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The experimental results also demonstrate that the proposed scheme provides better performance than a discrete-time sliding mode control method with controller switching method.

Secondly, according to the sliding mode control method, a controller is designed to achieve the consensus tracking problem when the followers are described by the fractional-order linear dynamics.

Then robust optimal position and attitude controllers are designed by using an integral sliding mode control method to combine a second order sliding mode controller with the derived inverse optimal controller or optimal Lyapunov controller.

Sliding mode control method was used to build the ideal braking torque controller, which control objective is to control the actual wheel slip ratio of front and rear wheels tracking the ideal wheel slip ratio.

To radically eliminate the influence of coupling torque caused by gyroscopic effects on system stability and precision and to improve the high precision performance of the low speed gimbal servo system in a double gimbal control moment gyro (DGCMG), this paper proposes a novel composite controller design method combining state feedback linearization and adaptive sliding mode control method.

In addition, sliding mode control method is also proposed for AC/DC converters with CPLs.

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(2) The flight controller is designed with Proportional Integral Derivative (PID) Control and Sliding Mode Control methods to obtain optimum operations.

Sliding mode control methods have been used widely since they provide robustness against parameter variations and disturbances.

A comparison between the EID-based control, the conventional disturbance observer, the disturbance-observer-based-control, and the sliding mode control methods demonstrates the validity and superiority of the EID-based control method.

In the proposed study, PI control method and sliding mode control methods are combined to obtain a Proportional Integral Sliding Mode Control (PISMC) and it is used to control the buck boost converter which is used to drive the electrical loads from solar energy.

In order to ensure recursive feasibility of the switching MOMPC and stability of the resulted closed-loop system, the dual-mode control method is used to design the switching MOMPC controller.

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