H-infinity with pole placement constraint in LMI region for a buck-converter driven DC motor

2021 ◽

Vol 9 (2) ◽

pp. 415

Author(s):

NUR SULISTYAWATI ◽

FAHMIZAL FAHMIZAL ◽

IOTA NATHASYA

Keyword(s):

Steady State ◽

State Feedback ◽

Dc Motor ◽

Buck Converter ◽

Settling Time ◽

Pole Placement ◽

Full State ◽

Full State Feedback ◽

Rising Time ◽

State Error

ABSTRAKMakalah ini menyajikan penjelasan tentang penerepan full state feedback menggunakan metode pole placement pada sistem buck converter dengan Motor DC. Penambahan komponen buck converter diharapkan dapat membantu menaikkan nilai efisiensi sistem dan memperpanjang umur komponen switch yang digunakan. Namun terkadang sistem ini masih memerlukan kendali untuk dapat memaksimalkan perfoma sistem baik dari segi rising time, settling time maupun error steady state dari sistem. Simulasi kendali full state feedback menggunakan pole placement disimulasikan dengan pemodelan buck converter dan motor DC menggunakan Simscape dan Simulink pada Matlab. Dari hasil simulasi diperoleh bahwa kendali pole placement mampu menghasilkan kondisi rising time 1.4508s, settling time 2.5729s sedangkan kendali LQR lebih lambat 0.9524s untuk rising time dan 4.3603s untuk settling time saat diuji dengan sinyal step. Selain itu, penambahan pre compensator (Nbar) telah membuat sistem mampu mencapai nilai referensi yang diharapkan (error steady state menuju nol).Kata kunci: Motor DC, Buck Converter, Pole Placement. ABSTRACTThis paper presents an explanation of the advanced full state feedback using the pole placement method in a buck converter system with a DC motor. The addition of buck converter components is expected to help increase the value of system efficiency and extend the life of the switch components used. However, sometimes this system still requires control to be able to maximize system performance in terms of both the rising time, the settling time and the steady state error of the system. Full state feedback control simulation using pole placement is simulated by modeling the buck converter and DC motor using Simscape and Simulink in Matlab. The simulation results show that the pole placement control is capable of producing a rising time of 1.4508s, settling time of 2.5729s, while LQR control is 0.9524s slower for rising time and 4.3603s for settling time when tested with step signals. In addition, the addition of a pre compensator (Nbar) has made the system able to reach the expected reference value (steady state error goes to zero).Keywords: DC Motor, Buck Converter, Pole Placement.

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Pole Placement Based State Feedback for DC Motor Position Control

Journal of Physics Conference Series ◽

10.1088/1742-6596/1783/1/012057 ◽

2021 ◽

Vol 1783 ◽

pp. 012057

Author(s):

Iswanto ◽

Nia Maharani Raharja ◽

Alfian Ma’arif ◽

Yogi Ramadhan ◽

Phisca Aditya Rosyady

Keyword(s):

State Feedback ◽

Position Control ◽

Dc Motor ◽

Pole Placement

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The usage of Lambert W function for identification and speed control of a DC motor

Facta universitatis - series Electronics and Energetics ◽

10.2298/fuee1904581g ◽

2019 ◽

Vol 32 (4) ◽

pp. 581-600

Author(s):

Radmila Gerov ◽

Zoran Jovanovic

Keyword(s):

Closed Loop ◽

Dc Motor ◽

Pole Placement ◽

Step Response ◽

Lambert W Function ◽

Placement Method ◽

Speed Regulation ◽

Measured Speed ◽

Proportional Controller ◽

Integral Gain

The paper proposes a new method of identifying the linear model of a DC motor. The parameter estimation is based on the closed-loop step response of the DC motor under a proportional controller. For the application of the method, a deliberate delay of the measured speed was introduced. The paper considers the speed regulation of the direct current motor with negligible inductance by applying 1-DOF and 2-DOF, proportional integral retarded controllers. The proportional and integral gain of the PI retarded controllers was received by using a pole placement method on the identified model. The Lambert W function was applied for the identification and in designing the controller with the purpose of finding the rightmost poles of the closed-loop as well as the boundary conditions for selecting the gain of the PI controller. The robustness of the calculated controllers was considered under the effect of an disturbance, uncertainty in each of the DC motor parameters as well as perturbations in time delay.

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