×

Novel optimal design approach for output-feedback \(\mathrm{H}_\infty\) control of vehicle active seat-suspension system. (English) Zbl 07872591

Summary: In this paper, the output-feedback control problem of a vehicle active seat-suspension system is investigated. A novel optimal design approach for an output-feedback \(\mathrm{H}_\infty\) controller is proposed. The main objective of the controller is to minimize the seat vertical acceleration to improve vehicle ride comfort. First, the human body and the seat are considered in the modeling of a vehicle active suspension system, which makes the model more precise. Other constraints, such as tire deflection, suspension deflection and actuator saturation, are also considered. Then the output-feedback control strategy is adopted since some state variables, such as body acceleration and body deflection, are unavailable. A concise and effective approach for an output-feedback \(\mathrm{H}_\infty\) optimal control is presented. The desired controller is obtained by solving the corresponding linear matrix inequalities (LMIs) and by the calculation of equations proposed in this paper. Finally, a numerical example is presented to show the effectiveness and advantages of the proposed controller design approach.
© 2018 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd

MSC:

93-XX Systems theory; control
Full Text: DOI

References:

[1] Pan, H. H., W. C.Sun, H. J.Gao, T.Hayat, and F.Alsaadi, “Nonlinear tracking control based on extended state observer for vehicle active suspensions with performance constraints,” Mechatronics, Vol. 30, pp. 363-370 (2015).
[2] Mao, Z. H., Y.Wang, B.Jiang, and G.Tao, “Fault diagnosis for a class of active suspension systems with dynamic actuators” faults,” Int. J. Control, Autom. Syst., Vol. 14, No. 5, pp. 1160-1172 (2016).
[3] Ashari, A. E., “Sliding‐mode control of active suspension systems: Unit vector approach,” IEEE Int. Conf. Control Applicat., Vol. 1, No. 1, pp. 370-375 (2005).
[4] Sam, Y. M., and J. H. S. B.Osman, “Modeling and control of the active suspension system using proportional integral sliding mode approach,” Asian J. Control, Vol. 7, No. 2, pp. 91-98 (2005).
[5] Choi, S. B., and Y. M.Han, “Vibration control of electrorheological seat suspension with human‐body model using sliding mode control,” J. Sound Vibr., Vol. 303, No. 1, pp. 391-404 (2007).
[6] Deshpande, V. S., B.Mohan, P. D.Shendge, and S. B.Phadke, “Disturbance observer based sliding mode control of active suspension systems,” J. Sound Vibr., Vol. 333, No. 11, pp. 2281-2296 (2014).
[7] Duan, W. J., D. Y.Wang, and C. R.Liu, “Integral sliding mode fault‐tolerant control for spacecraft with uncertainties and saturation,” Asian J. Control, Vol. 19, No. 1, pp. 372-381 (2017). · Zbl 1357.93026
[8] Sun, L., and Z. W.Zheng, “Finite‐time sliding mode trajectory tracking control of uncertain mechanical systems,” Asian J. Control, Vol. 19, No. 1, pp. 399-404 (2017). · Zbl 1357.93025
[9] Sun, W., Z.Zhao, and H.Gao, “Saturated adaptive robust control for active suspension systems,” IEEE Trans. Ind. Electron., Vol. 60, No. 9, pp. 3889-3896 (2013).
[10] Sun, W., H.Gao, and O.Kaynak, “Adaptive back stepping control for active suspension systems with hard constraints,” IEEE/ASME Trans. Mechatron., Vol. 18, No. 3, pp. 1072-1079 (2013).
[11] Huang, Y. B., J.Na, X.Wu, X. Q.Liu, and Y.Guo, “Adaptive control of nonlinear uncertain active suspension systems with prescribed performance,” ISA Trans., Vol. 54, No. 1, pp. 145-155 (2015).
[12] Sung, K. G., Y. M.Han, J. W.Cho, and S. B.Choi, “Vibration control of vehicle ER suspension system using fuzzy moving sliding mode controller,” J. Sound Vibr., Vol. 311, No. 3, pp. 1004-1019 (2008).
