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Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
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Switching behavior in Bipolar Junction Transistors (BJTs) is a fundamental aspect utilized in various electronic circuits, particularly for digital logic applications like switches and amplifiers. In a typical switching circuit, a BJT alternates between cut-off and saturation modes, corresponding to the "off" and "on" states, respectively, thus behaving like an ideal switch.
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Dynamic Sensorless Control Approach for Markovian Switching Systems Applied to PWM DC-DC Converters with Time-Delay

Abdelmalek Zahaf1, Sofiane Bououden2, Mohammed Chadli3

  • 1Faculty of Technology Sciences, Constantine 1-Frères Mentouri University, Constantine 25017, Algeria.

Sensors (Basel, Switzerland)
|August 12, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces a sensorless control strategy for PWM DC-DC converters modeled as Markov jump systems. The approach enhances disturbance rejection and time-delay compensation for robust performance.

Keywords:
Markovian switching systemPWM DCDC convertersdisturbance rejectionobserver–predictive controlpartial input saturation

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Area of Science:

  • Power Electronics
  • Control Systems Engineering
  • Systems Theory

Background:

  • Pulse Width Modulation (PWM) DC-DC converters are crucial in power management.
  • Controlling these converters under uncertainties like time delays and load variations is challenging.
  • Modeling converters as Markov jump systems captures their dynamic behavior.

Purpose of the Study:

  • To develop a sensorless active disturbance rejection control strategy for PWM DC-DC converters.
  • To address modeling uncertainties, time delays, and load variations.
  • To reformulate the optimal control problem as a convex optimization problem.

Main Methods:

  • Modeling the PWM DC-DC converter as a discrete-time Markovian switching system.
  • Proposing a dynamic sensorless active disturbance rejection control design.
  • Utilizing a robust dynamic observer-predictive controller.
  • Employing Linear Matrix Inequalities (LMIs) for less conservative conditions.
  • Using the Lyapunov-Krasovskii function for stability analysis.

Main Results:

  • A novel sensorless active disturbance rejection control strategy is presented.
  • Less conservative stability conditions are derived using LMIs.
  • The controller demonstrates effective disturbance rejection and time-delay compensation.
  • Robust performance is maintained despite system uncertainties and input saturation.

Conclusions:

  • The proposed control strategy offers an efficient solution for PWM DC-DC converters.
  • The approach effectively handles external disturbances and time delays.
  • Simulation results validate the robustness and effectiveness of the proposed method.