Autors: Genov, J. A., Kralov, I. M.
Title: A Linear Quadratic Regulator Synthesis for a Semi-Active Vehicle Suspension Part 2 – Multi-objective synthesis
Keywords: -

Abstract: In the first part of the paper the dynamic model of the system is given, and all necessary for the control law synthesis characteristics are obtained - the state variables and excitations, at the semi-active implementation of a vehicle's suspension. The examined model represented the vehicle's dynamics in the vertical plane - the so-called "Half car model". Due to the contradiction of the requirements imposed by the syntheses criteria - good ride comfort and on-road vehicle's stability in this second part a multi-objective optimal control is proposed realized by a linear quadratic regulator, combined with a compensator for the input excitation. The solution is found as a sustainable Nash strategy in the context of the Game's Theory. The controllable vibroisolation elements are magneto-rheological (MR) dampers. After taking into account their physical characteristics, it becomes clear that to the regulator, the damper's inverse-models also should be included, realized through an artifi

References

  1. H. Kwakernnaak R. Sivan, Linear Optimal Control Systems, (Wiley Interscience 1972), p.595
  2. H. Schwarz, Optimale Regelung Linearer Systeme Theor. und Exp. Methoden der Regelungstechnik, (Bd.12, Verlag: Mannheim, Wien, Zurich: Bibl. Inst., 1976), p.242
  3. O. Anderson and J. Moore Optimal Control Linear Quadratic Methods (Prentice-Hall International Canberra, Australia, 1989) p.394
  4. L. Hocking, Optimal Control: An introduction to the theory and applications, (Oxford: Clarendon press, 1991), p.272
  5. R. Stengel, Optimal Control and Estimation, (Dover Publ. Inc. N.Y., 1994), p.669
  6. D. Naidu, Optimal Control Systems (CRC Press LLC, USA, 2003), p.460
  7. P. Pakshin and D. Peaucelle, “LQR parametrization of static output feedback gains for linear systems with Markovian switching and related robust stabilization” in Proc. of 48th IEEE Conf. on Decision and Control Shanghai, P. R. China, (2009) pp.1157–1162
  8. D. Bertsekas, Dynamic Programming and Optimal Control, Vol. I and II 4th edit., (Prentice Hall, 2012)
  9. R. Weber, Optimization and control, (Cambridge press, 2016), p.75
  10. H. Taghirad, E. Esmailzadeh “Automobile passenger comfort assured through Lqg/Lqr active suspension” J. Vibration and Control 4 (1997), pp.603–618
  11. T. Shono, N. Nagasaka, M. Nishi, Y. Takagi, “Multy-mode control for a active isolation system with an elastic table”, JSME Int. Jour. Ser. C 46(3), (2003), pp.835–840
  12. H.-Ch. Sonh, K.-T. Hong, K.-Sh. Hong and W.-S. Yoo, An adaptive LQG control for semi-active suspension system, Int. J. Vehicle Design 34(4), (2004), pp.309–326
  13. G. Mastinu, M. Gobbi, C. Miano, Optimal Design of Complex Mechanical Systems. With Applications to Vehicle Engineering, (Springer-Verlag Berlin Heidelberg 2006), p.392
  14. Nguyen T.-A., “Application of Optimization Methods to Controller Design for Active Suspensions”, PhD Dissertation TU Cottbus, (2006), p.152;
  15. L. Imsland, T. Johansen, H. Grip, On nonlinear unknown input observers applied to lateral vehicle velocity estimation on banked roads, Int. J. of Control 80, (2007), pp.1741–1750
  16. A. Shirahatti, P. Prasad, P. Panzade, M. Kulkarn, Optimal design of passenger car suspension for ride and road holding, J. Braz. Soc. of Mech. Sci. & Eng. 30 (2008) pp.66–76
  17. A. Preumont, Vibration Control of Active Structures an Introduction, (Springer 2011) p.453
  18. Hs. Huang, Controller Design for Stability and Rollover Prevention of Multi-Body Ground Vehicles with Uncertain Dynamics and Faults, PhD Thesis, The Ohio State Univ., (2009), p.125
  19. B. Creed, N. Kahawatte and S. Varnhagen, Design of an LQR control strategy for implementation on a vehicular active suspension system, (MAE 2010), pp.272-279
  20. B. Németh and P. Gáspár Model-based LQ control design of integrated vehicle tracking systems Transportation Engineering 39(2), (2011), pp.77–81
  21. A. Jahromi, W. Xie and R. Bhat, Ride control of passenger cars with semiactive suspension system using a linear quadratic regulator and hybrid optimization algorithm, Int. J. Mechanical and Mechatronics Engineering 6(7), (2012), pp.1280–1286