[13] Lin, J., and R. J.Lian, “Intelligent control of active suspension systems,” IEEE Trans. Ind. Electron., Vol. 58, No. 2, pp. 618-628 (2011).
[14] Sheng, H., W.Huang, T.Zhang, and X.Huang, “Active/passive hybrid control system for compressor surge based on fuzzy logic,” J. Eng. Gas Turbines Power, Vol. 136, No. 9, pp. 092601 (2014).
[15] Bououden, S., M.Chadli, and H. R.Karimi, “A robust predictive control design for nonlinear active suspension systems,” Asian J. Control, Vol. 18, No. 1, pp. 122-132 (2016). · Zbl 1338.93147
[16] Wang, R., H.Jing, H. R.Karimi, and N.Chen, “Robust fault‐tolerant H_∞ control of active suspension systems with finite‐frequency constraint,” Mech. Syst. Signal Proc., Vol. 62‐63, pp. 341-355 (2015).
[17] Sakthivel, R., A.Arunkumar, K.Mathiyalagan, and S.Selvi, “Robust reliable control for uncertain vehicle suspension systems with input delays,” J. Dyn. Syst., Meas., Control, Vol. 137, No. 4, No. 041013, pp. 1-13 (2015).
[18] Choi, H. D., C. K.Ahn, M. T.Lim, and M. K.Song, “Dynamic output‐feedback H_∞ control for active half‐vehicle suspension systems with time‐varying input delay,” Int. J. Control, Autom. Syst., Vol. 14, No. 1, pp. 59-68 (2016).
[19] Nourisola, H., and B.Ahmadi, “Robust adaptive H_∞ controller based on GA‐Wavelet‐SVM for nonlinear vehicle suspension with time delay actuator,” J. Vibr. Control., Vol. 22, No. 20, pp. 4111-4120 (2016). · Zbl 1373.93109
[20] Wu, J. L., “A simulations mixed LQR/H_∞ control approach to the design of reliable active suspension controllers,” Asian J. Control, Vol. 19, No. 2, pp. 415-427 (2017). · Zbl 1365.93165
[21] Jiang, X. S., X. M.Tian, T. L.Zhang, and W. H.Zhang, “Quadratic stabilizability and H_∞ control of linear discrete‐time stochastic uncertain systems,” Asian J. Control, Vol. 19, No. 1, pp. 35-46 (2017). · Zbl 1358.93180
[22] Badri, P., A.Amini, and M.Sojoodi, “Robust fixed‐order dynamic output feedback controller design for nonlinear uncertain suspension system,” Mech. Syst. Signal Proc., Vol. 80, pp. 137-151 (2016).
[23] Wang, G., C.Chen, and S.Yu, “Optimization and static output‐feedback control for half‐car active suspensions with constrained information,” J. Sound Vibr., Vol. 378, pp. 1-13 (2016).
