LEADER 04879nam 2200673Ia 450 001 9910782116503321 005 20230617040857.0 010 $a1-62870-536-1 010 $a1-281-93442-9 010 $a9786611934422 010 $a981-279-428-X 035 $a(CKB)1000000000537834 035 $a(EBL)1679604 035 $a(OCoLC)879074262 035 $a(SSID)ssj0000249359 035 $a(PQKBManifestationID)11923305 035 $a(PQKBTitleCode)TC0000249359 035 $a(PQKBWorkID)10223513 035 $a(PQKB)11308626 035 $a(MiAaPQ)EBC1679604 035 $a(WSP)00005246 035 $a(Au-PeEL)EBL1679604 035 $a(CaPaEBR)ebr10255781 035 $a(CaONFJC)MIL193442 035 $a(EXLCZ)991000000000537834 100 $a20040516d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSpatial control of vibration$b[electronic resource] $etheory and experiments /$fS.O. Reza Moheimani, Dunant Halim, Andrew J. Fleming 210 $aSingapore $cWorld Scientific$dc2003 215 $a1 online resource (237 p.) 225 1 $aSeries on stability, vibration, and control of systems. Series A ;$vv. 10 300 $aDescription based upon print version of record. 311 $a981-238-337-9 320 $aIncludes bibliographical references (p. 211-217) and index. 327 $aPreface; Contents; 1. Introduction; 1.1 Vibration; 1.2 Spatially distributed systems; 1.3 Model correction; 1.4 Spatial control; 1.5 Piezoelectric actuators and sensors; 1.6 Actuator and sensor placement; 2. Modeling; 2.1 Introduction; 2.2 Modal approach; 2.3 Transverse vibration of strings; 2.4 Axial vibration of rods; 2.5 Torsional vibration of shafts; 2.6 Flexural vibration of beams; 2.7 Transverse vibration of thin plates; 2.8 Modeling of piezoelectric laminate beams; 2.9 Conclusions; 3. Spatial Norms and Model Reduction; 3.1 Introduction; 3.2 Spatial H2 norm; 3.3 Spatial Hoo norm 327 $a3.4 Weighted spatial norms3.5 State-space forms; 3.6 The balanced realization and model reduction by truncation; 3.7 Illustrative example; 3.8 Conclusions; 4. Model Correction; 4.1 Introduction; 4.2 Effect of truncation; 4.3 Model correction using the spatial H2 norm; 4.4 Extension to multi-input systems; 4.5 Model correction using the spatial Hoo norm; 4.6 Model correction for point-wise models of structures; 4.7 Extension to multi-variable point-wise systems; 4.8 Model correction for a piezoelectric laminate beam; 4.9 Conclusions; 5. Spatial Control; 5.1 Introduction 327 $a5.2 Spatial Hoo control problem5.3 Spatial Hoo control of a piezoelectric laminate beam; 5.4 Experimental implementation of the spatial Hoo controller; 5.5 The effect of pre-filtering on performance of the spatial Hoo controller; 5.6 The spatial H2 control problem; 5.7 Spatial H2 control of a piezoelectric laminate beam; 5.8 Experimental implementation of spatial H2 control; 5.9 Conclusions; 6. Optimal Placement of Actuators and Sensors; 6.1 Introduction; 6.2 Dynamics of a piezoelectric laminate plate; 6.3 Optimal placement of actuators; 6.4 Optimal placement of sensors 327 $a6.5 Optimal placement of piezoelectric actuators and sensors6.6 Numerical and experimental results; 6.7 Conclusions; 7. System Identification for Spatially Distributed Systems; 7.1 Introduction; 7.2 Modeling; 7.3 Spatial sampling; 7.4 Identifying the system matrix; 7.5 Identifying the mode shapes and feed-through function; 7.6 Experimental results; 7.7 Conclusions; Appendix A Frequency domain subspace system identification; A.1 Introduction; A.2 Frequency Domain Subspace Algorithm; Bibliography; Index 330 $aVibration is a natural phenomenon that occurs in a variety of engineering systems. In many circumstances, vibration greatly affects the nature of engineering design as it often dictates limiting factors in the performance of the system. The conventional treatment is to redesign the system or to use passive damping. The former could be a costly exercise, while the latter is only effective at higher frequencies. Active control techniques have emerged as viable technologies to fill this low-frequency gap. This book is concerned with the study of feedback controllers for vibration control of flexi 410 0$aSeries on stability, vibration, and control of systems.$nSeries A ;$vv. 10. 606 $aSpatial systems 606 $aVibration 615 0$aSpatial systems. 615 0$aVibration. 676 $a620.3 700 $aMoheimani$b S. O. Reza$f1967-$01477487 701 $aFleming$b Andrew J$0900007 701 $aHalim$b Dunant$01477488 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782116503321 996 $aSpatial control of vibration$93692678 997 $aUNINA