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Gramian matrix tabanlı LQG kontrolü kullanılarak aktif araç süspansiyonunun tasarımı ve analizi

Yıl 2024, Cilt: 30 Sayı: 7, 869 - 876, 28.12.2024

Öz

Bu çalışmada sadece düşey kuvvetler dikkate alınarak tasarlanan tek
serbestlik dereceli çeyrek araç aktif süspansiyon modeli incelenmiştir.
Sistemin farklı yol profillerine göre tepkisini en aza indirmek için LQG
tabanlı kapalı döngü süspansiyon kontrolü kullanıldı. Tasarlanan
kontrol sisteminin gerçekçi simülasyonları için sensör sesleri eklenmiş
ve bu gürültüleri filtrelemek için Kalman filtresi kullanılmıştır. Aktif
süspansiyon sistemi MATLAB simülasyon yazılım paketi ile analiz
edilmiştir. Yeni yaklaşımla kontrol sistemi için kullanılan geri besleme
sinyali ve sensör konumu sistemin Gramian matrisi kullanılarak
belirlendi. Elde edilen sonuçlara göre LQG kontrol sistemi geleneksel
pasif süspansiyon sistemiyle karşılaştırıldı. Bu çalışmada çeşitli geri
bildirim sinyallerine göre modellenen aktif ve pasif süspansiyon
sistemlerine üç farklı yol girdisi uygulanmıştır. LQG kontrolü sensör
gürültüsüne maruz kalmasına rağmen farklı yol girdilerine karşı
sönümleme yeteneğinin pasif süspansiyon sistemine göre daha iyi
olduğu belirlendi.

