Nonlinear State Observation for Cable Dynamics

被引:23
作者
Faravelli, Lucia [1 ]
Ubertini, Filippo [1 ]
机构
[1] Univ Pavia, Dept Struct Mech, I-27100 Pavia, Italy
关键词
Non-linear observer; state estimation; non-linear cables; feedback control; LONGITUDINAL CONTROL; OBSERVER DESIGN; PART I; OSCILLATIONS; VIBRATION; MODEL;
D O I
10.1177/1077546308094253
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
We explore the applicability of non-linear state observation to cable dynamics. The aim is to capture from the minimal number of measurements a larger description of the state to be employed in active or semi-active control policies. To this end, a non-linear state observer is designed analytically, in the space of modal amplitudes, following relevant literature results. The main theory of non-linear state observation is preliminary reviewed and the applicability to the dynamics of structural cables is discussed, including asymptotic stability and minimal number of measurements. Next a sample non-resonant cable is considered and numerical simulations are carried out in order to test the observation error stability under different conditions. A non-collocated feedback control strategy, based on transversal actuation, is finally considered, in which the control algorithm is based on the estimated state variables. The with-observer control solution is compared with the ideal case in which the entire state of the system is known, thus highlighting the limits and potentialities of the proposed approach.
引用
收藏
页码:1049 / 1077
页数:29
相关论文
共 37 条
[1]   Control of wind-induced nonlinear oscillations in suspended cables [J].
Abdel-Rohman, M ;
Spencer, BF .
NONLINEAR DYNAMICS, 2004, 37 (04) :341-355
[2]   Non-linear responses of suspended cables to primary resonance excitations [J].
Arafat, HN ;
Nayfeh, AH .
JOURNAL OF SOUND AND VIBRATION, 2003, 266 (02) :325-354
[3]   NONLINEAR OSCILLATIONS OF A 4-DEGREE-OF-FREEDOM MODEL OF A SUSPENDED CABLE UNDER MULTIPLE INTERNAL RESONANCE CONDITIONS [J].
BENEDETTINI, F ;
REGA, G ;
ALAGGIO, R .
JOURNAL OF SOUND AND VIBRATION, 1995, 182 (05) :775-797
[4]   Cable vibration reduction with a hung-on TMD system. Part I: Theoretical study [J].
Cai, C. S. ;
Wu, W. J. ;
Shi, X. M. .
JOURNAL OF VIBRATION AND CONTROL, 2006, 12 (07) :801-814
[5]   Cable vibration mitigation by added SMA wires [J].
Casciati, F. ;
Faravelli, L. ;
Fuggini, C. .
ACTA MECHANICA, 2008, 195 (1-4) :141-155
[6]  
Casciati F., 2006, TECHNOLOGY SEMIACTIV
[7]   Nonlinear vibration of shallow cables with semiactive tuned mass damper [J].
Casciati, Fabio ;
Ubertini, Filippo .
NONLINEAR DYNAMICS, 2008, 53 (1-2) :89-106
[8]   A parametric investigation of wind-induced cable fatigue [J].
Cluni, Federico ;
Gusella, Vittorio ;
Ubertini, Filippo .
ENGINEERING STRUCTURES, 2007, 29 (11) :3094-3105
[9]   Design of state observers from a drift-observability property [J].
Dalla Mora, M ;
Germani, A ;
Manes, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (08) :1536-1540
[10]  
Doedel E., 2000, AUTO2000 CONTINUATIO