Abstract
Many studies have shown the importance of automotive suspension systems in vehicle dynamics, see for instance [10], [26], [33] and references therein. Except for passive suspensions whose characteristics are invariant, the semi-active and active suspensions can change their properties by using controlled external signals (voltage, current...). This is why the latter suspensions have been studied intensively in recent years. However, up to now, only the semi-active suspensions are used widely in automotive industry. Indeed, compared with fully active suspensions, semi-active ones can achieve the main performance objectives (see [17], [27]) while they are smaller in weight and volume, cheaper in price, more robust and less energy consuming (see also [9], [10], [16], [19]).
So far, the control problem for semi-active suspensions has been tackled with many approaches during the last three decades. One of the first comfort-oriented control methods, successfully applied in commercial vehicles, is the Skyhook control proposed by Karnopp et al. [18]. Then, optimal control [12], [34], clipped optimal control [24], [36], [11], H ∞ control [30], [31] or Model Predictive Control [4], [28] have been considered. Recently, two new control design methods for semiactive suspensions using the LPV techniques have been presented. The first one, proposed in [29], can be applied for all kinds of semi-active dampers where only the bounds on damping coefficients and on the damper forces are necessary for the controller design. In the other one, proposed in [7], the nonlinearities of the semi-active damper (the bi-viscosity and the hysteresis) are taken into consideration. The comparison of these two recent LPV-based techniques on a nonlinear Magneto-Rheological (MR) damper model is proposed this chapter.
The chapter is organized as follows: In section I, a brief bibliography concerning the modelling of semi-active dampers is given and two specific control-oriented models are detailed and will be used for the synthesis of the LPV controllers. In section II, the control problem of automotive suspension control is formulated in a common way so that the methods proposed in [29] (section III) and [7] (section IV) can be applied. Section V is devoted to numerical simulations on a nonlinear quarter car model. Some remarks and conclusions end this chapter.
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References
Apkarian, P., Gahinet, P.: A convex characterization of gain scheduled \(\mathcal{H}_\infty\) controllers. IEEE Transaction on Automatic Control 40(5), 853–864 (1995)
Aubouet, S.: Modélisation et commande de suspensions semi-actives soben. PhD thesis, INPG, GIPSA-lab, Grenoble, France (2010) (in English)
Bouc, R.: Forced vibration of mechanical systems with hysteresis. In: Proceedings of the Fourth Conference on Nonlinear Oscillation, Prague, Czechoslovakia, p. 315 (1967)
Canale, M., Milanese, M., Novara, C.: Semi-active suspension control using fast model-predictive techniques. IEEE Transaction on Control System Technology 14(6), 1034–1046 (2006)
Do, A.L., Lozoya-Santos, J., Sename, O., Dugard, L., Ramirez-Mendoza, R.A., Morales-Menendez, R.: Modélisation et commande LPV d’un amortisseur magnéto-rhéologique. In: Proceedings de la Conference Internationale Francophone d’Automatique, Nancy, France (2010)
Do, A.L., Sename, O., Dugard, L.: An LPV control approach for semi-active suspension control with actuator constraints. In: Proceedings of the IEEE American Control Conference (ACC), Baltimore, Maryland, USA (2010)
Do, A.L., Sename, O., Dugard, L.: LPV modelling and control of semi-active dampers in automotive systems. In: Mohammadpour, C.S. (ed.) Control of Linear Parameter Varying Systems with Applications, ch. 15. Springer (2012)
Do, A.L., Spelta, C., Savaresi, S., Sename, O., Dugard, L., Delvecchio, D.: An LPV control approach for comfort and suspension travel improvements of semi-active suspension systems. In: Proceedings of the 49th IEEE Conference on Decision and Control (CDC), Atlanta, GA, pp. 5660–5665 (2010)
Fialho, I., Balas, G.: Road adaptive active suspension design using linear parameter varying gain scheduling. IEEE Transaction on Control System Technology 10(1), 43–54 (2002)
Gillespie, T.D.: Fundamentals of Vehicle Dynamics. Society of Automotive Engineers Inc. (1992)
Giorgetti, N., Bemporad, A., Tseng, H., Hrovat, D.: Hybrid model predictive control application toward optimal semi-active suspension. International Journal of Robust and Nonlinear Control 79(5), 521–533 (2006)
Giua, A., Melas, M., Seatzu, C., Usai, G.: Design of a predictive semiactive suspension system. Vehicle System Dynamics 41(4), 277–300 (2004)
Gomes da Silva Jr., J.M., Limon, D., Alamo, T., Camacho, E.F.: Dynamic output feedback for discrete-time systems under amplitude and rate actuator constraints. IEEE Transaction on Automatic Control 53(10), 2367–2372 (2008)