Kaynakça

  • [1] Bashir AO, Rui X, Abbas LK, Zhou Q. “MR-Damped vehicle suspension ride comfort enhancement based on advanced proportional-ıntegral-differential sliding mode control”. Control Engineering and Applied Informatics, 20(4), 11-21, 2018.
  • [2] Rajeswari K, Lavanya S, Lakshmi P. “Grey fuzzy sliding mode controller for vehicle suspension system”. Control Engineering and Applied Informatics, 17(3), 12-19, 2015.
  • [3] Ulu A, Metin M. “Control of railway vehicle vibrations due to the effect of different superstructure stiffness in transition zones with rail irregularities”. Pamukkale University Journal of Engineering Sciences, 26(4), 709-719, 2020.
  • [4] Yıldız AS, Sivrioglu S. “Constrained adaptive backstepping control of a semi-active suspension considering suspension travel limits”. Asian Journal of Control, 23(3), 1-14, 2020.
  • [5] Khadanga KK, Lee HH. “Robust stability of active suspension lqg control for railway vehicle with parametric fluctuations”. 2018 International Conference on Information and Communication Technology Robotics (ICT-ROBOT), Japan, Kitakyushu, 06-08 September 2018.
  • [6] Nagarkar M, Patil GJV. “Multi-Objective optimization of LQR control quarter car suspension system using genetic algorithm”. FME Transactions, 44(2), 187-196, 2016.
  • [7] Rezazadeh A, Moradi H. “Design of optimum vibration absorbers for a bus vehicle to suppress unwanted vibrations against harmonic and random road excitations”. Scientia Iranica, 28(1), 241-254, 2021.
  • [8] Goodarzi A, Khajepour A. Vehicle Suspension System Technology and Design. 2nd ed. Waterloo, Canada, Morgan & Claypool Publishers, 2017.
  • [9] Mohamed ME, Zuhair A. “Linear quadratic gaussian control of a quarter-car suspension”. Vehicle System Dynamics, 32(6), 479-497, 1999.
  • [10] Bharali J, Buragohain M. “A comparative analysis of PID, LQR and Fuzzy logic controller for active suspension system using 3 Degree of Freedom quarter car model”. IEEE 1st International Conference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES), Delhi, India, 04-06 July 2016.
  • [11] Alexandru C, Alexandru P. “Control strategy for an active suspension system”. World Academy of Science, Engineering and Technology, 5(7), 1204-1209, 2011.
  • [12] Huang Y, Na J, Wu X, Gao G. “Approximation-free control for vehicle active suspensions with hydraulic actuator”. IEEE Transactions on Industrial Electronics, 65(9), 7258–7267, 2018.
  • [13] Pan H, Sun W, Gao H, Jing X. “Disturbance observer-based adaptive tracking control with actuator saturation and its application”. IEEE Transactions on Automation Science and Engineering, 13(2), 868–875, 2015.
  • [14] Sammier D, Sename O, Dugard, L. “Skyhook and H8 control of semi-active suspensions: some practical aspects”. Vehicle System Dynamics, 39(4), 279-308, 2003.
  • [15] Du H, Sze KY, Lam J. “Semi-active H-infinity control of vehicle suspension with magneto-rheological dampers”. Journal of Sound and Vibration, 283(3), 981-996, 2005.
  • [16] Sun W, Gao H, Kaynak O. “Adaptive backstepping control for active suspension systems with hard constraints”. IEEE/ASME Transactions on Mechatronics, 18(3), 1072–1079, 2012.
  • [17] Gomonwattanapanich O, Pannucharoenwong N, Rattanadecho P, Echaroj S, Hemathulin S. “Vibration control of vehicle by active suspension with LQG algorithm”. International Journal of Automotive and Mechanical Engineering, 17(2), 8011-8018, 2020.
  • [18] Gudarzi M. “Reliable robust controller for half-car active suspension systems based on human-body dynamics”. Facta Universitatis Series Mechanical Engineering, 14(2), 121-134, 2016.
  • [19] Vu T, Dung D, Trang N, Hai P. “Analytical design of PID controller for enhancing ride comfort of active vehiclesuspension system”. International Conference on System Science and Engineering (ICSSE), Ho Chi Minh City, Vietnam, 21-23 July 2017.
  • [20] Ulusoy AG, Hrovat D, Tseng T. “Stability robustness of LQ and LQG active suspensions”. Journal of Dynamic Systems, Measurement, and Control, 116(1), 123-131, 1994.
  • [21] Muhammed A, Gavrilov A. “Managing the handling– comfort contradiction of a quarter-car system using Kalman filter”. Transactions of the Institute of Measurement and Control, 43(10), 2292-2306, 2021.
  • [22] Chetan R, Both-Rusu R, Dulf E, Festila C. “Physical model of a quarter-car active suspension system”. 18th International Carpathian Control Conference (ICCC), Sinaia, Romania, 28-31 May 2017.
  • [23] Krauze P, Kasprzyk J. “Neural network based LQ control of a semiactive quarter-car model”. 18th International Conference on Methods & Models in Automation & Robotics (MMAR), Międzyzdroje, Poland, 26-29 August 2013.
  • [24] Zohoor H. “Optimal preview control design of an active suspension based on a full car model”. Scientia Iranica, 10(1), 23-36, 2003.
  • [25] Karasız G, Baştürk Hİ. “Design of an controller under unknow disturbance input for active suspension systems”. Pamukkale University Journal of Engineering Sciences, 24(8), 1403-1408, 2018.
  • [26] Labane C, Zemalache MK. “Aircraft control system using LQG and LQR controller with optimal estimation-kalman filter design. 3th International Symposium on Aircraft Airworthiness, Nairobi, Kenya, 7-11 April 2014.
  • [27] Afshar K, Javadi A, Jahed-Motlagh MR. “Robust H∞ control of an active suspension system with actuator time delay by predictor feedback”. IET Control Theory & Applications, 12(7), 1012-1023, 2018.
  • [28] Brunton S, Kutz J. Dynamics and Control. 3nd ed. UK, Cambridge, 2019.
  • [29] Manohar K, Kutz JN, Brunton SL. “Optimal sensor and actuator placement using balanced model reduction”. IEEE Transactions on Automatic Control, 67(4), 2108-2115 2018.
  • [30] Kanjanavapastit A, Thitinaruemit A. "Estimation of a speed hump profile using quarter car model". Procedia Social and Behavioral Sciences, 88, 265-273, 2013.
  • [31] Standard of International. “Mechanical Vibration and Shock–Evaluation of Human Exposure to Whole Body Vibration–Part 4: Guidelines for the Evaluation of the Effects of Vibration and Rotational Motion on Passenger and Crew Comfort in Fixed-Guideway Transport Systems”. Ministry of Industry and Technology of the Republic of Turkey, Ankara, Turkey. ISO 2631-4:2001, 2001.
  • [32] Baumal AE, McPhee JJ, Calamai PH. “Application of genetic algorithms to the design optimization of an active vehicle suspension system”. Computer Methods in Applied Mechanics and Engineering, 163, 87-94, 1998.
  • [33] Kizir S. “Real time full state feedback control of a Seesaw system based on Lqr”. Journal of Polytechnic, 22(4), 1023-1030, 2019.

Design and analysis of active vehicle suspension using gramian matrix based LQG control

Yıl 2024, Cilt: 30 Sayı: 7, 869 - 876, 28.12.2024

Öz

In the present study, a quarter vehicle active suspension model with one
degree of freedom designed considering only vertical forces were
examined. LQG-based closed-loop suspension control was used to
minimize the response of the system according to different road profiles.
Sensor noises were added for the realistic simulations of the designed
control system and a Kalman filter was used to filter these noises. The
active suspension system was analyzed with the MATLAB simulation
software package. The feedback signal and sensor location which used
for the control system were determined using the system's Gramian
matrix with the new approach. The LQG control system was compared
to the conventional passive suspension system, according to the
obtained results. In this study, three different road inputs were applied
to active and passive suspension systems modeled according to several
feedback signals. Although the LQG control was exposed to sensor noise,
its damping ability against different road inputs was determined to be
better than the passive suspension system.

