scholarly journals Robust Coordinated Formation for Multiple Surface Vessels Based on Backstepping Sliding Mode Control

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Mingyu Fu ◽  
Jianfang Jiao ◽  
Shen Yin
Keyword(s):  
Sliding Mode Control ◽  
Formation Control ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Tracking Error ◽  
Cross Coupling ◽  
External Disturbances ◽  
Surface Vessels ◽  
Backstepping Sliding Mode Control ◽  
Coupling Error

We investigate the problem of coordinated formation control for multiple surface vessels in the presence of unknown external disturbances. In order to realize the leaderless coordinated formation and achieve the robustness against unknown external disturbances, a new robust coordinated formation control algorithm based on backstepping sliding mode control is proposed. The proposed coordinated control algorithm is achieved by defining a new switched function using the combination of position tracking error and cross-coupling error. Particularly, the cross-coupling error is defined using velocity tracking error and velocity synchronization error so as to be applicable for sliding mode controller design. Furthermore, the adaptive control law is proposed to estimate unknown disturbances for each vessel. The globally asymptotically stability is proved using the Lyapunov direct method. Finally, the effectiveness of the proposed coordinated formation control algorithm is demonstrated by corresponding simulations.

scholarly journals Integral Sliding Mode Based Finite-Time Tracking Control for Underactuated Surface Vessels with External Disturbances

2021 ◽  
Vol 9 (11) ◽  
pp. 1204
Author(s):  
Yunfei Xiao ◽  
Yuan Feng ◽  
Tao Liu ◽  
Xiuping Yu ◽  
Xianfeng Wang
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Tracking Control ◽  
Sliding Mode ◽  
Tracking Error ◽  
External Disturbances ◽  
Mode Control ◽  
Surface Vessels ◽  
Attitude Tracking ◽  
Underactuated Surface Vessels

This study focuses on the problem of finite-time tracking control for underactuated surface vessels (USVs) through sliding-mode control algorithms with external disturbances. Considering the nonexistence of relative degree caused by the underactuated property, the initial tracking error system is firstly transformed to a high order system for the possibility of applying a sliding-mode control algorithm. Subsequently, a finite-time controller based on an integral sliding surface (ISMS) is designed to achieve trajectory tracking. With the aid of this controller, the tracking errors converge to a steady state in a finite time. In contrast to the backstepping-based approach, the proposed method makes it possible to integrate controller design of position tracking and attitude tracking in one step, thus ensuring simplicity for implementation. Finally, theoretical analysis and numerical simulations are conducted to confirm the effectiveness of the proposed method.

Design of adaptive fuzzy backstepping sliding mode control for MIMO uncertain discrete-time nonlinear systems based on noisy measurements

2016 ◽  
Vol 24 (2) ◽  
pp. 393-406 ◽  
Author(s):  
Toshio Yoshimura
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Weighted Least Squares ◽  
Tracking Error ◽  
Design Parameters ◽  
Adaptive Fuzzy ◽  
Mode Control ◽  
Backstepping Sliding Mode Control

This paper presents an adaptive fuzzy backstepping sliding mode control for multi-input and multi-output uncertain nonlinear systems in semi-strict feedback form. The systems are described by a discrete-time state equation with uncertainties viewed as the modeling errors and the unknown external disturbances, and the observation of the states is taken with independent measurement noises. Combining the adaptive fuzzy backstepping control with the sliding mode control approach for the comprehensive improvement in the stability and the robustness, the adaptive fuzzy backstepping sliding mode control is approximately designed where the design parameters are selected using an appropriate Lyapunov function. The uncertainities are approximated as fuzzy logic systems using the fuzzy inference approach based on the extended single input rule modules to reduce the number of the fuzzy IF-THEN rules. The estimates for the un-measurable states and the adjustable parameters are taken by the proposed simplified weighted least squares estimator. It is proved that the trajectory of the tracking error and the sliding surface is uniformly ultimately bounded. The effectiveness of the proposed approach is indicated through the simulation experiment of a simple numerical system.

