On the Active Vibration Control of Nonlinear Uncertain Structures

[1]   Basu, B., Bursi, O.S., Casciati, F., Casciati, S., Del Grosso, A.E., Domaneschi, M., Faravelli, L., Holnicki-Szulc, J., Irschik, H., Krommer, M., Lepidi, M., Martelli, A., Ozturk, B., Pozo, F., Pujol, G., Rakicevic, Z., Rodellar, J., A European Association for the Control of Structures Joint Perspective. Recent Studies in Civil Structural Control across Europe, Structural Control and Health Monitoring, 21(12), 2014, 1414–1436.

[2]   Lagaros, N., Plevris, V., Mitropoulou, C., Passive control systems for seismic damage mitigation, Journal of Structural Engineering, 124(5), 1998, 501–512.

[3]   Soong, T.T., Masri, S.F., Housner, G.W., An overview of active structural control under seismic loads, Earthquake Spectra, 7(3), 1991, 483–505.

[4]   Casciati, F., Magonette. G., Marazzi, F. (Eds), Technology of Semiactive Devices and Applications in Vibration Mitigation, John Wiley & Sons, Chichester, 2006.

[5]   Corigliano, A., Mariani, S., Parameter identification in explicit structural dynamics: performance of the extended Kalman filter, Computer Methods in Applied Mechanics and Engineering, 193(36–38), 2004, 3807-3835.

[6]   Egardt, B., Stability of Adaptive Controllers, Springer-Verlag, New York, USA, 1979.

[7]   Guclu, R., Yazici, H., Vibration control of a structure with ATMD against earthquake using fuzzy logic controllers, Journal of Sound and Vibration, 318(1-2), 2008, 36–49.

[8]   Ashour, O.N., Nayfeh, A.H., Adaptive Control of Flexible Structures Using a Nonlinear Vibration Absorber, Nonlinear Dynamics, 28, 2002, 309–322.

[9]   Casciati, F., Rodellar, J., Yildirim, U., Active and semi-active control of structures - theory and applications: A review of recent advances, Journal of Intelligent Material Systems and Structures, 23(11), 2012, 1181-1195.

[10] Bitaraf M, Hurlebaus S., Semi-active adaptive control of seismically excited 20-story nonlinear building, Engineering Structures, 56, 2013, 2107–2118.

[11] Weber, F., Robust force tracking control scheme for MR dampers, Structural Control and Health Monitoring, 22(12), 2015, 1373–1395.

[12] Cetin S, Zergeroglu E, Sivrioglu S, Yuksek I., A new semiactive nonlinear adaptive controller for structures using MR damper: design and experimental validation, Nonlinear Dynamics, 66(4), 2011, 731–743.

[13] Naets, F., Pastorino, R., Cuadrado, J., Desmet, W., Online state and input force estimation for multibody models employing extended Kalman filtering, Multibody System Dynamics, 32, 2014, 317–336.

[14] Hoshiya, M., Saito, E., Structural Identification by Extended Kalman Filter, Journal of Engineering Mechanics, 110(12), 1984, 1757–1770.

[15] Chatzi, E.N., Smyth, A.W., Masri, S.F., Experimental application of on-line parametric identification for nonlinear hysteretic systems with model uncertainty, Journal of Structural Safety, 32(5), 2010, 326–337.

[16] Omrani, R., Hudson, R., Taciroglu, E., Parametric Identification of Nondegrading Hysteresis in a Laterally and Torsionally Coupled Building Using an Unscented Kalman Filter, Journal of Engineering Mechanics, 139(4), 2013, 452–468.

[17] Azam S.E., Bagherinia, M., Mariani, S., Stochastic system identification via particle and sigma-point Kalman filtering, Scientia Iranica, 19(4), 2012, 982-991.

[18] Arulampalam S, Maskell S, Gordon N, Clapp T., A tutorial on particle filters for on-line non-linear/non-Gaussian, Bayesian tracking, IEEE Transactions on Signal Processing, 50(2), 2002, 174–188.

[19] Azam, S.E., Ghisi, A., Mariani, S., Parallelized sigma-point Kalman filtering for structural dynamics, Computers and Structures, 92–93, 2002, 193-205.

[20] Julier, S.J., Uhlmann, J.K., New Extension of the Kalman Filter to Nonlinear Systems, Proceedings of SPIE 3068, Signal Processing, Sensor Fusion, and Target Recognition VI, 182–193, 1997.

[21] Merwe, R. Van Der, Wan, E., Sigma-point Kalman filters for integrated navigation, The Institute of Navigation, Oregon Health & Science University, 2004.

