Robust decentralized control of structures using the LMI H_∞controller with uncertainties

다국어 초록 (Multilingual Abstract)

This paper investigates the operation of the H_∞ static output-feedback controller to reduce dynamic responses under seismic excitation on the five-story and benchmark 20 story building with parametric uncertainties. Linear matrix inequality (LMI) control theory is applied in this system and then to achieve the desired LMI formulations, some transformations of the LMI variables is used. Conversely uncertainties due to material properties, environmental loads such as earthquake and wind hazards make the uncertain system. This problem and its effects are studied in this research. Also to decrease the transition of large amount of data between sensors and controller, avoiding the disruption of whole control system and economy problems, the operation of the decentralized controllers is investigated in this paper. For this purpose the comparison between the performance of the centralized, fully decentralized and partial decentralized controllers in uncoupled and coupled cases is performed. Also, the effect of the changing the number of stories in substructures is considered. Based on the numerical results, the used control algorithm is very robust against the parametric uncertainties and structural responses are decreased considerably in all the control cases but partial decentralized controller in coupled form gets the closest results to the centralized case. The results indicate the high applicability of the used control algorithm in the tall shear buildings to reduce the structural responses and its robustness against the uncertainties.

참고문헌 (Reference)

1 Francesc Pozo, "Vibration control of hysteretic base-isolated structures: an LMI approach" 국제구조공학회 17 (17): 195-208, 2016

2 Wang, Y, "Time-delayed dynamic output feedback H∞controller design for civil structures : A decentralized approach through homotopic transformation" 18 (18): 121-139, 2011

3 Chen, B, "Structural damage detection using decentralized controller design method" 4 (4): 779-794, 2008

4 Housner, G. W, "Structural control : past, present, and future" 123 (123): 897-971, 1997

5 Cheng, F.Y, "Smart Structures:Innovative Systems for Seismic Response Control" Taylor &Francis Group 2008

6 Tu, J, "Simulation and experimental tests on active mass damper control system based on model reference adaptive control algorithm" 333 (333): 4826-4842, 2014

7 Asan G.A. Muthalif, "Semi-active vibration control using experimental model of magnetorheological damper with adaptive F-PID controller" 국제구조공학회 20 (20): 85-97, 2017

8 Hosein Ghaffarzadeh, "Semi-active structural fuzzy control with MR dampers subjected to near-fault ground motions having forward directivity and fling step" 국제구조공학회 12 (12): 595-617, 2013

9 Manuel T. Braz-César, "Semi-active fuzzy based control system for vibration reduction of a SDOF structure under seismic excitation" 국제구조공학회 21 (21): 389-395, 2018

10 Mohsen Askari, "Semi-active control of smart building-MR damper systems using novel TSK-Inv and max-min algorithms" 국제구조공학회 18 (18): 1005-1028, 2016

11 Amir Younespour, "Semi-active control of seismically excited structures with variable orifice damper using block pulse functions" 국제구조공학회 18 (18): 1111-1123, 2016

12 Materazzi, A.L, "Robust structural control with system constraints" 19 (19): 472-490, 2012

13 Lim, C.W, "Robust saturation controller for linear time-invariant system with structured real parameter uncertainties" 294 (294): 1-14, 2006

14 Du, H, "Robust sampled-data control of structures subject to parameter uncertainties and actuator saturation" 36 : 39-48, 2012

15 Zhang, H, "Robust finite frequency H∞ static-output-feedback control with application to vibration active control of structural systems" 24 (24): 354-366, 2014

16 Schmitendorf, W.E, "Robust control techniques for buildings under earthquake excitation" 23 (23): 539-552, 1994

17 Wang, S.G, "Robust control for structural systems with unstructured uncertainties" 130 (130): 337-346, 2004

18 Palacios Quinonero, F, "Recent advances in static outputfeedback controller design with applications to vibration" 35 (35): 169-190, 2014

19 Lei, Y, "New decentralized control technique based on substructure and LQG approaches, front" 4 (4): 386-392, 2009

20 T.C. Manjunath, "Modeling and fast output sampling feedback control of a smart Timoshenko cantilever beam" 국제구조공학회 1 (1): 283-308, 2005