Circular Leader-Follower Formation Control of Quad-Rotor Aerial Vehicles

2013 ◽  
Vol 25 (1) ◽  
pp. 60-71 ◽  
Author(s):  
Mohammad Fadhil Bin Abas ◽  
◽  
Dwi Pebrianti ◽  
Syaril Azrad Md. Ali ◽  
Daisuke Iwakura ◽  
...  
Keyword(s):  
Sliding Mode Control ◽  
Obstacle Avoidance ◽  
Formation Control ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Circular Motion ◽  
Experimental Result ◽  
Distance Error ◽  
Mode Control ◽  
Aerial Vehicles

This paper describes the leader-follower formation control using two different approaches which are the PID leader-follower formation control (PID-LFFC) and Sliding Mode Control leader-follower formation control (SMC-LFFC). The strategy used in this paper is to apply the control algorithm for conducting a circular motion. This task is known to be important since a trajectory is a combination of movement. This movement can be divided into straight or curve lines. Curves lines or circular motion is essential for obstacle avoidance and also for turning movement. The curves lines or circular motion gives lower trajectory distance than only using straight or angled lines. Based on the experimental result, it is seen that the performance of the algorithm is reliable. When using SMC-LFFC over the PID-LFFC, the leader to follower distance error is 30% smaller and has a high 70% occurrence at 0 errors. Additionally, this research is known to be the first conducted in Japan.

scholarly journals The Control Algorithm and Experimentation of Coaxial Rotor Aircraft Trajectory Tracking Based on Backstepping Sliding Mode

Aerospace ◽  
2021 ◽  
Vol 8 (11) ◽  
pp. 337
Author(s):  
Jiulong Xu ◽  
Yongping Hao ◽  
Junjie Wang ◽  
Lun Li
Keyword(s):  
Sliding Mode Control ◽  
Trajectory Tracking ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Model Parameters ◽  
External Interference ◽  
Mode Control ◽  
Coaxial Rotor ◽  
Non Linear ◽  
Backstepping Sliding Mode Control

In view of the uncertainty of model parameters, the influence of external disturbances and sensor noise on the flight of coaxial rotor aircraft during autonomous flight, a robust backstepping sliding mode control algorithm for the position and attitude feedback control system is studied to solve the trajectory tracking problem of an aircraft in the case of unknown external interference. In this study, a non-linear dynamic model based on a disturbed coaxial rotor aircraft was established for an unknown flight. Then, a non-linear robust backstepping sliding mode controller was designed, which was divided into two sub-controllers: the attitude controller and the position controller of the coaxial rotor aircraft. In the controller, virtual control was introduced to construct the Lyapunov function to ensure the stability of each subsystem. The effectiveness of the proposed controller was verified through numerical simulation. Finally, the effectiveness of the backstepping sliding mode control algorithm was verified by flight experiments.

scholarly journals Adaptive Neural Backstepping Sliding Mode Heading Control for Underactuated Ships with Drift Angle and Ship-Bank Interaction

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Xue Han
Keyword(s):  
Neural Network ◽  
Sliding Mode Control ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Adaptive Backstepping ◽  
Unknown Parameters ◽  
Sea State ◽  
Environmental Disturbances ◽  
Mode Control ◽  
Backstepping Sliding Mode Control

In order to track the desired path under unknown parameters and environmental disturbances, an adaptive backstepping sliding mode control algorithm with a neural estimator is proposed for underactuated ships considering both ship-bank interaction effect and shift angle. Using the features of radial basis function neural network, which can approximate arbitrary function, the unknown parameters of the ship model and environmental disturbances are estimated. The trajectory tracking errors include stabilizing sway and surge velocities errors. Based on the Lyapunov stability theory, the tracking error will converge to zero and the system is asymptotically stable. The controlled trajectory is contractive and asymptotically tends to the desired position and attitude. The results show that compared with the basic sliding mode control algorithm, the overshoot of the adaptive backstepping sliding mode control with neural estimator is smaller and the regulation time of the system is shorter. The ship can adjust itself and quickly reach its desired position under disturbances. This shows that the designed RBF neural network observer can track both the mild level 3 sea state and the bad level 5 sea state, although the wave disturbance has relatively fast time-varying disturbance. The algorithm has good tracking performance and can realize the accurate estimation of wave disturbance, especially in bad sea conditions.

scholarly journals Adaptive Synchronization Control of Multiple Vessels with Switching Communication Topologies and Time Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Fuguang Ding ◽  
Yanqin Ma ◽  
Yuanwei Zhou ◽  
Jiangjun Li
Keyword(s):  
Communication Network ◽  
Time Delay ◽  
Control Algorithm ◽  
Sliding Mode ◽  
Tracking Error ◽  
Movement Control ◽  
Adaptive Synchronization ◽  
Synchronization Control ◽  
External Disturbances ◽  
Varying Time Delay