Kaynakça

  • [1] Bashir AO, Rui X, Abbas LK, Zhou Q. “MR-Damped vehicle suspension ride comfort enhancement based on advanced proportional-ıntegral-differential sliding mode control”. Control Engineering and Applied Informatics, 20(4), 11-21, 2018.
  • [2] Rajeswari K, Lavanya S, Lakshmi P. “Grey fuzzy sliding mode controller for vehicle suspension system”. Control Engineering and Applied Informatics, 17(3), 12-19, 2015.
  • [3] Ulu A, Metin M. “Control of railway vehicle vibrations due to the effect of different superstructure stiffness in transition zones with rail irregularities”. Pamukkale University Journal of Engineering Sciences, 26(4), 709-719, 2020.
  • [4] Yıldız AS, Sivrioglu S. “Constrained adaptive backstepping control of a semi-active suspension considering suspension travel limits”. Asian Journal of Control, 23(3), 1-14, 2020.
  • [5] Khadanga KK, Lee HH. “Robust stability of active suspension lqg control for railway vehicle with parametric fluctuations”. 2018 International Conference on Information and Communication Technology Robotics (ICT-ROBOT), Japan, Kitakyushu, 06-08 September 2018.
  • [6] Nagarkar M, Patil GJV. “Multi-Objective optimization of LQR control quarter car suspension system using genetic algorithm”. FME Transactions, 44(2), 187-196, 2016.
  • [7] Rezazadeh A, Moradi H. “Design of optimum vibration absorbers for a bus vehicle to suppress unwanted vibrations against harmonic and random road excitations”. Scientia Iranica, 28(1), 241-254, 2021.
  • [8] Goodarzi A, Khajepour A. Vehicle Suspension System Technology and Design. 2nd ed. Waterloo, Canada, Morgan & Claypool Publishers, 2017.
  • [9] Mohamed ME, Zuhair A. “Linear quadratic gaussian control of a quarter-car suspension”. Vehicle System Dynamics, 32(6), 479-497, 1999.
  • [10] Bharali J, Buragohain M. “A comparative analysis of PID, LQR and Fuzzy logic controller for active suspension system using 3 Degree of Freedom quarter car model”. IEEE 1st International Conference on Power Electronics, Intelligent Control and Energy Systems (ICPEICES), Delhi, India, 04-06 July 2016.
  • [11] Alexandru C, Alexandru P. “Control strategy for an active suspension system”. World Academy of Science, Engineering and Technology, 5(7), 1204-1209, 2011.
  • [12] Huang Y, Na J, Wu X, Gao G. “Approximation-free control for vehicle active suspensions with hydraulic actuator”. IEEE Transactions on Industrial Electronics, 65(9), 7258–7267, 2018.
  • [13] Pan H, Sun W, Gao H, Jing X. “Disturbance observer-based adaptive tracking control with actuator saturation and its application”. IEEE Transactions on Automation Science and Engineering, 13(2), 868–875, 2015.
  • [14] Sammier D, Sename O, Dugard, L. “Skyhook and H8 control of semi-active suspensions: some practical aspects”. Vehicle System Dynamics, 39(4), 279-308, 2003.
  • [15] Du H, Sze KY, Lam J. “Semi-active H-infinity control of vehicle suspension with magneto-rheological dampers”. Journal of Sound and Vibration, 283(3), 981-996, 2005.
  • [16] Sun W, Gao H, Kaynak O. “Adaptive backstepping control for active suspension systems with hard constraints”. IEEE/ASME Transactions on Mechatronics, 18(3), 1072–1079, 2012.
  • [17] Gomonwattanapanich O, Pannucharoenwong N, Rattanadecho P, Echaroj S, Hemathulin S. “Vibration control of vehicle by active suspension with LQG algorithm”. International Journal of Automotive and Mechanical Engineering, 17(2), 8011-8018, 2020.
  • [18] Gudarzi M. “Reliable robust controller for half-car active suspension systems based on human-body dynamics”. Facta Universitatis Series Mechanical Engineering, 14(2), 121-134, 2016.
  • [19] Vu T, Dung D, Trang N, Hai P. “Analytical design of PID controller for enhancing ride comfort of active vehiclesuspension system”. International Conference on System Science and Engineering (ICSSE), Ho Chi Minh City, Vietnam, 21-23 July 2017.
  • [20] Ulusoy AG, Hrovat D, Tseng T. “Stability robustness of LQ and LQG active suspensions”. Journal of Dynamic Systems, Measurement, and Control, 116(1), 123-131, 1994.
  • [21] Muhammed A, Gavrilov A. “Managing the handling– comfort contradiction of a quarter-car system using Kalman filter”. Transactions of the Institute of Measurement and Control, 43(10), 2292-2306, 2021.
  • [22] Chetan R, Both-Rusu R, Dulf E, Festila C. “Physical model of a quarter-car active suspension system”. 18th International Carpathian Control Conference (ICCC), Sinaia, Romania, 28-31 May 2017.
  • [23] Krauze P, Kasprzyk J. “Neural network based LQ control of a semiactive quarter-car model”. 18th International Conference on Methods & Models in Automation & Robotics (MMAR), Międzyzdroje, Poland, 26-29 August 2013.
  • [24] Zohoor H. “Optimal preview control design of an active suspension based on a full car model”. Scientia Iranica, 10(1), 23-36, 2003.
  • [25] Karasız G, Baştürk Hİ. “Design of an controller under unknow disturbance input for active suspension systems”. Pamukkale University Journal of Engineering Sciences, 24(8), 1403-1408, 2018.
  • [26] Labane C, Zemalache MK. “Aircraft control system using LQG and LQR controller with optimal estimation-kalman filter design. 3th International Symposium on Aircraft Airworthiness, Nairobi, Kenya, 7-11 April 2014.
  • [27] Afshar K, Javadi A, Jahed-Motlagh MR. “Robust H∞ control of an active suspension system with actuator time delay by predictor feedback”. IET Control Theory & Applications, 12(7), 1012-1023, 2018.
  • [28] Brunton S, Kutz J. Dynamics and Control. 3nd ed. UK, Cambridge, 2019.
  • [29] Manohar K, Kutz JN, Brunton SL. “Optimal sensor and actuator placement using balanced model reduction”. IEEE Transactions on Automatic Control, 67(4), 2108-2115 2018.
  • [30] Kanjanavapastit A, Thitinaruemit A. "Estimation of a speed hump profile using quarter car model". Procedia Social and Behavioral Sciences, 88, 265-273, 2013.
  • [31] Standard of International. “Mechanical Vibration and Shock–Evaluation of Human Exposure to Whole Body Vibration–Part 4: Guidelines for the Evaluation of the Effects of Vibration and Rotational Motion on Passenger and Crew Comfort in Fixed-Guideway Transport Systems”. Ministry of Industry and Technology of the Republic of Turkey, Ankara, Turkey. ISO 2631-4:2001, 2001.
  • [32] Baumal AE, McPhee JJ, Calamai PH. “Application of genetic algorithms to the design optimization of an active vehicle suspension system”. Computer Methods in Applied Mechanics and Engineering, 163, 87-94, 1998.
  • [33] Kizir S. “Real time full state feedback control of a Seesaw system based on Lqr”. Journal of Polytechnic, 22(4), 1023-1030, 2019.
Toplam 33 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Makine Mühendisliği (Diğer)
Bölüm Makale
Yazarlar