21 Kohiyama, M, "LQG design scheme for multiple vibration controllers in a data center facility" 6 (6): 281-300, 2014

22 Lei, Y, "Integration of decentralized structural control and the identification of unknown inputs for tall shear building models under unknown earthquake excitation" 52 : 306-316, 2013

23 Ma, T.W, "Improved decentralized method for control of building structures under seismic excitation" 136 (136): 662-673, 2010

24 ZongjieCao, "Feedback control of intelligent structures with uncertainties and its robustness analysis" 국제구조공학회 16 (16): 327-340, 2003

25 Zongjie Cao, "Feedback control design for intelligent structures with closely-spaced eigenvalues" 국제구조공학회 52 (52): 903-918, 2014

26 Chu, S. Y, "Experimental verification of leverage-type stiffnesscontrollable tuned mass damper using direct output feedback LQR control with time-delay compensation" 12 (12): 425-436, 2017

27 K. Dhanalakshmi, "Design and implementation of fast output sampling feedback control for shape memory alloy actuated structures" 국제구조공학회 8 (8): 367-384, 2011

28 Rubió Massegú, J, "Decentralized static output-feedback H controller design for buildings under seismic excitation" 41 (41): 1199-1205, 2012

29 Jiang, J, "Decentralized robust vibration control of smart structures with parameter uncertainties" 22 (22): 137-147, 2011

30 Ma, T.W, "Decentralized robust control of building structures under seismic excitations" 37 (37): 121-140, 2008

31 Cha, Y.J, "Decentralized output feedback polynomial control of seismically excited structures using genetic algorithm" 20 (20): 241-258, 2013

32 J. P. Lynch, "Decentralized energy market-based structural control" 국제구조공학회 17 (17): 557-572, 2004

33 Lynch, J.P, "Decentralized control techniques for large-scale civil structural systems" 2002

34 Bakule, L, "Decentralized control : An overview" 32 (32): 87-98, 2008

35 Yang Wang, "Decentralized civil structural control using real-time wireless sensing and embedded computing" 국제구조공학회 3 (3): 321-340, 2007

36 Wang, Y, "Decentralized H∞controller design for large-scale civil structures" 38 (38): 377-401, 2009

37 Yan, X.G, "Decentralised delaydependent static output feedback variable structure control" 351 (351): 2033-2047, 2014

38 M.E. Ruiz-Sandoval, "Complete decentralized displacement control algorithm" 국제구조공학회 11 (11): 163-183, 2013

39 S.B. Beheshti-Aval, "Assessment of velocity-acceleration feedback in optimal control of smart piezoelectric beams" 국제구조공학회 6 (6): 921-938, 2010

40 Loh, C.H, "Application of centralized and decentralized control to building structure : analytical study" 134 (134): 970-982, 2008

41 Hosein Ghaffarzadeh, "Adaptive fuzzy sliding mode control of seismically excited structures" 국제구조공학회 19 (19): 577-585, 2017

42 Yalan Xu, "Active vibration robust control for FGM beams with piezoelectric layers" 국제구조공학회 67 (67): 33-43, 2018

43 Ubertini, F, "Active feedback control for cable vibrations" 4 (4): 407-428, 2008

44 Johansen, Jeremy David, "Active control of frame structures: a decentralized approach" University of California 2008

45 Preumont, A, "Active Control Of Structures" John Wailey & Sons, Ltd 2008

46 Yan Yu, "A wireless decentralized control experimental platform for vibration control of civil structures" 국제구조공학회 19 (19): 47-56, 2017

47 Giron, N, "A robust decentralized control method based on dimensionless parameters with practical performance criterion for building structures under seismic excitations" 21 (21): 907-925, 2014

48 Korkmaz, S, "A review of active structural control : challenges for engineering informatics" 89 (89): 2113-2132, 2011

49 Morales, A.L, "A finite element method for active vibration control of uncertain structures" 32 : 79-93, 2012

50 Qu, C, "A double homotopy approach for decentralized H∞ control of civil structures" 21 (21): 269-281, 2013

51 Lei, Y, "A decentralized structural control algorithm with application to the benchmark control problem for seismically excited buildings" 20 (20): 1211-1225, 2013

52 Lei, Y, "A decentralized control algorithm for large-scale building structures" 27 (27): 2-13, 2012