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http://dx.doi.org/10.12989/sss.2018.21.2.187

H∞ filter design for offshore platforms via sampled-data measurements  

Kazemy, Ali (Department of Electrical Engineering, Tafresh University)
Publication Information
Smart Structures and Systems / v.21, no.2, 2018 , pp. 187-194 More about this Journal
Abstract
This paper focuses on the $H_{\infty}$ filter design problem for offshore steel jacket platforms. Its objective is to design a full-order state observer for offshore platforms in presence of unknown disturbances. To make the method more practical, it is assumed that the measured variables are available at discrete-time instants with time-varying sampling time intervals. By modelling the sampling intervals as a bounded time-varying delay, the estimation error system is expressed as a time-delay system. As a result, the addressed problem can be transformed to the problem of stability of dynamic error between the system and the state estimator. Then, based on the Lyapunov-Krasovskii Functional (LKF), a stability criterion is obtained in the form of Linear Matrix Inequalities (LMIs). According to the stability criterion, a sufficient condition on designing the state estimator gain is obtained. In the end, the proposed method is applied to an offshore platform to show its effectiveness.
Keywords
offshore platforms; $H_{\infty}$ filter; sampled-data; Lyapunov-Krasovskii functional method; time-delay;
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1 Abdallah, C.T., Dorato, P., Benites-Read, J. and Byrne, R. (1993), "Delayed positive feedback can stabilize oscillatory systems", American Control Conference, San Francisco, CA, USA.
2 Aly, A.M. (2014), "Vibration control of high-rise buildings for wind: a robust passive and active tuned mass damper", Smart Struct. Syst., 13(3), 473-500.   DOI
3 Chen, Z., Shi, K. and Zhong, S. (2016), "New synchronization criteria for complex delayed dynamical networks with sampled-data feedback control", ISA transactions, 63, 154-169.   DOI
4 Dorf, R.C. and Bishop, R.H. (1992), Modern control engineering, Addison-Wesley Publishing Company, Inc., Reading, MA.
5 Ge, X. and Han, Q.L. (2016), "Distributed sampled-data asynchronous $H_{\infty}$ filtering of Markovian jump linear systems over sensor networks", Signal Processing, 127, 86-99.   DOI
6 Jang, D.D., Jung, H.J. and Moon, Y.J. (2014), "Active mass damper system using time delay control algorithm for building structure with unknown dynamics", Smart Struct. Syst., 13(2), 305-318.   DOI
7 Kazemy, A. (2017), "Robust mixed $H_{\infty}$/passive vibration control of offshore steel jacket platforms with structured uncertainty", Ocean Eng., 139, 95-102.   DOI
8 Liu, M., You, J. and Ma, X. (2011), "$H_{\infty}$ filtering for sampled-data stochastic systems with limited capacity channel", Signal Processing, 91(8), 1826-1837.   DOI
9 Li, H.J. and Hu, S.-L.J. (2002), "Tuned mass damper design for optimally minimizing fatigue damage", J. Eng. Mech., 128(6), 703-707.   DOI
10 Li, H.J., Hu, S.L.J. and Jakubiak, C. (2003), "$H_2active$ vibration control for offshore platform subjected to wave loading", J. Sound Vib., 263(4), 709-724.   DOI
11 Luo, M. and Zhu, W. (2006), "Nonlinear stochastic optimal control of offshore platforms under wave loading", J. Sound Vib., 296(4), 734-745.   DOI
12 Park, M.S., Koo, W. and Kawano, K. (2011), "Dynamic response analysis of an offshore platform due to seismic motions", Eng. Struct., 33(5), 1607-1616.   DOI
