“…Analysis of (12) shows that V out shall be greater than V in , in order to ensure the stable operation of the converter. It is important to note that when a physical converter is initially turned on, its output voltage V out may be less than V in .…”
Section: Proposed Techniquementioning
confidence: 99%
“…The system under SMC becomes invariant to parametric changes and its performance is completely robust against matched disturbances [1][2][3][4]. Due to these properties, SMC finds a wide range of applications in motor control, PWM drives, power electronics, robotics, micro-grids and automotive control [5][6][7][8][9][10][11][12]. Moreover, the complexity of feedback control design is reduced by SMC because it decouples the system into reduced order dynamics [13].…”
The key issue in the implementation of the Sliding Mode Control (SMC) in analogue circuits and power electronic converters is its variable switching frequency. The drifting frequency causes electromagnetic compatibility issues and also adversely affect the efficiency of the converter, because the proper size of the inductor and the capacitor depends upon the switching frequency. Pulse Width Modulation based SMC (PWM-SMC) offers the solution, however, it uses either boundary layer approach or employs pulse width modulation of the ideal equivalent control signal. The first technique compromises the performance within the boundary layer, while the latter may not possess properties like robustness and order reduction due to the absence of the discontinuous function. In this research, a novel approach to fix the switching frequency in SMC is proposed, that employs a low pass filter to extract the equivalent control from the discontinuous function, such that the performance and robustness remains intact. To benchmark the experimental observations, a comparison with existing double integral type PWM-SMC is also presented. The results confirm that an improvement of 20% in the rise time and 25.3% in the settling time is obtained. The voltage sag during step change in load is reduced to 42.86%, indicating the increase in the robustness. The experiments prove the hypothesis that a discontinuous function based fixed frequency SMC performs better in terms of disturbances rejection as compared to its counterpart based solely on ideal equivalent control.
“…Analysis of (12) shows that V out shall be greater than V in , in order to ensure the stable operation of the converter. It is important to note that when a physical converter is initially turned on, its output voltage V out may be less than V in .…”
Section: Proposed Techniquementioning
confidence: 99%
“…The system under SMC becomes invariant to parametric changes and its performance is completely robust against matched disturbances [1][2][3][4]. Due to these properties, SMC finds a wide range of applications in motor control, PWM drives, power electronics, robotics, micro-grids and automotive control [5][6][7][8][9][10][11][12]. Moreover, the complexity of feedback control design is reduced by SMC because it decouples the system into reduced order dynamics [13].…”
The key issue in the implementation of the Sliding Mode Control (SMC) in analogue circuits and power electronic converters is its variable switching frequency. The drifting frequency causes electromagnetic compatibility issues and also adversely affect the efficiency of the converter, because the proper size of the inductor and the capacitor depends upon the switching frequency. Pulse Width Modulation based SMC (PWM-SMC) offers the solution, however, it uses either boundary layer approach or employs pulse width modulation of the ideal equivalent control signal. The first technique compromises the performance within the boundary layer, while the latter may not possess properties like robustness and order reduction due to the absence of the discontinuous function. In this research, a novel approach to fix the switching frequency in SMC is proposed, that employs a low pass filter to extract the equivalent control from the discontinuous function, such that the performance and robustness remains intact. To benchmark the experimental observations, a comparison with existing double integral type PWM-SMC is also presented. The results confirm that an improvement of 20% in the rise time and 25.3% in the settling time is obtained. The voltage sag during step change in load is reduced to 42.86%, indicating the increase in the robustness. The experiments prove the hypothesis that a discontinuous function based fixed frequency SMC performs better in terms of disturbances rejection as compared to its counterpart based solely on ideal equivalent control.
“…To overcome this disadvantage, the concept of nonsingular TSM (NTSM) is first proposed in the work of Feng et al 30 Then, the NTSM in the aforementioned work 30 is extended in the work of Yu et al 31 The results in the works of Feng et al 30 and Yu et al 31 show that the NTSM not only can preserve the aforementioned good properties of TSM but also avoid the singular problem. On these bases, tremendous attention has been attracted to the application of NTSM naturally, such as motor control system, 32,33 multiagent system, 34 rigid robot system, 35 vehicle control, 36 and switching power devices. 37 On the other hand, how to attenuate the chattering is always a hot topic in the SMC area and several techniques have been introduced to tackle the chattering problem.…”
Summary
Note that the amplitude of chattering existing in the sliding mode control method is proportional to the magnitude of the control gain. Therefore, the key issue to diminish the chattering is to decrease the value of sliding mode controller's gain to an acceptable minimal level defined by the so‐called reaching condition for the sliding mode's existence. For this reason, the nonsingular terminal sliding mode (NTSM) control method and the adaptive technique have been considered in this paper to develop a novel adaptive NTSM control method, which can be used to search the minimal value of the control gain automatically in the presence of the external disturbances. Meanwhile, the average value of a high‐frequency switching signal in the adaptive law can be provided by Arie Levant's differentiator rather than a low‐pass filter. The rigorous mathematical proof verifies that the system states can converge to the origin within a finite time under the proposed adaptive NTSM controller. Both the academic example and the practical application to an active front steering system are illustrated to show that the presented adaptive NTSM controller has better control performance than the conventional sliding mode controller.
“…Nonsingular terminal sliding mode (NTSM) control evolved on the basis of avoiding the TSM singularity problem. It avoids the control singular regions directly in the sliding mode design and preserves the finite time convergence characteristics of TSM [20][21][22][23][24][25]. In recent years, NTSM has developed rapidly.…”
Aiming at the tracking control problem of a class of uncertain nonlinear systems, a nonsingular fast terminal sliding mode control scheme combining RBF network and disturbance observer is proposed. The sliding mode controller is designed by using nonsingular fast terminal sliding mode and second power reaching law to solve the problem of singularity and slow convergence in traditional terminal sliding mode control. By using the universal approximation of RBF network, the unknown nonlinear function of the system is approximated, and the disturbance observer is designed by using the hyperbolic tangent nonlinear tracking differentiator (TANH-NTD) to estimate the interference of the system and enhance the robustness of the system. The stability of the system is proved by the Lyapunov principle. The numerical simulation results show that the method can shorten the system arrival time, improve the tracking accuracy, and suppress the chattering phenomenon.
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