[24] Xiao, L., and Y.Zhu, “Sliding‐mode output feedback control for active suspension with nonlinear actuator dynamics,” J. Vibr. Control., Vol. 21, No. 14, pp. 2721-2738 (2015). · Zbl 1349.93171
[25] Zhang, X. Y., J. H.Zhong, Q.Zhang, and K. M.Ma, “Robust finite‐time H_∞ control of a class of disturbed systems using LMI‐based approach,” Asian J. Control, Vol. 19, No. 2, pp. 575-586 (2017). · Zbl 1365.93154
[26] Xu, D. S., G. H.Sun, and W. C.Sun, “Fault‐tolerant finite frequency H_∞ control for uncertain mechanical system with input delay and constraint,” Asian J. Control, Vol. 19, No. 2, pp. 765-780 (2017). · Zbl 1365.93152
[27] Li, H., and A. R.Wei, “Stabilization and H_∞ control of nonlinear switched Hamiltonian systems subject to actuator saturation,” Asian J. Control, Vol. 19, No. 3, pp. 951-960 (2017). · Zbl 1366.93506
[28] You, F. Q., H.Li, F. L.Wang, and S. P.Guan, “Robust H_∞ filtering and deconvolution for continuous time delay systems based on game‐theoretic approach,” Asian J. Control, Vol. 18, No. 6, pp. 2180-2192 (2016). · Zbl 1354.93160
[29] Feng, Z. G., J.Lam, S. Y.Xu, and S. S.Zhou, “H_∞ control with transients for singular systems,” Asian J. Control, Vol. 18, No. 3, pp. 817-827 (2016). · Zbl 1348.93111
[30] Kuti, J., P.Galambos, and Á.Miklós, “Output feedback control of a dual‐excenter vibration actuator via qLPV model and TP model transformation,” Asian J. Control, Vol. 17, No. 2, pp. 432-442 (2015). · Zbl 1332.93045
[31] Gyurkovics, É., and T.Takács, “Robust dynamic output feedback guaranteed cost control for discrete‐time systems with time‐varying delays,” Asian J. Control, Vol. 17, No. 2, pp. 687-698 (2015). · Zbl 1332.93090
[32] Ding, B. C., C. B.Gao, and X. B.Ping, “Dynamic output feedback robust MPC using general polyhedral state bounds for the polytopic uncertain system with bounded disturbance,” Asian J. Control, Vol. 18, No. 2, pp. 699-708 (2016). · Zbl 1346.93161
[33] Li, H. C., Z. Q.Zuo, and Y. J.Wang, “Dynamic Output feedback control for systems subject to actuator saturation via event‐triggered scheme,” Asian J. Control, Vol. 20, No. 1, pp. 207-215 (2018). · Zbl 1391.93144
[34] Ilka, and V.Veselý, “Novel approach to switched controller design for linear continuous‐time systems,” Asian J. Control, Vol. 18, No. 4, pp. 1365-1375 (2016). · Zbl 1346.93203
[35] Wu, J. L., and S. H.Yang, “Mixed event/time‐triggered static output feedback L_2‐gain control for networked control systems,” Asian J. Control, Vol. 19, No. 1, pp. 1-10 (2017). · Zbl 1358.93082
[36] Li, J. L., “Design of H_∞ static output feedback control for discrete‐time systems with limited actuator,” Asian J. Control, Vol. 17, No. 1, pp. 284-296 (2015). · Zbl 1332.93109
[37] Feng, Z. Y., L.Xu, J. H.She, and X. X.Guo, “Optimization of coordinate transformation matrix for H_∞ static‐output‐feedback control of linear discrete‐time system,” Asian J. Control, Vol. 17, No. 2, pp. 604-614 (2015). · Zbl 1332.93105
[38] Zhang, H., R.Wang, J.Wang, and Y.Shi, “Robust finite frequency H_∞ static‐output‐feedback control with application to vibration active control of structural systems,” Mechatronics, Vol. 24, No. 4, pp. 354-366 (2014).
[39] Bakka, T., and H. R.Karimi, “H_∞ static output‐feedback control design with constrained information for offshore wind turbine system,” J. Frankl. Inst., Vol. 350, No. 8, pp. 2244-2260 (2013). · Zbl 1293.93345
[40] Li, H., X.Jing, and H.Karimi, “Output‐feedback‐based H_∞ control for vehicle suspension systems with control delay,” IEEE Trans. Ind. Electron., Vol. 61, No. 1, pp. 436-446 (2013).
[41] Yousef, H. A., M.Hamdy, and K.Nashed, “Adaptive fuzzy controller for a class of nonlinear systems with unknown backlash‐like hysteresis,” Int. J. Syst. Sci., Vol. 48, No. 12, pp. 2522-2533 (2017). · Zbl 1372.93132
[42] Hamdy, M., S.Abd‐Elhaleem, and M. A.Fkirin, “Time‐varying delay compensation for a class of nonlinear control systems over network via H_∞ adaptive fuzzy controller,” IEEE Trans. Syst., Man, Cybern. Syst., Vol. 47, No. 8, pp. 2114-2124 (2017).
