Published May 30, 2023 | Version v1

Sliding Mode Control for a Class of Nonlinear Systems

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We present a unique method in this study for developing sliding mode controllers for a class of nonlinear systems. The suggested approach makes use of the sliding mode control concept to provide reliable stability and tracking performance in the presence of uncertainties and disturbances.

Formulating the sliding mode control problem as an optimization problem, we obtain a set of finding effective solutions using convex optimization methods[1]. The resultant controller ensures that a sliding mode will exist and offers strong stability and tracking performance for a variety of uncertainties and disturbances [2].

The effectiveness of the proposed approach is demonstrated through simulation results on a nonlinear system. Overall, the proposed sliding mode control approach offers a promising direction for designing robust controllers for a simulation result for a variety of nonlinear systems shows how successful suggested technique. Sliding mode control (SMC) is a popular control technique that has been extensively studied due to its ability to provide robust control for uncertain systems. However,

traditional SMC approaches often suffer from chattering, which can lead to undesirable high frequency oscillations in the controlled system. To address this issue, this thesis proposes a novel sliding mode control scheme for a class of nonlinear systems[3]. The proposed approach utilizes to design a controller that ensures the state trajectories of the controlled system converge to a prescribed sliding surface, while also reducing chattering. The proposed SMC scheme is designed to handle a class of nonlinear systems that are represented by a set of differential equations. Specifically, the controller is designed to stabilize the system by forcing its state trajectories to converge to a sliding surface defined by a set of inequalities. The sliding surface is chosen such that the controlled system exhibits desirable transient and steady-state performance[4]. To validate the effectiveness of the proposed approach, simulations are conducted on a nonlinear system with uncertain parameters.

Results show that the proposed SMC scheme outperforms traditional SMC techniques in terms of robustness and chattering reduction. The proposed controller is able to provide robust control for the system in the presence of uncertainties and external disturbances, while also achieving fast convergence to the sliding surface with minimal chattering[5]. The proposed approach has potential applications in various fields, including electrical engineering and automation. The proposed SMC scheme can be used to design robust controllers for a variety of nonlinear systems, such as DC motor control, power electronics, and robotics. Overall, this thesis provides a comprehensive study of the SMC scheme and its potential applications in the field of electrical engineering and automation.

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