طراحي رويتگر مد لغزشي مرتبه بالاتر براي سيستم‌هاي غيرخطي ليپشيتز

In the process of designing control systems, accurate estimation of state variables, especially in nonlinear systems, holds particular importance. Due to the complexity of nonlinear system behavior compared to linear systems, the development of precise, robust, an‎d efficient observers has always been a fundamental an‎d challenging topic in the field of control. One effective approach to address these challenges is the use of robust structures such as higher-order sliding mode observers (HOSMO). In this research, the design an‎d analysis of a higher-order sliding mode observer for a specific class of nonlinear systems possessing the Lipschitz property is investigated. This structure is proposed with the aim of mitigating the adverse effects of measurement noise, improving state estimation accuracy, an‎d enhancing the stability of the estimation process in the presence of internal disturbances. By utilizing higher-order derivatives of the output in the observer design, the proposed method significantly reduces the chattering phenomenon commonly observed in classical sliding mode observers an‎d improves the dynamic behavior of estimation in higher-order systems. To eva‎luate the performance of the proposed method, theoretical analyses based on Lyapunov functions were conducted to guarantee convergence an‎d stability, an‎d numerical simulations comparing its performance with methods such as the high-gain observer were presented. The results demonstrate that the higher-order sliding mode observer provides smoother, more robust, an‎d more accurate estimations against noise an‎d disturbances compared to conventional methods, making it a promising option for practical applications an‎d robust control systems.

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