[43] Zhai, D., A.Lu, J. X.Dong, and Q. L.Zhang, “Adaptive tracking control for a class of switched nonlinear systems under asynchronous switching,” IEEE Trans. Fuzzy Syst., Vol. PP, Vol. 99, pp. 1-1 (2017).
[44] Hamdy, M., S.Abd‐Elhaleem, and M. A.Fkirin, “Adaptive fuzzy predictive controller for a class of networked nonlinear systems with time‐varying delay,” IEEE Trans. Fuzzy Syst., Vol. PP, Vol. 99, pp. 1-1 (2017).
[45] Rubió‐Massegú, J., J. M.Rossell, H. R.Karimi, and F.Palacios‐Quiñonero, “Static output‐feedback control under information structure constraints,” Automatica, Vol. 49, No. 1, pp. 313-316 (2013). · Zbl 1257.93045
[46] Zhao, Y., W.Sun, and H.Gao, “Robust control synthesis for seat suspension systems with actuator saturation and time‐varying input delay,” J. Sound Vibr., Vol. 329, No. 21, pp. 4335-4353 (2010).
[47] Gao, H., Y.Zhao, and W.Sun, “Input‐delayed control of uncertain seat suspension systems with human‐body model,” IEEE Trans. Control Syst. Technol., Vol. 18, No. 3, pp. 591-601 (2010).
[48] Rizvi, S. M. H., M.Abid, A. Q.Khan, S. G.Satti, and J.Latif, “H_∞ control of 8 degrees of freedom vehicle active suspension system,” J. King Saud University - Eng. Sci., pp. 1-9 (2016).
[49] Gu, Z., S.Fei, Y.Zhao, and E.Tian, “Robust control of automotive active seat‐suspension system subject to actuator saturation,” J. Dynamic Syst., Meas., Control, Vol. 136, No. 4, pp. 041022 (2014).
[50] Jeung, E. T., and K. R.Lee, “Static output feedback control for continuous‐time T‐S fuzzy systems: An LMI approach,” Int. J. Control, Automation, Syst., Vol. 12, No. 3, pp. 703-708 (2014).
[51] Wei, L., and J.Griffin, “The prediction of seat transmissibility from measures of seat impedance,” J. Sound Vibr., Vol. 214, No. 1, pp. 121-137 (1998).
[52] Dullerud, G. E., and F.Paganini, A Course in Robust Control Theory, Springer, Berkley, CA (2014).
[53] Li, P., J.Lam, and K. C.Cheung, “Velocity‐dependent multi‐objective control of vehicle suspension with preview measurements,” Mechatronics, Vol. 24, No. 5, pp. 464-475 (2014).
[54] Li, P., J.Lam, and K. C.Cheung, “Multi‐objective control for active vehicle suspension with wheelbase preview,” J. Sound Vibr., Vol. 333, No. 21, pp. 5269-5282 (2014).
[55] Sun, W., H.Pan, Y.Zhang, and H. J.Gao, “Multi‐objective control for uncertain nonlinear active suspension systems,” Mechatronics, Vol. 24, No. 4, pp. 318-327 (2014).
[56] Liu, Y., and L.Zuo, “Mixed skyhook and power‐driven‐damper: a new low‐jerk semi‐active suspension control based on power flow analysis,” J. Dyn. Syst., Meas. Control, Vol. 138, No. 8, pp. 081009-081001(10) (2016).
[57] Chen, M., H.Long, L.Ju, and Y.Li, “Modeling and simulation of time domain model of stochastic pavement,” Mech. Eng. Autom., Vol. 4, No. 2, pp. 40-41 (2017).
[58] Dharankar, C. S., M. K.Hada, and S.Chandel, “Numerical generation of road profile through spectral description for simulation of vehicle suspension,” J. Brazilian Soc. Mech. Sci. Eng., Vol. 39, pp. 1957-1967 (2017).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.