Model-Based Quasi-Sliding Mode Control with Loss Estimation Applied to DC–DC Power Converters

In this paper, the approximation of a fractional-order PIDcontroller is proposed to control a DC–DC converter. The synthesis and tuning process of the non-integer PID controller is described step by step. A biquadratic approximation is used to produce a flat phase response in a band-limited frequency spectrum. The proposed method takes into consideration both robustness and desired closed-loop characteristics, keeping the tuning process simple. The transfer function of the fractional-order PID controller and its time domain representation are described and analyzed. The step response of the fractional-order PID approximation shows a faster and stable regulation capacity. The comparison between typical PID controllers and the non-integer PID controller is provided to quantify the regulation speed introduced by the fractional-order PID approximation. Numerical simulations are provided to corroborate the effectiveness of the non-integer PID controller.

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“…, which is the fractional-order differentiator (integrator), thus, φ c = ±απ/2. Therefore, by using (7) and (10)…”

Section: Synthesis and Tuning Of Fractional-order Pid Controllermentioning

confidence: 99%

“…Different control strategies have been proposed to enhance performance of DC-DC converters, ranging from the widely used Proportional-Integral and Proportional-Integral-Derivative controllers [7][8][9], sliding mode control [10], passivity-based control [11], fuzzy logic controllers [12,13] or poles placement [14], for instance.…”

Section: Introductionmentioning

confidence: 99%

Fractional-Order Approximation and Synthesis of a PID Controller for a Buck Converter

et al. 2020

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“…In this sense, several control strategies have been designed. To control the chaos presented by the SEPIC converter with ZAD, we use the FPIC (Fixed Point Induced Control) technique [29], which was designed by [14] and has been used numerically in [13,30]. This is based on the continuity of proper values theorem and helps stabilize period one or more orbits in unstable and/or chaotic systems and does not require the measurement of state variables.…”

Section: Chaos Control With Fpic Techniquementioning

confidence: 99%

“…In the present article, the ZAD technique has been implemented to control a SEPIC converter, which has been used to control boost and buck converters in previous Works [11,13,14]. A linear combination of the error in voltage and current has also been taken as the switching surface (x( )) = 1 ( 1 ( ) − 1 ) +…”

mentioning

confidence: 99%

Simulation, bifurcation, and stability analysis of a SEPIC converter controlled with ZAD

Morelo¹,

Trujillo²,

Hoyos³

2020

IJECE

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This article presents some results of SEPIC converter dynamics when controlled by a center pulse width modulator controller (CPWM). The duty cycle is calculated using the ZAD (Zero Average Dynamics) technique. Results obtained using this technique show a great variety of non-linear phenomena such as bifurcations and chaos, as parameters associated with the switching surface. These phenomena have been studied in the present paper in numerical form. Simulations were done in MATLAB.

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“…Then, the ZAD-FPIC techniques applied to the buck converter to obtain a new duty cycle are expressed in Equation (15) [24]:…”

Section: Model Of the Cplmentioning

confidence: 99%

Dynamic Behavior of a Sliding-Mode Control Based on a Washout Filter with Constant Impedance and Nonlinear Constant Power Loads

2019

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Power converters (PCs) with their control techniques help regulate voltages of nodes in microgrids with different types of loads such as resistive, inductive, nonlinear, constant power, or critical loads. However, constant power loads (CPLs) affect the stability of the voltage in the output of PCs and are usually difficult to regulate with traditional control techniques. The sliding-mode control (SMC) with the washout filter technique has been recently proposed to address this issue, but studies that consider the phenomenon and parameters present in real systems are required. Therefore, this paper focuses on evaluating the dynamic behavior of an SMC based on a washout filter using three different loads: A constant impedance load (CIL), a nonlinear CPL, and a combination of CIL and CPL. The CIL considered a resistance connected to the circuit, whereas the nonlinear CPL was designed by using a buck converter with zero average dynamics and fixed-point induction control techniques (ZAD-FPIC). The tests consisted of creating some variations in the reference signals to identify the output voltage and the error that the control brings according to the different loads. Besides, this study focuses on representing the dynamic behavior of signals when loads change, considering quantization effects, system discretization, delay effects, and parasitic resistors. Additionally, bifurcation diagrams are created by changing the control parameter k and plotting the regulated voltage and the error produced in the output signals. To illustrate the advantages of the SMC with the washout filter technique, a comparison was made with other techniques such as the proportional–integral–derivative (PID) and conventional SMC by varying the load. The results showed that SMC with the washout filter technique was superior to the PID and the conventional SMC because it stabilizes the signal faster and has a low steady-state error. Additionally, the control system regulates well the output voltage with the three types of load and the system remains stable when changing the parameter k for values greater than 1, with a low error in the steady-state operation.

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Model-Based Quasi-Sliding Mode Control with Loss Estimation Applied to DC–DC Power Converters

Cited by 15 publications

References 26 publications

Fractional-Order Approximation and Synthesis of a PID Controller for a Buck Converter

Fractional-Order Approximation and Synthesis of a PID Controller for a Buck Converter

Simulation, bifurcation, and stability analysis of a SEPIC converter controlled with ZAD

Dynamic Behavior of a Sliding-Mode Control Based on a Washout Filter with Constant Impedance and Nonlinear Constant Power Loads

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