Stability analysis of semi-active inerter-spring-damper suspensions based on time-delay
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School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang, China
Automotive Engineering Research Institute, Jiangsu University, Zhenjiang, China
Submission date: 2018-08-08
Acceptance date: 2019-10-19
Online publication date: 2020-07-15
Publication date: 2020-07-15
Journal of Theoretical and Applied Mechanics 2020;58(3):599-610
To analyze the variation rule of the critical instability time-delay of the semi-active ISD suspension, a general solution was proposed and applied into two three-element-structure ISD suspensions. The dynamical response and the performance of the semi-active ISD suspension in various time-delays indicated that different structures had different suspension performance. The time-delay deteriorated the performance of all of the suspensions which were analyzed. The stability of the semi-active ISD suspension would seriously weaken with the critical time-delay. This paper provided a general solution for parameters selection in semi-active ISD suspension design to avoid the negative effect of the time-delay.
Babister A.W., 1957, Stability and response of systems satisfying a second-order linear differentia equation with time-dependent coefficients, Aeronautical Quarterly, 8, 78-86.
Chen L., Liu C., Liu W., Nie J., Shen Y., Chen G., 2017, Network synthesis and parameter optimization for vehicle suspension with inerter, Advances in Mechanical Engineering, 9, 1, 1-7.
Chen L., Yang X., Wang R., Huang C., Shen Y., 2014, A study on the performances of vehicle passive suspension with modified inerter-spring-damper three-element structure, Automotive Engineering, 36, 3, 340-345.
Chen M.Z.Q., Hu Y., Du B., 2012, Suspension performance with one damper and one inerter, Control and Decision Conference (CCDC), 2012 24th Chinese, IEEE, 3534-3539.
Chen M.Z.Q., Hu Y., Li C., Chen G., 2016, Application of semi-active inerter in semi-active suspensions via force tracking, Journal of Vibration and Acoustics, 138, 4.
Chen M.Z.Q., Smith M.C., 2015, Mechanical networks comprising one damper and one inerter, Control Conference, IEEE, 4917-4924.
Eller D., Aggarwal J., Banks H., 1969, Optimal control of linear time-delay systems, IEEE Transactions on Automatic Control, 14, 6, 678-687.
Estrada A., Efimov D., Perruquetti W., 2014, Position and velocity estimation through acceleration measurements, IFAC Proceedings Volumes, 47, 3, 6460-6465.
Fu P., Chen J., Niculescu S.I., 2007, High-order analysis of critical stability properties of linear time-delay systems, American Control Conference, IEEE, 4921-4926.
Gonzalez-Buelga A., Clare L.R., Neild S.A., Jiang J. Z., Inman D. J., 2015, An electromagnetic inerter-based vibration suppression device, Smart Material Structures, 24, 5.
Grigoryan G.A., 2015, On the stability of systems of two first-order linear ordinary differentia equations, Differential Equations, 51, 3, 283-292.
Han S.Y., Zhang C.H., Tang G.Y., 2017, Approximation optimal vibration for networked nonlinear vehicle active suspension with actuator time delay, Asian Journal of Control, 19, 3.
Hu Y., Chen M.Z.Q., Xu S., Liu Y., 2016, Semiactive inerter and its application in adaptive tuned vibration absorbers, IEEE Transactions on Control Systems Technology, 25, 1, 294-300.
Hu Y., Wang K., Chen Y., Chen M. Z. Q., 2018, Inerter-based semi-active suspensions with low-order mechanical admittance via network synthesis, Transactions of the Institute of Measurement and Control, 40, 15, 4233-4245
Jiang J.Z., Smith M.C., 2015, Regular positive-real functions and passive networks comprising two reactive elements, Control Conference, IEEE, 2015, 219-224.
Kęcik K, Warmiński J., 2011, Dynamics of an autoparametric pendulum-like system with a nonlinear semiactive suspension, Mathematical Problems in Engineering, 725, 34-35.
Qin Y.-X., Liu Y.-Q., Wang L., 1989, Stable Dynamical Systems with Time Delays, 2nd ed., BeiJing, Science Press.
Sapiński B., 2005, Fuzzy control for MR damper in a driver’s seat suspension, Journal of Theoretical and Applied Mechanics, 43, 1, 179-201.
Shen Y., Chen L., Liu Y., Zhang X., 2015, Analysis of vibration transfer characteristics of vehicle suspension system employing inerter, Journal of Theoretical and Applied Mechanics, 55, 4, 1245-1256.
Sipahi R., Olgac N., 2006a, Stability map of systems with three independent delays, 2006 American Control Conference, IEEE, DOI: 10.1109/ACC.2006.1656588.
Sipahi R., Olgac N., 2006b, Stability robustness of retarded LTI systems with single delay and exhaustive determination of their imaginary spectra, SIAM Journal on Control and Optimization, 45, 5, 1680-1696.
Smith M.C., 2002, Synthesis of mechanical networks: the inerter, IEEE Transactions on Automatic Control, 47, 10, 1648-1662.
Strecker Z., MazůrekI., Roupec J., Klapka M., 2015, Influence of MR damper response time on semiactive suspension control efficiency, Meccanica, 50, 8, 1949-1959.
Sun X., Chen L., Jiang H., Yang Z., Chen J., Zhang W., 2016, High-performance control for a bearingless permanent-magnet synchronous motor using neural network inverse scheme plus internal model controllers, IEEE Transactions on Industrial Electronics, 63, 6, 3479-3488.
Vyhlidal T., Zitek P., 2009, Modification of Mikhaylov criterion for neutral time-delay systems, IEEE Transactions on Automatic Control, 54, 10, 2430-2435.
Wen Y., Zhou X.F., Zhang Z., Liu S., 2015, Lyapunov method for nonlinear fractional differentia systems with delay, Nonlinear Dynamics, 82, 1-2, 1015-1025.
Yin X., Zhang L., Zhu Y., Wang C., Li Z., 2016, Robust control of networked systems with variable communication capabilities and application to a semi-active suspension system, IEEE/ASME Transactions on Mechatronics, 21, 4, 2097-2107.
Yu F., Lin Y., 2005, Vehicle System Dynamics, Beijing, China Machine Press.
Zuo L., Slotine J.J.E., 2005, Robust vibration isolation via frequency-shaped sliding control and modal decomposition, Journal of Sound and Vibration, 285, 4, 1123-1149.
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