Murat Catalkaya

Orhan Akay

Güçhan Taşlialan Bu kişi benim

Yayımlanma Tarihi 28 Aralık 2024
Yayımlandığı Sayı Yıl 2024 Cilt: 30 Sayı: 7

Kaynak Göster

APA Catalkaya, M., Akay, O., & Taşlialan, G. (2024). Design and analysis of active vehicle suspension using gramian matrix based LQG control. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 30(7), 869-876.
AMA Catalkaya M, Akay O, Taşlialan G. Design and analysis of active vehicle suspension using gramian matrix based LQG control. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. Aralık 2024;30(7):869-876.
Chicago Catalkaya, Murat, Orhan Akay, ve Güçhan Taşlialan. “Design and Analysis of Active Vehicle Suspension Using Gramian Matrix Based LQG Control”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 30, sy. 7 (Aralık 2024): 869-76.
EndNote Catalkaya M, Akay O, Taşlialan G (01 Aralık 2024) Design and analysis of active vehicle suspension using gramian matrix based LQG control. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 30 7 869–876.
IEEE M. Catalkaya, O. Akay, ve G. Taşlialan, “Design and analysis of active vehicle suspension using gramian matrix based LQG control”, Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 30, sy. 7, ss. 869–876, 2024.
ISNAD Catalkaya, Murat vd. “Design and Analysis of Active Vehicle Suspension Using Gramian Matrix Based LQG Control”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 30/7 (Aralık 2024), 869-876.
JAMA Catalkaya M, Akay O, Taşlialan G. Design and analysis of active vehicle suspension using gramian matrix based LQG control. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2024;30:869–876.
MLA Catalkaya, Murat vd. “Design and Analysis of Active Vehicle Suspension Using Gramian Matrix Based LQG Control”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 30, sy. 7, 2024, ss. 869-76.
Vancouver Catalkaya M, Akay O, Taşlialan G. Design and analysis of active vehicle suspension using gramian matrix based LQG control. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2024;30(7):869-76.





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