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Optimizing the Parameter of the LQR Controller for Active Suspension System

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The AUN/SEED-Net Joint Regional Conference in Transportation, Energy, and Mechanical Manufacturing Engineering (RCTEMME 2021)

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Abstract

The Automobiles are vehicles widely used to transport passengers and goods around the world. When traveling on the road, many factors affect the oscillation of the automobile. In particular, the stimuli from the road surface are the direct causes of its instability. The automobile’s suspension system has the role of regulating and extinguishing these oscillations quickly. To improve the efficiency, stability, and comfort of the vehicle, the active suspension system is proposed. This study establishes the quarter dynamics model to describe the vehicle’s oscillation. Besides, the LQR control method for the active suspension system equipped on the vehicle also is introduced. In this paper, the closed multi-loop algorithm is used to optimize the controller’s parameters. This is one of the novel and original methods, and it gives high efficiency and stability under many conditions. The results of the article showed that when the vehicle used the active suspension system controlled by the LQR controller, the vehicle's oscillation parameters were significantly reduced. For cyclic oscillations, the average values of displacement and acceleration of the sprung mass are only about 25.25% and 32.47% respectively compared to the case of the vehicle using the passive suspension system. For random oscillators, this falls between 43.37% and 73.23% respectively. In the future, more complex control models can be further researched and developed.

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Abbreviations

zs::

Displacement of the sprung mass, m

zu::

Displacement of the unsprung mass, m

r::

Roughness on the road, m

FC::

Force of the damper, N

FK::

Force of the spring, N

FKT::

Force of the tire, N

FS::

Force of the actuator, N

ms::

Sprung mass, kg

mu::

Unsprung mass, kg

C::

Damper coefficient, Ns/m

K::

Spring coefficient, N/m

KT::

Tire coefficient, N/m

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Author information

Authors and Affiliations

  1. Faculty of Vehicle and Energy Engineering, Phenikaa University, Nguyen Van Trac, Ha Dong, Hanoi, Vietnam

    Thi Thu Huong Tran

  2. Automotive Engineering Department, Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam

    Tuan Anh Nguyen, Duc Ngoc Nguyen & Ngoc Duyen Dang

  3. Hanoi University of Science and Technology, 1 Dai Co Viet, Hai Ba Trung, Hanoi, Vietnam

    Thang Binh Hoang

Authors
  1. Thi Thu Huong Tran
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  2. Tuan Anh Nguyen
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  3. Thang Binh Hoang
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  4. Duc Ngoc Nguyen
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  5. Ngoc Duyen Dang
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Correspondence to Tuan Anh Nguyen .

Editor information

Editors and Affiliations

  1. Hanoi University of Science and Technology, Hanoi, Vietnam

    Anh-Tuan Le

  2. Hanoi University of Science and Technology, Hanoi, Vietnam

    Van-Sang Pham

  3. Hanoi University of Science and Technology, Hanoi, Vietnam

    Minh-Quy Le

  4. Hanoi University of Science and Technology, Hanoi, Vietnam

    Hoang-Luong Pham

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Tran, T.T.H., Nguyen, T.A., Hoang, T.B., Nguyen, D.N., Dang, N.D. (2022). Optimizing the Parameter of the LQR Controller for Active Suspension System. In: Le, AT., Pham, VS., Le, MQ., Pham, HL. (eds) The AUN/SEED-Net Joint Regional Conference in Transportation, Energy, and Mechanical Manufacturing Engineering. RCTEMME 2021. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-1968-8_21

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  • DOI: https://doi.org/10.1007/978-981-19-1968-8_21

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-1967-1

  • Online ISBN: 978-981-19-1968-8

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