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Finite-time Bounded Tracking Control for Fractional-order Systems
2021
IEEE Access
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This article solves the finite-time bounded tracking control problem for fractional-order systems. ...
INDEX TERMS Finite-time bounded tracking, fractional-order systems, error systems, linear matrix inequalities. ...
CONCLUSION This article designs a finite-time bounded tracking controller for a type of fractional-order system. ...
doi:10.1109/access.2021.3049919
fatcat:y6dc2lzigvhsvfsxcbqnejza7e
Adaptive Neural Network Finite-Time Control of Uncertain Fractional-Order Systems with Unknown Dead-Zone Fault via Command Filter
2022
Fractal and Fractional
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In this paper, the adaptive finite-time control problem for fractional-order systems with uncertainties and unknown dead-zone fault was studied by combining a fractional-order command filter, radial basis ...
all signals associated with the closed-loop system are bounded in finite time and that the tracking error can converge to a small neighborhood of origin in finite time. ...
Conclusions The adaptive finite-time tracking control for uncertain fractional-order systems with unknown dead-zone fault was considered in this paper. ...
doi:10.3390/fractalfract6090494
fatcat:fzoazbptifhbll335lkxljax2m
Robust Adaptive Fractional Fast Terminal Sliding Mode Controller for Microgyroscope
2020
Complexity
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In this paper, a robust adaptive fractional fast terminal sliding mode controller is introduced into the microgyroscope for accurate trajectory tracking control. ...
A new fast terminal switching manifold is defined to ensure fast finite convergence of the system states, where a fractional-order differentiation term emerges into terminal sliding surface, which additionally ...
In [45] , a novel discrete time fractional-order sliding control strategy was derived for a linear motor system, which guaranteed the desired tracking performance. ...
doi:10.1155/2020/8542961
fatcat:xsnu2nvdujeovlkxptafh3cfla
Output Feedback Fractional-Order Nonsingular Terminal Sliding Mode Control of Underwater Remotely Operated Vehicles
2014
The Scientific World Journal
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Finally, it is noteworthy that the proposed output feedback FO-NTSMC technique can be used to control a broad range of nonlinear second-order dynamical systems in finite time. ...
Meanwhile, the FO-NTSMC algorithm, based on a new proposed fractional-order switching manifold, is designed to stabilize the tracking error to equilibrium points in finite time. ...
The authors thank the anonymous reviewers for their detailed and valuable comments which strengthened this paper. ...
doi:10.1155/2014/838019
pmid:24983004
pmcid:PMC4058192
fatcat:nryyt3va3rbqfbu6gkb5mk2ade
Prescribed Performance Control of Marine Surface Vessel Trajectory Tracking in Finite-Time with Full-State Constraints and Input Saturation
2021
Journal of Marine Science and Engineering
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Meanwhile, a new finite time performance function is introduced to ensure that the performance of the system tracking error is constrained within the preset constraints in finite time, and the full-state ...
In addition, in view of the uncertainties in the system, a fractional disturbance observer is designed to estimate it. ...
steady-state performance requirements in finite-time. (2) Comparison of tracking effects from different fractional derivatives For (1), we set the fractional order β = 0.7, and this part will continue ...
doi:10.3390/jmse9080866
fatcat:zpgtzm5sqvbs5eisqhpzd3pawq
Adaptive Backstepping Fuzzy Neural Network Fractional-Order Control of Microgyroscope Using a Nonsingular Terminal Sliding Mode Controller
2018
Complexity
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The stability and finite time convergence of the system can be established by the Lyapunov stability theorem. ...
An adaptive fractional-order nonsingular terminal sliding mode controller for a microgyroscope is presented with uncertainties and external disturbances using a fuzzy neural network compensator based on ...
Acknowledgments The authors thank the anonymous reviewers for their useful comments that improved the quality of the paper. This ...
doi:10.1155/2018/5246074
fatcat:weh3fa24ujfuflfvzq4degca44
Finite-time Control Algorithm based on Modal State Observer for Flexible Satellite Attitude Tracking
2020
IEEE Access
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A finite time sliding mode based on the fraction order feedback of MRP is constructed and the finite time controller is proposed. ...
An attitude controller with finite time convergence rate for satellite attitude tracking issue considering the flexible dynamic based on a finite time modal state observer is proposed in this paper. ...
Basically, current finite time controllers are mostly constructed by the fractional order feedback of system state, which means if the design is improper i.e. the singularity issue exists, negative order ...
doi:10.1109/access.2020.3027901
fatcat:oxogu4hkyzhbncdyvcu5p7ebna
Adaptive Smooth Disturbance Observer-Based Fast Finite-Time Adaptive Backstepping Control for Attitude Tracking of a 3-DOF Helicopter
[article]
2021
arXiv
pre-print
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In this paper, a novel adaptive smooth disturbance observer-based fast finite-time adaptive backstepping control scheme is presented for the attitude tracking of the 3-DOF helicopter system subject to ...