Grimm, G., Hatfield, J., Postlethwaite, I., Teel, A., Turner, M., Zaccarian, L.: Antiwindup for stable linear systems with input saturation: An LMI-based synthesis. IEEE Transaction on Automatic Control 48(9), 1509–1525 (2003)
Guo, S., Yang, S., Pan, C.: Dynamic modeling of magnetorheological damper behaviors. Journal of Intelligent Material Systems and Structures 17, 3–14 (2006)
Hrovat, D.: Survey of advanced suspension developments and related optimal control application. Automatica 33(10), 1781–1817 (1997)
Ivers, D.E., Miller, L.R.: Experimental comparison of passive, semi-active on-off, and semi-active continuous suspensions. SAE Technical Paper 892484 (1989)
Karnopp, D., Crosby, M., Harwood, R.: Vibration control using semi-active force generators. Journal of Engineering for Industry 96, 619–626 (1974)
Kiencke, U., Nielsen, L.: Automotive Control Systems for Engine, Driveline, and Vehicle. Springer (2000)
Kothare, M.V., Campo, P.J., Morari, M., Nett, C.N.: A unified framework for the study of anti-windup designs. Automatica 30, 1869–1883 (1994)
Lozoya-Santos, J.J., Aubouet, S., Morales-Menendez, R., Sename, O., Ramirez-Mendoza, R.A., Dugard, L.: Simulation performance of a quarter of vehicle including an MR damper model with hysteresis. In: 7th Eurosim Congress on Modelling and Identification, Prague, Czech Republic (2010)
Lozoya-Santos, J.J., Morales-Menendez, R., Ramirez-Mendoza, R.A., Nino-Juarez, E.: Frequency and current effects in an MR damper. Int. J. Vehicle Autonomous Systems 7(3/4), 121–140 (2009)
Lozoya-Santos, J.J., Ruiz-Cabrera, J.A., Morales-Menéndez, R., Ramírez-Mendoza, R., Diaz-Salas, V.: Building training patterns for modelling MR dampers. In: ICINCO-SPSMC, pp. 156–161 (2009)
Lu, J., DePoyster, M.: Multiobjective optimal suspension control to achieve integrated ride and handling performance. IEEE Transaction on Control System Technology 10(6), 807–821 (2002)
Mulder, E.F., Tiwari, P.Y., Kothare, M.V.: Simultaneous linear and anti-windup controller synthesis using multiobjective convex optimization. Automatica 45, 805–811 (2009)
Pacejka, H.: Tyre and Vehicle Dynamics. Butterworth Heinemann (2005)
Patten, W.N., He, Q., Kuo, C.C., Liu, L., Sack, R.L.: Suppression of vehicle induced bridge vibration via hydraulic semi-active vibration dampers. In: Proceeding of the 1st World Conference on Structural Control, vol. 3, pp. 30–38 (1994)
Poussot-Vassal, C., Savaresi, S.M., Spelta, C., Sename, O., Dugard, L.: A methodology for optimal semi-active suspension systems performance evaluation. In: 2010 49th IEEE Conference on Decision and Control (CDC), pp. 2892–2897 (2010)
Poussot-Vassal, C., Sename, O., Dugard, L., Gáspár, P., Szabó, Z., Bokor, J.: New semi-active suspension control strategy through LPV technique. Control Engineering Practice 16(12), 1519–1534 (2008)
Rossi, C., Lucente, G.: \(\mathcal{H}_\infty\) control of automotive semi-active suspensions. In: Proceedings of the 1st IFAC Symposium on Advances in Automotive Control (AAC), Salerno, Italy (2004)
Sammier, D., Sename, O., Dugard, L.: Skyhook and \(\mathcal{H}_\infty\) control of active vehicle suspensions: some practical aspects. Vehicle System Dynamics 39(4), 279–308 (2003)
Savaresi, S., Bittanti, S., Montiglio, M.: Identification of semi-physical and black-box models: the case of MR-dampers for vehicles control. Automatica 41, 113–117 (2005)
Savaresi, S., Poussot-Vassal, C., Spelta, C., Sename, O., Dugard, L.: Semi-Active Suspension Control for Vehicles. Elsevier, London (2010) 978-0-08-096678-6
Savaresi, S., Silani, E., Bittanti, S.: Acceleration driven damper (ADD): an optimal control algorithm for comfort oriented semi-active suspensions. ASME Transactions: Journal of Dynamic Systems, Measurements and Control 127(2), 218–229 (2005)
Scherer, C., Gahinet, P., Chilali, M.: Multiobjective output-feedback control via LMI optimization. IEEE Transaction on Automatic Control 42(7), 896–911 (1997)
Tseng, H., Hedrick, J.: Semi-active control laws - optimal and sub-optimal. Vehicle System Dynamics 23(1), 545–569 (1994)
Wen, T.: Method for random vibration of hysteretic systems. Journal of Engineering Mechanics, ASCE 102(EM2), 249–263 (1976)
Wu, F., Grigoriadis, K.M., Packard, A.: Anti-windup controller design using linear parameter-varying control methods. International Journal of Control 73(12), 1104–1114 (2000)
Zin, A.: Robust automotive suspension control toward global chassis control. PhD thesis, INPG, Laboratoire d’Automatique de Grenoble (new GIPSA-lab), Grenoble, France (2005) (in French)
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Do, AL., Poussot-Vassal, C., Sename, O., Dugard, L. (2013). LPV Control Approaches in View of Comfort Improvement of Automotive Suspensions Equipped with MR Dampers. In: Sename, O., Gaspar, P., Bokor, J. (eds) Robust Control and Linear Parameter Varying Approaches. Lecture Notes in Control and Information Sciences, vol 437. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36110-4_7
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