Theoretical Foundations of Optimal Two-Step Control of Suspension Stiffness of Transport Vehicle in Oscillation Cycle

K. V. Chernyshov, I. M. Ryabov, A. V. Pozdeev

Abstract


The article dwells upon the issues of control of suspension stiffness of transport vehicle in oscillation cycle. This article describes the methods of stiffness change of suspension and identifies two principal schemes of two-step stiffness change of suspension: a suspension with constant step stiffness and a suspension with variable step stiffness. Mathematical models of suspensions with a two-step stiffness control in a single mass oscillating system have been developed for each of the two principal schemes of stiffness control. Having employed the maximum principle of L.S. Pontriagin, the algorithms for the optimal suspension stiffness control have been determined. In particular, it has been found that when the oscillating system is unbalanced with the subsequent absence of the external force and kinematic action, any stiffness switching, even chaotic one, results in a decrease in the motion amplitudes of the sprung mass and oscillation damping. The optimal control algorithm in case of kinematic disturbance of the oscillating system is an algorithm at which the activation of suspension step with a higher stiffness occurs during the change in direction of suspension deformation. and the system switches to the lower stiffness during the change in direction of motion of the sprung mass

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Fitilev B.N., Averyanov G.S., Belkov V.N. Pnevmaticheskaya podveska [Air suspension], A.S. 8442295, USSR, 3 MKI F 16 F 9/04, no. 2806835/25. Bull no.24. (in Russ.)

Gustomyakov A.N. Analysis of the oscillatory suspension system of a car with a discrete change in stiffness [Analiz kolebatel'noy sistemy podveski avtomobilya s diskretnym izmeneniem zhestkosti], Izvestia vuzov, Moscow, Mashinostroenie, 1978, no.5, pp. 187-188. (in Russ.)

Yoshimura T., Takagi A. Pneumatic active suspension system for a one-wheel car model using fuzzy reasoning and a disturbance observer, Journal of Zhejiang University SCIENCE, 2004, vol. 5(9), pp. 1060-1068. DOI: 10.1631/jzus.2004.10

Gneusheva E.M., Fominova O.V., Chernyshev V.I. Dynamic properties of vibroprotective systems with an additional elastic-damping link of intermittent action [Dinamicheskie svoystva vibrozashchitnykh sistem s dopolnitel'nym uprugodempfiruyushchim zvenom preryvistogo deystviya], Spravochnik. Inzhenernyy zhurnal [HANDBOOK. An Engineering journal with appendix], 2006, no.6, pp. 59-64. (in Russ.)

Kalashnikov B.A. Sistemy amortizatsii ob''ektov s diskretnoy kommutatsiey uprugikh elementov: monografiya [Systems of depreciation of objects with discrete switching of elastic elements: a monograph], Omsk, OmGTU, 2008, 344 p. (in Russ.)

Fitilev B.N., Komochkov V.A., Pozdeev A.V. To calculate the characteristics of a pneumatic element with air damping [K raschetu kharakteristik pnevmoelementa s vozdushnym dempfirovaniem], Progress transportnykh sredstv i sistem - 2009: mater. mezhdunar. n.-pr. konf. [Mater. international N.-pr. conf.: Progress of vehicles and systems – 2009, in 2 hours. Part 2], Volgograd, 2009, pp. 40-47. (in Russ.)

Khamitov R.N. Synthesis of the control system of a pulse electrodynamic valve of a pneumatic shock absorber [Sintez sistemy upravleniya impul'snym elektrodinamicheskim klapanom pnevmoamortizatora], Spravochnik. Inzhenernyy zhurnal [HANDBOOK. An Engineering journal with appendix], 2008, no.2, pp. 62-64. (in Russ.)

Khamitov R.N., Averyanov G.S., Korchagin A.B. Operational processes in a dual-chamber pneumatic shock absorber with rapid switching, Russian Engineering Research, 2009, vol. 29, no.10, pp. 974-978. DOI: 10.3103/S1068798X09100037

Chernyshov K.V., Pozdeev A.V., Novikov V.V., Ryabov I.M. Determination of optimal stiffness control of vehicle air suspension based [Opredelenie usloviy optimal'nogo regulirovaniya zhestkosti pnevmaticheskoy podveski ATS], Gruzovik & [Truck &], 2010, no.11, pp. 2-5. (in Russ.)

Novikov V.V, Pozdeev A.V. Determination of optimal control algorithms of actively managed air suspensions [Opredelenie optimal'nykh algoritmov regulirovaniya aktivno-upravlyaemykh pnevmopodvesok], Gruzovik & [Truck &], 2010, no.5, pp. 6-10. (in Russ.)

Podzorov A.V., Gobotsov A.S., Lyashenko M.V. The mathematical model of the controllable suspension system of the vehicle [Matematicheskaya model' upravlyaemoy sistemy podressorivaniya ATS], Avtomobil'naya promyshlen-nost' [Automotive industry], 2010, no.9, pp. 16-19. (in Russ.)