13 Raheem, S.E.A. (2014), "Study on nonlinear response of steel fixed offshore platform under environmental loads", Arabian J. Sci. Eng., 39(8), 6017-6030.   DOI
14 Rakkiyappan, R., Sakthivel, N. and Cao, J. (2015), "Stochastic sampled-data control for synchronization of complex dynamical networks with control packet loss and additive time-varying delays", Neural Networks, 66, 46-63.   DOI
15 Terro, M., Mahmoud, M. and Abdel-Rohman, M. (1999), "Multi-loop feedback control of offshore steel jacket platforms", Comput. Struct., 70(2), 185-202.   DOI
16 Sakthivel, R., Selvaraj, P., Mathiyalagan, K. and Park, J.H. (2015), "Robust fault-tolerant $H_{\infty}$ control for offshore steel jacket platforms via sampled-data approach", J. Franklin Institute, 352(6), 2259-2279.   DOI
17 Seuret, A. and Gouaisbaut, F. (2013), "Wirtinger-based integral inequality: application to time-delay systems", Automatica, 49(9), 2860-2866.   DOI
18 Teng, J., Xing, H.B., Xiao, Y.Q., Liu, C.Y., Li, H. and Ou, J.P. (2014), "Design and implementation of AMD system for response control in tall buildings", Smart Struct. Syst., 13(2), 235-255.   DOI
19 Wang, S., Yue, Q. and Zhang, D. (2013), "Ice-induced non-structure vibration reduction of jacket platforms with isolation cone system", Ocean Eng.,70, 118-123.   DOI
20 Wilson, J. F. (2003), Dynamics of offshore structures, John Wiley & Sons.
21 Yang, J.S. (2014), "Robust mixed $H_2/H_{\infty}$ active control for offshore steel jacket platform", Nonlinear Dynam., 78(2), 1503-1514.   DOI
22 Zhang, B.L., Han, Q.L. and Zhang, X.M. (2016), "Event-triggered $H{\infty}$ reliable control for offshore structures in network environments", J. Sound Vib., 368, 1-21.   DOI
23 Zhang, B.L., Liu, Y.J., Ma, H. and Tang, G.Y. (2014), "Discrete feedforward and feedback optimal tracking control for offshore steel jacket platforms", Ocean Eng., 91, 371-378.   DOI
24 Zhang, B.L., Han, Q.L. and Zhang, X.M. (2017), "Recent advances in vibration control of offshore platforms", Nonlinear Dynam., 89(2), 755-771.   DOI
25 Zhang, B.L., Han, Q.L., Zhang, X.M. and Yu, X. (2014), "Sliding mode control with mixed current and delayed states for offshore steel jacket platforms", IEEE T. Control Syst. Technol., 22(5), 1769-1783.   DOI
26 Zhang, B.L., Huang, Z.W. and Han, Q.L. (2015), "Delayed non-fragile $H_{\infty}$ control for offshore steel jacket platforms", J. Vib .Control, 21(5), 959-974.   DOI
27 Zhang, B.L., Ma, L. and Han, Q.L. (2013), "Sliding mode $H_{\infty}$ control for offshore steel jacket platforms subject to nonlinear self-excited wave force and external disturbance", Nonlinear Analysis: Real World Applications, 14(1), 163-178.   DOI
28 Zhang, B.L. and Tang, G.Y. (2013), "Active vibration $H_{\infty}$ control of offshore steel jacket platforms using delayed feedback", J. Sound Vib., 332(22), 5662-5677.   DOI
29 Zhang, X.M. and Han, Q.L. (2008), "Robust $H_{\infty}$ filtering for a class of uncertain linear systems with time-varying delay", Automatica, 44(1), 157-166.   DOI
30 Zhang, X.M., Han, Q.L. and Han, D. (2011), "Effects of small time-delays on dynamic output feedback control of offshore steel jacket structures", J. Sound Vib., 330(16), 3883-3900.   DOI
31 Zhang, X.M. and Han, Q.L. (2013), "Novel delay-derivative-dependent stability criteria using new bounding techniques", Int. J. Robust Nonlin., 23(13), 1419-1432.   DOI
32 Zhang, X.M. and Han, Q.L. (2017), "Event-triggered $H_{\infty}$ control for a class of nonlinear networked control systems using novel integral inequalities", Int. J. Robust Nonlin., 27(4), 679-700.   DOI