[22] Wu, M., Smyth, A.W., Application of the unscented Kalman filter for real-time nonlinear structural system identification, Structural Control and Health Monitoring, 14(7), 2007, 971–990.

[23] Mariani, S., Ghisi, A., Unscented Kalman filtering for nonlinear structural dynamics, Nonlinear Dynamics, 49(1-2), 2007, 131–150.

[24] Erazo, K., Nagarajaiah, S., Bayesian structural identification of a hysteretic negative stiffness earthquake protection system using unscented Kalman filtering, Structural Control and Health Monitoring, 25(9), 2018, e2203.

[25] Sen, D., Erazo, K., Nagarajaiah, S., Bayesian estimation of acoustic emissions source in plate structures using particle‐based stochastic filtering, Structural Control and Health Monitoring, 24(11), 2017, e2005.

[26] Li, L., Qin, H., An UKF‐based nonlinear system identification method using interpolation models and backward integration, Structural Control and Health Monitoring, 25(4), 2017, e2129.

[27] Yan, G., Sun, H., Büyüköztürk, O., Impact load identification for composite structures using Bayesian regularization and unscented Kalman filter, Structural Control and Health Monitoring, 24(5), 2017, e1910.

[28] Noshirvani, G., Askari, J., Fekih, A., Fractional‐order fault‐tolerant pitch control design for a 2.5 MW wind turbine subject to actuator faults, Structural Control and Health Monitoring, 26(10), 2019, e2441.

[29] Marafioti, G., Enhanced Model Predictive Control: Dual Control Approach and State Estimation Issues, Ph. D. Thesis, Department of Engineering Cybernetics, Norwegian University of Science and Technology, Trondheim, 2010.

[30] Sunderhauf, N., Using the unscented Kalman filter in mono-SLAM with inverse depth parametrization for autonomous airship control, In Proc. of IEEE International Workshop on Safety Security and Rescue Robotics, Rome, Italy, 2007.

[31] Wang, X. Nonlinear Control and Estimation with General Performance Criteria, Ph. D. Thesis, Department of Electrical and Computer Engineering, Marquette University, Milwaukee, WI, 2011.

[32] Jacob, N.C., Dhib, R., Unscented Kalman filter based nonlinear model predictive control of a LDPE autoclave reactor, Journal of Process Control, 21(9), 2011, 1332–1344.

[33] Araki, N., Okada, M., Parameter identification and swing-up control of an acrobot system, IEEE Conference on Decision and Control and European Control Conference, Hong Kong, China, 1040–1045, 2005.

[34] Bisgaard, M., la Cour-Harbo, A., Dimon Bendtsen, J., Adaptive control system for autonomous helicopter slung load operations, Control Engineering Practice, 18(7), 2010, 800–811.

[35] Wagg, D.J., Partial synchronization of non-identical chaotic systems via adaptive control, with applications to modelling coupled nonlinear systems, International Journal of Bifurcation and Chaos, 12(3), 2002, 561–570.

[36] Miah, M.S., Chatzi, E.N., Dertimanis, V.K., Weber, F., Real–time experimental validation of a novel semi-active control scheme for vibration mitigation, Structural Control and Health Monitoring, 24(3), 2017, e1878.

[37] Garces, F., Becerra, V.M., Kambhampati, C, Warwick, K., Strategies for Feedback Linearisation: A Dynamic Neural Network Approach, Springer-Verlag, London, 2003.

[38] Isidori, A., Nonlinear control systems, 3^rd Ed., Springer, New York, 1995.

[39] Johnson, E., Erkus, B., Structural Vibration Mitigation Using Dissipative Smart Damping Devices, IUTAM Symposium on Nonlinear Stochastic Systems, Monticello, Illinois, USA, 227–236, 2003.

[40] Rajamohan, V., Sedaghati, R., Rakheja, S., Optimal vibration control of beams with total and partial MR-fluid treatments, Smart Materials and Structures, 20(11), 2011, 115016.

[41] Liu, X., Goldsmith, A., Kalman filtering with partial observation losses, 43^rd IEEE Conference on Decision and Control, Nassau, Bahamas, 4180–4186, 2004.

[42] Levine, W., Athans, M., On the determination of the optimal constant output feedback gains for linear multivariable systems, IEEE Transactions on Automatic Control, 15(1), 1970, 44–48.

[43] Hendrix, C.D., Veth, M.J., Carr, R.W., LQG control design for a hovering micro air vehicle using an optical tracking system, 2009 IEEE Aerospace Conference, Montana, USA, 1–14, 2009.

