ADAPTIVE FEEDFORWARD MODAL SPACE CONTROL

被引:23
作者
CLARK, RL
机构
[1] Department of Mechanical Engineering and Materials Science, Duke University, Durham
关键词
D O I
10.1121/1.414340
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
An alternative method of implementing adaptive feedforward control is presented in this work based upon independent modal space control of reverberant systems. Multivariable control theory is used to derive the optimal feedforward compensators, and when the error sensors are constructed in modal coordinates, the optimal compensators reduce to a single coefficient filter per control channel (assuming the reference signal is available). If the control inputs are also implemented in, modal coordinates, then the control system is termed noninteracting since each mode is orthogonal to the other. Adaptive feedforward modal space control is ideal for implementation of time-averaged,oed gradient descent algorithms such as Newton's method since die optimal filter coefficient is obtained from a single iteration of the algorithm, and is insensitive to changes in the resonant frequencies of the reverberant system. Formulating the control system in modal coordinates also clearly illustrates the effect of causality and nonminimum phase characteristics on the ultimate performance of any adaptive feedforward control system; whether it is implemented in physical coordinates or modal coordinates. (C) 1995 Acoustical Society of America.
引用
收藏
页码:2639 / 2650
页数:12
相关论文
共 42 条
[21]   EXCITATION OF THIN BEAMS USING ASYMMETRIC PIEZOELECTRIC ACTUATORS [J].
GIBBS, GP ;
FULLER, CR .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1992, 92 (06) :3221-3227
[22]  
GIBBS GP, 1993, P NOISE CON 93, P541
[23]  
JOPLIN DM, 1990, P I PHYS, V12, P661
[24]   FEEDFORWARD CONTROL USING THE HIGHER-HARMONIC, TIME-AVERAGED GRADIENT DESCENT ALGORITHM [J].
KEWLEY, DL ;
CLARK, RL ;
SOUTHWARD, SC .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1995, 97 (05) :2892-2905
[25]   MODAL SENSORS ACTUATORS [J].
LEE, CK ;
MOON, FC .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1990, 57 (02) :434-441
[26]   THEORY OF LAMINATED PIEZOELECTRIC PLATES FOR THE DESIGN OF DISTRIBUTED SENSORS ACTUATORS .1. GOVERNING EQUATIONS AND RECIPROCAL RELATIONSHIPS [J].
LEE, CK .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1990, 87 (03) :1144-1158
[27]   PIEZOELECTRIC MODAL SENSOR ACTUATOR PAIRS FOR CRITICAL ACTIVE DAMPING VIBRATION CONTROL [J].
LEE, CK ;
CHIANG, WW ;
OSULLIVAN, TC .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1991, 90 (01) :374-384
[28]  
LEE CK, 1989, AIAA891390 PAP
[29]  
Meirovitch L., 1967, ANAL METHODS VIBRATI
[30]  
MEIROVITCH L, 1980, J GUID CONTROL DYN, V5, P60