  22. K. Rao and S. Kumar, “Modeling and simulation of quarter car semi active suspension system using LQR controller”, in Proc. 3rd Int. Conf. Frontiers of Intelligent Computing: Theory and Applications (2014), pp.441–448
  23. K. Rao and K. Pavani, Modelling and vibration control of suspension system for automobiles using LQR and PID controllers, IJLTEMAS (2015), pp.64–68
  24. Th. Nguyen, V. Vu, M. Dao, P. Gaspar, M. András and Tr. Ha, Using the LQR control method on the active suspension system of automobiles, in Proc. 10th Nat. Conf. on Mechanics and the 8th Nat. Cong. of the VAM (Ha Noi, Viet Nam 2017), p.9
  25. V. Maurya and N. Bhangal, Optimal control of vehicle active suspension system, J. Automation and Control Engineering 6(1) (2018),pp.22–26
  26. V. Pareto, Cours D’économie Politique Tome Premier, F. Rouge, Éditeur, (1896), p.438,
  27. J. Nash, Non-cooperative Games, PhD Thesis Princeton University, (1950), p.32,
  28. A. Pisarev, B. Belnikolovski, Optimal dynamical synthesis of three mass aggregate with elastic cardan shafts, STU of ME, ( in Bulgarian 1974)
  29. B. Аbuid, I. Iordanov, B. Belnikolovsk, Optimal dynamic synthesis for the design of а mechanism with single stage spur gears. J. of Theoreticаl аnd аpplied Mechаnics 3, Sofiа, (1995)
  30. B. Belnikolovski, I. Jordanov, N. Nikolov, Computer aided optimal design of elastic suspended presses, Journal of Theoretical and Applied Mechanics, Sofia, 25, No. 3, (1995), рр.52-61
  31. B. Cheshankov, B. Belnikolovski, I. Jordanov, Multicriteria optimization of a machine aggregate with single stage spur gears, in Proc. of Sixth conference on nonlinear Vibrations, Stability and Dynamic of Structures, Virginia Polytechnic Institute and State University, (1996).
  32. B. Cheshankov, B. Belnikolovski, I. Jordanov, Multicriteria optimization of a machine aggregate with single stage spur gears. Proceedings of the 1st International Conference on Control of Oscillations and Chaos, St. Petersburg, Sec. A, (1997), рр. 267-270
  33. B. Vroemen and B. de Jager, “Multiobjective Control: An Overview,” in Proc. 36th IEEE Conf. Decision and Control (CDC’97), San Diego, Californnia, (1997), pp. 440–445
  34. B. Belnikolovski, Dynamics of gears with straight teeth, DSc Dissertation, TU-Sofia, ( in Bulgarian 1998)
  35. B. Belnikolovski, Optimal dynamic synthesis for the design of а mechanism with two stage spur gears. XXV National seminar of Dynamic of mechanical systems, Varna, ( in Bulgarian 1998)
  36. K. Miettinen, Nonlinear Multiobjective Optimization, Kluwer Academic Publisher, (1999), p.161
  37. G. Liu, J. Yang, J. Whidborne, Multiobjective Optimization and Control, Research Studies Press LTD, GB, (2003), p.330
  38. J. Jahn, Vector Optimization Theory, Applications, and Extension second Edition, Springer-Verlag Berlin Heidelberg (2011), p.497
  39. J. Genov, S. Tashkov, G. Venkov, “On the Synthesis of Optimal and Quazi-optimal Control of Semi-Active insulation System”, in 35th Int. Conf. Appl. of Math. in Eng. and Economics - AMEE‐2009, (AIP Conference Proceedings 1184 2009), pp. 32-38.
  40. J. Genov and I. Kralov, A Linear Quadratic Regulator Synthesis for a Semi-Active Vehicle Suspension Part1 - Modeling of the Dynamical System, in BULTRANS 2019, IoP Conference Proceedings
  41. A. Ralston and Ph. Rabinowitz, A First Course in Numerical Analysis, Dover Books on Mathematics, p.624, (2001)
  42. International Organization for Standardization, ISO 2631-1 AMD 1: Mechanical vibration and shock — Evaluation of human exposure to whole-body vibration - Part 1: General requirements AMENDMENT 1, International Organization of Standardization, Switzerland, p.40, (2010);
  43. J. von Neumann and O. Morgenstern, Theory of games and economic behavior - Third edit., London: Geoffrey Cumberlege Oxford Univ. Press, p.641, (1953)

Issue

Proceedings of the 45th International Conference on Application of Mathematics in Engineering and Economics (AMEE’19), issue 1100, pp. 1-9, 2019, Bulgaria, Published by AIP Publishing. 978-0-7354-1919-3/$30.00, AIP Conf. Proc. 2172, 110007-1–110007-9; https://doi.org/10.1063/1.5133610

Цитирания (Citation/s):
1. Basargan, H; Jenis, F; (...); Gaspar, P, Fault-tolerant control of semi-active suspension in case of oil leakage of magnetorheological damper, European Control Conference (ECC) 2023 | 2023 EUROPEAN CONTROL CONFERENCE, ECC - 2023 - в издания, индексирани в Scopus или Web of Science

Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus и Web of Science