[44] Jimenez, A., Al-Hadithi, B., Matia, F., Extended Kalman Filter for the Estimation and Fuzzy Optimal Control of Takagi-Sugeno Model, in Grigorie, T.L. (Ed.), Fuzzy Controllers, Theory and Applications, Ch.4, IntechOpen, London, 2011.

[45] Gawronski, W., Modeling and control of antennas and Telescopes, Springer Science+Business Media, LLC, Pasedena, 2008.

[46] Miah, M.S., Chatzi, E.N., Weber, F., Semi-active control of structural systems with uncertainties using an unscented Kalman filter, in Zingoni, A. (Ed.), Research and Applications in Structural Engineering, Mechanics and Computation, CRC Press, Boca Raton, 2013.

[47] Dertimanis, V.K., Chatzi, E.N., LQR-UKF active comfort control of passenger vehicles with uncertain dynamics, IFAC-PapersOnLine, 51(15), 2018, 120–125.

[48] Dertimanis, V.K., Chatzi, E.N., Weber, F., LQR-UKF Semi-Active Control Of Uncertain Structures, In EACS 2016-6th European Conference on Structural Control, Sheffield, UK, #161, 2016.

[49] Miah, M.S., Chatzi, E.N., Dertimanis, V.K., Weber, F., Real–time experimental validation of a novel semi-active control scheme for vibration mitigation, Structural Control and Health Monitoring, 24(3), 2017, e1878.

[50] Mariani, S., Corigliano, A., Impact induced composite delamination: state and parameter identification via joint and dual extended Kalman filters, Computer Methods in Applied Mechanics and Engineering, 194(50–52), 2005, 5242-5272.

[51] Konatowski, S., Kaniewski, P., Matuszewski, J., Comparison of Estimation Accuracy of EKF, UKF and PF Filters, Annual of Navigation, 23(1), 2016, 69–87.

[52] Chatzi, E.N., Smyth, A.W., Masri, S.F., Experimental application of on-line parametric identification for nonlinear hysteretic systems with model uncertainty, Journal of Structural Safety, 32(5), 2010, 326–337.

[53] Dertimanis, V.K., Chatzi, E.N., Eftekhar Azam, S., Papadimitriou, C., Input-state-parameter estimation of structural systems from limited output information, Mechanical Systems and Signal Processing, 126, 2019, 711–746.

[54] Wagg, D., Neild, S., Nonlinear Vibration with Control, Springer International Publishing, Basel, 2015.

[55] Anderson, B.D.O., Moore, J.B., Optimal Control Linear Quadratic Methods, Prentice-Hall Inc., Englewood Cliffs, 1989.

[56] Miah, M.S., Chatzi, E.N., Weber, F., Semi-active control for vibration mitigation of structural systems incorporating uncertainties, Smart Materials and Structures, 24(5), 2015, #055016.

[57] Lublin, L., Athans, M., Linear Quadratic Regulator Control, in Levine, W.S. (Ed.), The Control Handbook, 2^nd Ed., Vol.3, Ch. 17, CRC Press, Boca Raton, 2011.

[58] Cebon, D., Handbook of Vehicle-Road Interaction, Swets & Zeitlinger, Lisse, 2000.

[59] Asgarieh, E., Moaveni, B., Barbosab, A.R., Chatzi, E., Nonlinear model calibration of a shear wall building using time and frequency data features, Mechanical Systems and Signal Processing, 85, 2017, 236–251.

[60] Julier, S.J., Uhlmann, J.K., Consistent Debiased Method for Converting Between Polar and Cartesian Coordinate Systems, Proceedings of SPIE 3086, Acquisition, Tracking, and Pointing, 1997.

[61] Chatzi, E. N., Smyth, A.W., Nonlinear System Identification: Particle based methods, in: Beer M., Patelli E., Kougioumtzoglou I., Au I. (Ed.) Encyclopedia of Earthquake Engineering, Springer-Verlag, Berlin Heidelberg, 2014.

[62] Chatzi, E.N., Smith, A.W., Particle filter scheme with mutation for the estimation of time-invariant parameters in structural health monitoring applications, Structural Control and Health Monitoring, 20, 2013, 1081–1095.

[63] Chatzi, E., Smyth, A.W., The unscented Kalman filter and particle filter methods for nonlinear structural system identification with non-collocated heterogeneous sensing, Structural Control and Health Monitoring, 16(1), 2009, 99-123.