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| Content Provider | Springer Nature Link |
|---|---|
| Author | Aghababa, Mohammad Pourmahmood |
| Copyright Year | 2013 |
| Abstract | This paper introduces a finite-time control technique for control of a class of non-autonomous fractional-order nonlinear systems in the presence of system uncertainties and external noises. It is known that finite-time control methods demonstrate better robustness and disturbance rejection properties. Moreover, finite time control methods have optimal settling time. In order to design a robust finite-time controller, a new nonsingular terminal sliding manifold is proposed. The proposed sliding mode dynamics has the property of fast convergence to zero. Afterwards, a novel fractional sliding mode control law is introduced to guarantee the occurrence of the sliding motion in finite time. The convergence times of both reaching and sliding phases are estimated. The main characteristics of the proposed fractional sliding mode technique are (1) finite-time convergence to the origin; (2) the use of only one control input; (3) robustness against system uncertainties and external noises; and (4) the ability of control of non-autonomous fractional-order systems. At the end of this paper, some computer simulations are included to highlight the applicability and efficacy of the proposed fractional control method. |
| Starting Page | 679 |
| Ending Page | 688 |
| Page Count | 10 |
| File Format | |
| ISSN | 0924090X |
| Journal | Nonlinear Dynamics |
| Volume Number | 73 |
| Issue Number | 1-2 |
| e-ISSN | 1573269X |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2013-02-12 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Nonsingular terminal sliding mode Finite-time control Lyapunov theorem Fractional calculus Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering |
| Content Type | Text |
| Resource Type | Article |
| Subject | Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering |
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