LMI‐Based Robust PID Controller Design for Voltage Control of Islanded Microgrid

Abstract

This paper presents the design of a robust proportional integral derivative (PID) controller for the control of a single phase microgrid voltage. A microgrid consists of loads, distributed generation units and several power‐electronics interfaced LC filter and voltage source inverter. These loads are unknown and parameters are uncertain which produce unmodeled load dynamics. This unmodeled load dynamics reduces the voltage tracking performance of the microgrid. The proposed controller gives the robustness of the system with unmodeled load dynamics. Under different kinds of uncertainties, PID controller guarantees the stability and provides zero steady‐state error and fast transient response. The robustness and optimal performance of the controller is obtained by using linear matrix inequality approach. The performance of the controller under different uncertainties is studied. Results indicate the robustness and high voltage tracking performance of the microgrid system.

Robust PID controller for flexible satellite attitude control under angular velocity and control torque constraint

“…Subsequently, in [11], a specific Lyapunov function is constructed to eliminate the integral term in a derivative of the Lyapunov function, however the constraint on control parameters are complex and hard to satisfy. Generally, the key issue of stability analysis for the PID controller is the design of the integral term and the structure of the Lyapunov function [11,25,7,8,1,20]. In this section, an integral term with specific structure is constructed to simplify the stability proof and constraint on control parameters.…”

An Embedded Solar‐Powered Irrigation System Based on a Cascaded Fuzzy Logic Controller

“…Batteries System L err P err C err Simple Cascaded 1 00:11:30 00:11:30 00:11:30 0 0 0,00 00:10:00 00:10:00 2 00:11:30 00:11:00 00:11:00 0 0 0,00 00:10:00 00:10:00 3 00:11:00 00:11:30 00:11:00 0 0 0,00 00:10:00 00:10:00 4 00:11:00 00:10:00 00:10:00 0 0 5,68 [4] 00:10:00 00:09:26 5 00:10:00 00:11:00 00:10:00 0 0 5,68 [4] 00:10:00 00:09:26 6 00:10:00 00:10:00 00:10:00 0 0 5,68 [4] 00:10:00 00:09:26 7 00:11:00 00:08: moisture setpoint is 25%, while the measured value of the soil moisture and indoor temperature are found equals to 20%, and 30 • C respectively; • Controller Settings: this tab gives the administrator full access to adapt the irrigation FLC settings concerning each device in order to reach better performances. This includes modifying defuzzifier methods and updating rule bases; • Data Evaluation: this tab is used to show the irrigation estimations.…”

Mode‐dependent seamless transfer control strategy of a microgrid via a small‐signal stability approach

“…When the transition mode occurs, the microgrid will be subject to large amount of switching transients, which can cause severe unbalanced harmonic currents and voltage deviations. Therefore, in order to reduce the jumps of the system variables within acceptable limits to ensure system stability and power quality in multiple operating modes, seamless transfer is necessary to be guaranteed on switching between different modes .…”

“…of the system variables within acceptable limits to ensure system stability and power quality in multiple operating modes, seamless transfer is necessary to be guaranteed on switching between different modes [3].…”