Recently, synchronization movement control of multiple vessels has been studied broadly. In most of the studies, the communication network among vessels is considered to be fixed and the time delay is often ignored. However, the communication network among vessels maybe vary because of switching of different tasks, and the time delay is necessary to be considered when the communication network is unreliable. In this paper, the synchronization movement of multiple vessels with switching connected communication topologies is studied, and an adaptive synchronization control algorithm that is based on backstepping sliding mode control is proposed. The control algorithm is achieved by defining cross coupling error which is combination of the trajectory tracking error and velocity tracking error. And an adaptive control term is used to estimate the external disturbances, so that the unknown external disturbances can be compensated. Furthermore, the robustness of the control law to time-varying time delay is also discussed. At last, some simulations are carried out to validate the effectiveness of the proposed synchronization control algorithm.

scholarly journals Enhanced Nonlinear Robust Control for TCSC in Power System

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Chao Zhang ◽  
Xing Wang ◽  
Zhengfeng Ming ◽  
Zhuang Cai
Keyword(s):  
Adaptive Control ◽  
Time Delay ◽  
Robust Control ◽  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Uncertain Parameter ◽  
Adaptive Backstepping ◽  
External Disturbances ◽  
Backstepping Sliding Mode Control

This paper proposes an enhanced robust control method, which is for thyristor controlled series compensator (TCSC) in presences of time-delay nonlinearity, uncertain parameter, and external disturbances. Unlike conventional adaptive control methods, the uncertain parameter is estimated by using system immersion and manifold invariant (I&I) adaptive control. Thus, the oscillation of states caused by the coupling between parameter estimator and system states can be avoided. In addition, in order to overcome the influences of time-delay nonlinearity and external disturbances, backstepping sliding mode control is adopted to design control law recursively. Furthermore, robustness of TCSC control subsystem is achievable provided that dissipation inequality is satisfied in each step. Effectiveness and efficiencies of the proposed control method are verified by simulations. Compared with adaptive backstepping sliding mode control and adaptive backstepping control, the time of reaching steady state is shortened by at least 11% and the oscillation amplitudes of transient responses are reduced by at most 50%.

scholarly journals Sliding Mode Control of Flexible Articulated Manipulator Based on Robust Observer

2022 ◽  
Vol 2022 ◽  
pp. 1-10
Author(s):  
Yanghua Gao ◽  
Hailiang Lu
Keyword(s):  
Sliding Mode Control ◽  
Control Algorithm ◽  
Exponential Convergence ◽  
Sliding Mode ◽  
State Variables ◽  
External Disturbances ◽  
Convergence Conditions ◽  
Load Variations ◽  
Robust Observer ◽  
Mode Control

In this paper, a robust observer-based sliding mode control algorithm is proposed to address the modelling and measurement inaccuracies, load variations, and external disturbances of flexible articulated manipulators. Firstly, a sliding mode observer was designed with exponential convergence to observe system state accurately and to overcome the measuring difficulty of the state variables, unmeasurable quantities, and external disturbances. Next, a robust sliding mode controller was developed based on the observer, such that the output error of the system converges to zero in finite time. In this way, the whole system achieves asymptotic stability. Finally, the convergence conditions of the observer were theoretically analyzed to verify the convergence of the proposed algorithm, and simulation was carried out to confirm the effectiveness of the proposed method.

Based on Adjacent Cross-Coupling of Multi-Motor Synchronous Drive

2011 ◽  
Vol 201-203 ◽  
pp. 1093-1097 ◽  
Author(s):  
Peng Zhang ◽  
Jian Hua Zhang ◽  
Dong Sheng He ◽  
Ben Zhang
Keyword(s):  
Convergence Rate ◽  
Invariance Principle ◽  
Sliding Mode ◽  
Tracking Error ◽  
Cross Coupling ◽  
Synchronization Error ◽  
Mode Theory ◽  
Simulation Results ◽  
Synchronous Drive ◽  
Coupling Error

In this study, a new multi-motor synchronous based on adjacent coupling error and sliding mode theory is designed, the tracking error and synchronization error convergence which are proved very well by Lyapunoy theory and LaSalle's Invariance Principle, Simulation results of the synchronized system shows that the synchronization controller can effectively achieve the synchronization with a quick convergence rate and good robustness.

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