mode around the recursive TSM surface in a finite-time. Simulation results are illustrated on a benchmark example of third-order chained-form nonholonomic systems: a wheeled mobile robot. The results demonstrate that the proposed control technique achieves promising tracking performance for nonholonomic systems.

scholarly journals Nonlinear Voltage Regulation Algorithm for DC-DC Boost Converter with Finite-Time Convergence

2019 ◽  
Vol 2019 ◽  
pp. 1-5 ◽  
Author(s):  
Chun Duan ◽  
Di Wu
Keyword(s):  
Finite Time ◽  
Control Algorithm ◽  
State Space Model ◽  
Voltage Regulation ◽  
Boost Converter ◽  
Control Technique ◽  
Robust Performance ◽  
Finite Time Convergence ◽  
Time Control ◽  
Time Simulation

For the DC-DC Boost converter system, this paper employs the finite-time control technique to design a new nonlinear fast voltage regulation control algorithm. Compared with the existing algorithm, the main advantage of the proposed algorithm lies in the fact that it can offer a fast convergent rate, i.e., finite-time convergence. Based on the average state space model of Boost converter system and finite-time control theory, rigorous stability analysis showed that the output voltage converges to the reference voltage in a finite time. Simulation results demonstrate the efficiency of the proposed method. Compared with PI control algorithm, it is shown that the proposed algorithm has a faster regulation performance and stronger robust performance on load-variation.

Adaptive finite-time consensus for multiple mechanical systems with unknown backlash nonlinearity and uncertain dynamics

2020 ◽  
pp. 014233122095296
Author(s):  
Jiabo Ren ◽  
Baofang Wang ◽  
Mingjie Cai
Keyword(s):  
Finite Time ◽  
External Disturbance ◽  
Mechanical Systems ◽  
Small Region ◽  
Control Technique ◽  
Position Errors ◽  
Time Control ◽  
Uncertain Dynamics ◽  
Adaptive Laws ◽  
Backlash Nonlinearity

This paper studies the problem of finite-time consensus (FTC) for uncertain multiple mechanical systems with unknown backlash nonlinearity and external disturbance. Combining finite-time control technique and graph theory, a distributed adaptive FTC protocol is proposed. Radial basis function neural networks are employed to approximate the unknown functions. If the designed parameters of control algorithms and adaptive laws are appropriately chosen, then it can be proved that the position errors between arbitrary two mechanical systems will converge to a small region of zero in finite time as well as the velocity errors. Finally, the effectiveness of the proposed control scheme is verified by numerical simulation.

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