Fractional order sliding mode control (FOSMC) is an advanced control strategy that extends traditional sliding mode control (SMC) by incorporating fractional calculus into the control laws. This enables more flexibility in handling complex and nonlinear systems, such as multi-motor systems during rapid acceleration and deceleration. Here's how the use of fractional order sliding mode control strategies enhances the performance of multi-motor systems in these scenarios:
Improved tracking performance: FOSMC allows for better tracking accuracy of desired trajectories during rapid acceleration and deceleration. The fractional order integral and derivative terms in the control law provide additional degrees of freedom to adapt the controller dynamics to the varying and nonlinear behaviors of the multi-motor system. This leads to reduced tracking errors and smoother control actions.
Enhanced robustness: Multi-motor systems often face uncertainties, external disturbances, and parameter variations during rapid movements. FOSMC exhibits improved robustness compared to traditional integer order control strategies, as it can effectively handle these uncertainties and disturbances due to its fractional order nature. The controller's ability to accommodate fractional derivatives and integrals enables it to deal with complex dynamics and effectively reject disturbances.
Chattering suppression: One of the major drawbacks of integer order sliding mode control is chattering, which refers to high-frequency oscillations around the sliding surface. Chattering can be problematic, especially during rapid acceleration and deceleration, as it can lead to mechanical stress and wear in the motors. FOSMC can significantly reduce chattering due to its smoother nature and the fractional order terms, resulting in more controlled and continuous control actions.
Reduced settling time: FOSMC facilitates faster convergence and reduced settling time in multi-motor systems. The fractional order dynamics allow the controller to respond more promptly to changes in the system, enabling quicker adaptation to new conditions during rapid acceleration and deceleration.
Energy efficiency: By providing more precise and smoother control actions, FOSMC can lead to increased energy efficiency in multi-motor systems. This is particularly important during rapid acceleration and deceleration, where high power demands can occur in traditional control methods. The smoother control actions can help minimize energy losses and improve overall system efficiency.
In summary, the use of fractional order sliding mode control strategies enhances the performance of multi-motor systems during rapid acceleration and deceleration by improving tracking accuracy, enhancing robustness, suppressing chattering, reducing settling time, and promoting energy efficiency. These advantages make FOSMC a promising control technique for complex and high-performance multi-motor systems.