Pozdeev A.V., Novikov V.V., Chernyshov K.V., Ryabov I.M. Synthesis of vehicle suspension damping and stiffness optimal control algorithms [Sintez algoritmov optimal'nogo upravleniya dempfirovaniem i zhestkost'yu podveski ATS], Gruzovik & [Truck &], 2011, no.6, pp. 2-6. (in Russ.)

Dyakov A.S., Pozdeev A.V., Pokhlebin A.V. Optimal control of stiffness and damping of the PBX suspension based on the maximum principle L.S. Pontryagin [Optimal'noe upravlenie zhestkost'yu i dempfirovaniem podveski ATS na osnove printsipa maksimuma L.S. Pontryagina], Vestnik Akademii voennykh nauk [Bulletin of the Academy of Military Sciences], 2011, no.2 (special issue), pp. 132-139. (in Russ.)

Pozdeev A.V. Commutation of cavities as a way to increase the vibroprotective properties of dual-chamber pneumatic springs [Kommutatsiya polostey kak sposob povysheniya vibrozashchitnykh svoystv dvukhkamernykh pnevmaticheskikh ressor], Trudy: Nauchnye issledovaniya i ikh prakticheskoe primenenie. Sovremennoe sostoyanie i puti razvitiya `2011 [Proc. Scientific studies and their practical application. The current state and ways of development `2011], Odessa, 2011, pp. 40-48. (in Russ.)

Novikov V.V., Pozdeev A.V., Dyakov A.S., Karlov V.I., Cherkashina E.A. Pnevmaticheskaya podveska [Air suspension], Utility model of the Russian Federation No. 109698, IPC B 60 G 11/27, F 16 F 9/04, 2011. (in Russ.)

Ryabov I.M., Pozdeev A.V., Novikov V.V., Dyakov A.S., Chernyshov K.V. Podveska kolesa avtomobilya [Vehicle wheel suspension], Utility model of the Russian Federation No.1069697, IPC B 60 G 11/00. 2011. (in Russ.)

Pozdeev A.V., Novikov V.V., Dyakov A.S. et al. Reguliruemye pnevmaticheskie i pnevmogidravlicheskie ressory podvesok avtotransportnykh sredstv : monografiya [Adjustable pneumatic and pneumohydraulic springs of vehicle suspensions: monograph], Volgograd, 2013, 244 p. (in Russ.)

Pozdeev A.V., Dyakov A.S., Novikov V.V., Ryabov I.M. Self-adjustable dual-chamber pneumatic springs with volumes commutation [Samoreguliruemye dvukhkamernye pnevmaticheskie ressory s kommutatsiey polostey], Gruzovik & [Truck &], 2013, no.9, pp. 2-5. (in Russ.)

Pozdeev A.V., Dyakov A.S., Novikov V.V., Ryabov I.M. Research of an dual-chamber pneumatic spring with switching of cavities [Issledovaniya dvukhkamernoy pnevmaticheskoy ressory s kommutatsiey polostey], Gruzovik & [Truck &], 2013, no.1, pp. 35-37. (in Russ.)

Chernyshov K.V., Pozdeev A.V., Ryabov I.M. Mathematical substantiation of the algorithm for optimal control of the stiffness of an elastic element in a single-mass oscillatory system [Matematicheskoe obosnovanie algoritma optimal'nogo upravleniya zhestkost'yu uprugogo elementa v odnomassovoy kolebatel'noy sisteme], Izvestiya VolgGTU. Seriya "Nazemnye transportnye sistemy" [News of VolgGTU. A series of "Land Transport Systems"], Volgograd, 2013, vol. 6, no.10 (113), pp. 38-42. (in Russ.)

Pozdeev A.V. Vibro-protecting two-cavity pneumatic springs properties determined on the basis of cavity commutation optimal algorithms synthesis [Vibrozashchitnye svoystva dvukhpolostnykh pnevmaticheskikh ressor na osnove sinteza optimal'nykh algoritmov kommutatsii polostey], Tekhnologiya kolesnykh i gusenichnykh mashin [Wheel and Tracked Technology], 2015, no.1, pp. 27-31. (in Russ.)

Pontryagin L.S., Boltyansky V.G., Gamkrelidze R.V., Mishchenko E.F. Matematicheskaya teoriya optimal'nykh protsessov [Mathematical theory of optimal processes], Moscow, Science, 1976, 392 p.

Chernyshov K.V., Novikov V.V., Ryabov I.M. Determination of conditions for optimal control of the damping of a PBX suspension based on the maximum principle L. S. Pontryagin [Opredelenie usloviy optimal'nogo upravleniya dempfirovaniem podveski ATS na osnove printsipa maksimuma L. S. Pontryagina], Traktory i sel'skokhozyaystvennye mashiny [Tractors and agricultural machines], Moscow, Mashinostroenie, 2006, no.2, P. 13-15.




DOI: http://dx.doi.org/10.24892/RIJIE/20180202

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