Theory and Modern Applications
From: A non-integer sliding mode controller to stabilize fractional-order nonlinear systems
Comparison items | The result of this paper | The result in [62] |
---|---|---|
Control methodology | Fractional integral sliding mode control (FISMC) | Fast terminal sliding mode (FTSM) |
Design parameters | Overall, 4n + 2 parameters should be selected | Overall, 6n + 1 parameters should be selected |
Chattering and convergence | The FISMC seems to has a chattering free control procedure and a fast convergence to equilibrium point | The FTSMC seems to has chattering in control procedure and needs a long time for convergence to equilibrium point |
Magnitude of oscillations | Normal range (based on the behavior of the error system) | Out of range (based on the behavior of the error system) |
Conclusions | The advantages of the proposed FISMC: (1) higher robustness; (2) the controller is easier to design and may be more convenient for practical use; (3)Â chattering-free; (4) higher convergence accuracy | The advantages of the FTSM: (1) it has many parameters that may be difficult to use; (2) it is effectively working when the states of the systems are known; (3) it is applicable for the vast area of systems |