In terms of the fast finite-time stability theory, the signals of the closed-loop system are all fast finite-time bounded while the attitude tracking errors can fast converge to a sufficiently small region ...
However, the finite-time tracking for 3-DOF helicopter attitude control is more desirable in practical application.. ...
arXiv:2106.13940v4
fatcat:x6rx4jkg5ndzxk2sq2wlx5i3rq
Theoretical and Applied Contributions to Robust Stability Analysis of Complex Systems
2020
Complexity
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by the application of the Lyapunov stability theory and numerical simulations. e paper "Robust Finite-Time Tracking for Uncertain Linear Systems with Actuator Faults" by X. ...
Peng et al. presents a robust finite-time fault-tolerant control (FTC) scheme for a class of uncertain linear systems in the presence of multiple actuator faults. e adaptive laws were used to compensate ...
time and effort as well as for providing constructive comments to the authors, making this Special Issue viable. ...
doi:10.1155/2020/7083781
fatcat:cfa6rdzr5jh6bo6hloznljfwqq
Model predictive control for offset-free reference tracking of fractional order systems
2018
Control Engineering Practice
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The infinite-history fractional-order system is approximated by a finite-dimensional state-space system and the modeling error is cast as a bounded disturbance term. ...
In this paper an offset-free model predictive control scheme is presented for fractional-order systems using the Gr\"unwald-Letnikov derivative. ...
Fractional-Order Systems
Discrete-time fractional operators In this section a fractional-order differential operator, the Grünwald-Letnikov derivative is introduced. ...
doi:10.1016/j.conengprac.2017.10.010
fatcat:tncf4tgoizcsvbimr5bhzbbrpu
Sliding Mode Disturbance Observer-Based Fractional Second-Order Nonsingular Terminal Sliding Mode Control for PMSM Position Regulation System
2015
Mathematical Problems in Engineering
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A novel fractional second-order nonsingular terminal sliding mode control (F2NTSMC) is proposed and the finite time stability of the closed-loop system is ensured. ...
Moreover, the finite-time convergence of estimation errors can be guaranteed. ...
Consider the fractional-order PMSM system (9) . If the system is controlled by the control input (37), then system states will converge to the sliding surface ( ) = 0 in finite time 1 (18) . Proof. ...
doi:10.1155/2015/370904
fatcat:3b7ky24hujea3cv7smpbhxoqxa
Fault Tolerant Control Using Fractional-order Terminal Sliding Mode Control for Robotic Manipulators
2018
Studies in Informatics and Control
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Mode Control is utilized to achieve fast finite-time convergence, non-singularity and chatter-free control inputs. ...
Firstly, Fractional-order Non-singular Fast Terminal Sliding Mode Control (FONFTSM) is proposed, in which Fractional-order is used to obtain good tracking performance, and Non-singular Fast Terminal Sliding ...
Fractional-order (FO) controller is extensively used to enhance the trajectory tracking and to guarantee the better control performance for both integer-order (IO) and FO systems [8] . ...
doi:10.24846/v27i1y201806
fatcat:kt3nr2coznappb7xshmbj6k57q
New Developments in Sliding Mode Control and Its Applications
2014
Mathematical Problems in Engineering
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"Fractional-order fast terminal sliding mode control for a class of dynamical systems" by G. ...
"Sliding mode cooperative control for multirobot systems: a finite-time approach" by M. Ghasemi and S. G. ...
Acknowledgments We would like to express our sincere appreciation to the authors for their remarkable contributions in assisting us. ...
doi:10.1155/2014/481419
fatcat:6imzei5avzd5vkun5sqll7hry4
Practical Position Tracking Control of a Robotic Manipulator Based on Fractional Order Sliding Mode Controller
2018
Elektronika ir Elektrotechnika
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The experimental outcomes demonstrate that the proposed fractional-order sliding mode control strategy has a better trajectory tracking performance in presence of the external payload for tracking tasks ...
1 Abstract-In this study, the practical position tracking control of a robotic manipulator has been performed using the proposed fractional-order sliding mode control scheme (FO-SMC). ...
The proposed control technique provides fast finite-time convergence of system state variable, strong robustness, and simple structure for implementation without using the information of the upper bounds ...
doi:10.5755/j01.eie.24.5.21838
fatcat:hwk5dp7i2jfwnnpwp5zo26jave
Study on the Nonsingular Problem of Fractional-Order Terminal Sliding Mode Control
2013
Mathematical Problems in Engineering
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The proposed controller ensures the finite time stability of the closed-loop system. ...
An improved type of control strategy combining the fractional calculus with nonsingular terminal sliding mode control named non-singular fractional terminal sliding mode control (NFOTSM) is proposed for ...
To show that this happening (exact tracking, = 0) occurs in finite time, we can define a stopping time as follows: = inf { ≥ : ( ) = 0} , (22) where is the reaching time, the time for the system states ...
doi:10.1155/2013/523251
fatcat:kohqeomlwzg7dfblcevbygw7xu
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