Subspace identification of Bilinear and LPV systems for open- and closed-loop data

Apkarian, 1998, Advanced gain scheduling techniques for uncertain systems, IEEE Transactions on Control Systems Technology, 6, 21, 10.1109/87.654874 Bamieh, 2002, Identification of linear parameter varying models, International Journal of Robust and Nonlinear Control, 12, 841, 10.1002/rnc.706 Barker, 2000, Comparing linear parameter-varying gain-scheduled control techniques for active flutter suppression, Journal of Guidance, Control, and Dynamics, 23, 948, 10.2514/2.4637 Bianchi, 2005, Gain scheduling control of variable-speed wind energy conversion systems using quasi-LPV models, Control Engineering Practice, 13, 247, 10.1016/j.conengprac.2004.03.006 Borges, J., Verdult, V., Verhaegen, M., & Botto, M. A. (2004). Separable least squares for projected gradient identification of composite local linear state-space models. In Proceedings of the 16th international symposium on mathematical theory of networks and systems Brewer, 1978, Kronecker products and matrix calculus in system theory, IEEE Transactions on circuits and systems, 25, 772, 10.1109/TCS.1978.1084534 Chiuso, 2007, The role of vector auto regressive modeling in predictor based subspace identification, Automatica, 43, 1034, 10.1016/j.automatica.2006.12.009 Chiuso, 2005, Consistency analysis of certain closed-loop subspace identification methods, Automatica, 41, 377, 10.1016/j.automatica.2004.10.015 Eggleston, 1987 Espinoza, 2006, Fixed-size least squares support vector machines: A large scale application in electrical load forecasting, Computational Management Science, 3, 113, 10.1007/s10287-005-0003-7 Favoreel, 1999, Subspace identification of bilinear systems subject to white inputs, IEEE Transactions on Automatic Control, 44, 1157, 10.1109/9.769370 Felici, 2007, Subspace identification of MIMO LPV systems using a periodic scheduling sequence, Automatica, 43, 1684, 10.1016/j.automatica.2007.02.027 Giarre, 2006, LPV model identification for gain scheduling control: An application to rotating stall and surge control problem, Control Engineering Practice, 14, 351, 10.1016/j.conengprac.2005.01.013 Golub, 1996 Groot Wassink, 2005, LPV control for a wafer stage: Beyond the theoretical solution, Control Engineering Practice, 13, 231, 10.1016/j.conengprac.2004.03.008 Hench, 1994, Numerical solution of the discrete-time periodic Riccati equation, IEEE Transactions on Automatic Control, 39, 1197, 10.1109/9.293179 Jansson, M. (2005). A new subspace identification method for open and closed loop data. In Proceedings of the 16th IFAC world congress Knudsen, 2001, Consistency analysis of subspace identification methods based on a linear regression approach, Automatica, 37, 81, 10.1016/S0005-1098(00)00125-4 Lee, 1999, Identification of linear parameter-varying systems using non-linear programming, Journal of Dynamic Systems, Measurements and Control, 121, 71, 10.1115/1.2802444 Liu, 1997, Identification of linear time-varying systems, Journal of Sound and Vibration, 206, 487, 10.1006/jsvi.1997.1105 Lovera, M. (1997). Subspace identification methods: Theory and applications. Ph.D. thesis. Politecnico Di Milano Lovera, M., & Mercere, G. (2007). Identification for gain-scheduling: Balanced subspace approach. In Proceedings of the American control conference Nemani, M., Ravikanth, R., & Bamieh, B. A. (1995). Identification of linear parametrically varying systems. In Proceedings of the 34th IEEE conference on decision and control Previdi, 2004, Identification of nonlinear parametrically varying models using separable least squares, International Journal of Control, 77, 1382, 10.1080/0020717041233318863 Rugh, 1996 Santos, P. L. d., Ramos, J. A., & de Carvalho, J. L. M. (2005). Identification of bilinear systems using an iterative deterministic-stochastic subspace approach. In Proceedings of the 44th IEEE conference on decision and control, CDC, and the European Control Conference, ECC Scherer, 2001, LPV control and full block multipliers, Automatica, 37, 361, 10.1016/S0005-1098(00)00176-X Shamma, 1991, Guaranteed properties of gain scheduled control for linear parameter varying plants, Automatica, 27, 559, 10.1016/0005-1098(91)90116-J Sima, D. M. (2006). Regularization techniques in model fitting and parameter estimation. Ph.D. thesis. Katholieke Universiteit Leuven Smola, A. J., & Scholkopf, B. (2000). Sparse greedy matrix approximation for machine learning. In Proceedings of the 17th international conference on machine learning Suykens, 2002 Takahashi, K., & Massaquoi, S. G. (2007). Neuroengineering model of human limb control — gainscheduled feedback control approach. In Proceedings of the 46th IEEE conference on decision and control Tóth, R., Felici, F., Heuberger, P. S. C., & Van den Hof, P. M. J. (2007a). Discrete time LPV I/O and state-space representations, differences of behavior and pitfalls of interpolation. In Proceedings of the European control conference Tóth, R., Heuberger, P. S. C., & Van den Hof, P. M. J. (2007b). LPV system identification with globally fixed orthonormal basis functions. In Proceedings of the 46th IEEE conference on decision and control Van Overschee, 1996 van Wingerden, J. W. (2008). Control of wind turbines with ‘smart’ rotors: Proof of concept & LPV subspace identification. Ph.D. thesis. Delft University of Technology van Wingerden, J. W., & Verhaegen, M. (2007). Subspace identification of bilinear systems using a dedicated input sequence. In Proceedings of the 46th IEEE conference on decision and control van Wingerden, J. W., & Verhaegen, M. (2008a). Subspace identification of MIMO LPV systems: The PBSID approach. In Proceedings of the 47th IEEE conference on decision and control van Wingerden, J. W., & Verhaegen, M. (2008b). Subspace identification of multivariable LPV systems: A novel approach. In Proceedings of the IEEE multi-conference on systems and control van Wingerden, J. W., Felici, F., & Verhaegen, M. (2007). Subspace identification of MIMO LPV systems using piecewise constant scheduling sequence with hard/soft switching. In Proceedings of the European control conference van Wingerden, 2009, Closed-loop identification of the time-varying dynamics of variable-speed wind turbines [Special issue on Wind turbines: New challenges and advanced control solutions], International Journal of Robust and Nonlinear Control, 19, 4, 10.1002/rnc.1320 Varga, A. (2005). On solving discrete-time periodic Riccati equations. In Proceedings of the 16th IFAC world congress Verdult, V. (2002). Nonlinear system identification; A state-space approach. Ph.D. thesis. University of Twente Verdult, 2002, Subspace identification of multivariable linear parameter-varying systems, Automatica, 38, 805, 10.1016/S0005-1098(01)00268-0 Verdult, 2005, Kernel methods for subspace identification of multivariable LPV and bilinear systems, Automatica, 41, 1557, 10.1016/j.automatica.2005.03.027 Verhaegen, 2007 Zhou, 1996