CHAPTER 5 – Development and Validation of a Multi-PID Muscle Loading
5.5 Nomenclature
PID Proportional, Integral, Differential controller RMSE Root Mean Square Error
ASD Average Standard Deviation
Ku Proportional gain causing oscillation in a proportional only controller
Kp Proportional gain in proportional only controller causing a Quarter
Amplitude Decay Response
Tu Estimated oscillation period
Ti Initial integral time value
5.6 References
Amadi, H. O., & Bull, A. M. (2010). A motion-decomposition approach to address gimbal lock in the 3-cylinder open chain mechanism description of a joint
coordinate system at the glenohumeral joint. Journal of Biomechanics, 43(16),
3232-3236. doi:10.1016/j.jbiomech.2010.07.034
Apreleva, M., Hasselman, C. T., Debski, R. E., Fu, F. H., Woo, S. L., & Warner, J. J. (1998). A dynamic analysis of glenohumeral motion after simulated capsulolabral
injury. A cadaver model. The Journal of Bone and Joint Surgery. American
Volume, 80(4), 474-480.
Balg, F., Boulianne, M., & Boileau, P. (2006). Bicipital groove orientation: Considerations for the retroversion of a prosthesis in fractures of the proximal
humerus. Journal of Shoulder and Elbow Surgery / American Shoulder and Elbow
Surgeons ...[Et Al.], 15(2), 195-198. doi:10.1016/j.jse.2005.08.014
Debski, R. E., McMahon, P. J., Thompson, W. O., Woo, S. L., Warner, J. J., & Fu, F. H. (1995). A new dynamic testing apparatus to study glenohumeral joint motion.
Journal of Biomechanics, 28(7), 869-874.
Forte, F. C., de Castro, M. P., de Toledo, J. M., Ribeiro, D. C., & Loss, J. F. (2009). Scapular kinematics and scapulohumeral rhythm during resisted shoulder
abduction--implications for clinical practice. Physical Therapy in Sport: Official
Journal of the Association of Chartered Physiotherapists in Sports Medicine, 10(3), 105-111. doi:10.1016/j.ptsp.2009.05.005; 10.1016/j.ptsp.2009.05.005
Grood, E. S., & Suntay, W. J. (1983). A joint coordinate system for the clinical
description of three-dimensional motions: Application to the knee. Journal of
Biomechanical Engineering, 105(2), 136-144.
Halder, A. M., Halder, C. G., Zhao, K. D., O'Driscoll, S. W., Morrey, B. F., & An, K. N.
(2001). Dynamic inferior stabilizers of the shoulder joint. Clinical Biomechanics
(Bristol, Avon), 16(2), 138-143.
Henninger, H. B., Barg, A., Anderson, A. E., Bachus, K. N., Tashjian, R. Z., & Burks, R. T. (2012). Effect of deltoid tension and humeral version in reverse total shoulder
arthroplasty: A biomechanical study. Journal of Shoulder and Elbow Surgery /
American Shoulder and Elbow Surgeons ...[Et Al.], 21(4), 483-490. doi:10.1016/j.jse.2011.01.040; 10.1016/j.jse.2011.01.040
Hsu, H. C., Luo, Z. P., Cofield, R. H., & An, K. N. (1997). Influence of rotator cuff
tearing on glenohumeral stability. Journal of Shoulder and Elbow Surgery /
American Shoulder and Elbow Surgeons ...[Et Al.], 6(5), 413-422.
Itoi, E., Motzkin, N. E., Morrey, B. F., & An, K. N. (1994). Contribution of axial arm
rotation to humeral head translation. The American Journal of Sports Medicine,
Kedgley, A. E., Mackenzie, G. A., Ferreira, L. M., Drosdowech, D. S., King, G. J., Faber, K. J., & Johnson, J. A. (2007a). The effect of muscle loading on the kinematics of
in vitro glenohumeral abduction. Journal of Biomechanics, 40(13), 2953-2960.
doi:10.1016/j.jbiomech.2007.02.008
Kedgley, A. E., Mackenzie, G. A., Ferreira, L. M., Drosdowech, D. S., King, G. J., Faber, K. J., & Johnson, J. A. (2007b). The effect of muscle loading on the kinematics of
in vitro glenohumeral abduction. Journal of Biomechanics, 40(13), 2953-2960.
doi:10.1016/j.jbiomech.2007.02.008
Kedgley, A. E., Mackenzie, G. A., Ferreira, L. M., Johnson, J. A., & Faber, K. J. (2007).
In vitro kinematics of the shoulder following rotator cuff injury. Clinical
Biomechanics (Bristol, Avon), 22(10), 1068-1073. doi:10.1016/j.clinbiomech.2007.06.005
Magermans, D. J., Chadwick, E. K., Veeger, H. E., & van der Helm, F. C. (2005).
Requirements for upper extremity motions during activities of daily living. Clinical
Biomechanics (Bristol, Avon), 20(6), 591-599. doi:10.1016/j.clinbiomech.2005.02.006
McClure, P. W., Michener, L. A., Sennett, B. J., & Karduna, A. R. (2001). Direct 3- dimensional measurement of scapular kinematics during dynamic movements in
vivo. Journal of Shoulder and Elbow Surgery, 10(3), 269-277.
McClure, P. W., Michener, L. A., & Karduna, A. R. (2006). Shoulder function and 3- dimensional scapular kinematics in people with and without shoulder impingement
syndrome. Physical Therapy, 86(8), 1075-1090.
McQuade, K. J., & Smidt, G. L. (1998). Dynamic scapulohumeral rhythm: The effects of
external resistance during elevation of the arm in the scapular plane. The Journal of
Orthopaedic and Sports Physical Therapy, 27(2), 125-133.
Nazari, V., & Notash, L. (2013). Workspace Of Wire-Actuated Parallel Manipulators
And Variations In Design Parameters. Transactions of the Canadian Society for
Mechanical Engineering, 37(2), 215.
Sharkey, N. A., Marder, R. A., & Hanson, P. B. (1994). The entire rotator cuff contributes
to elevation of the arm. Journal of Orthopaedic Research: Official Publication of
the Orthopaedic Research Society, 12(5), 699-708. doi:10.1002/jor.1100120513 Speer, K. P., Hannafin, J. A., Altchek, D. W., & Warren, R. F. (1994). An evaluation of
the shoulder relocation test. The American Journal of Sports Medicine, 22(2), 177-
183.
Woltring, H. (1990). Data processing and error analysis. In P. Berne, & A. Capozzo
(Eds.), Biomechanics of human movement, applications in rehabilitation, sport and
ergonomics. (pp. 203-237). Worthington, OH: Berlec Corporation.
Wu, G., van der Helm, F. C., Veeger, H. E., Makhsous, M., Van Roy, P., Anglin, C., . . . International Society of Biomechanics. (2005a). ISB recommendation on definitions of joint coordinate systems of various joints for the reporting of human
joint motion--part II: Shoulder, elbow, wrist and hand. Journal of Biomechanics,
38(5), 981-992.
Wu, G., van der Helm, F. C., Veeger, H. E., Makhsous, M., Van Roy, P., Anglin, C., . . . International Society of Biomechanics. (2005b). ISB recommendation on definitions of joint coordinate systems of various joints for the reporting of human
joint motion--part II: Shoulder, elbow, wrist and hand. Journal of Biomechanics,
38(5), 981-992.
Wuelker, N., Wirth, C. J., Plitz, W., & Roetman, B. (1995). A dynamic shoulder model:
Reliability testing and muscle force study. Journal of Biomechanics, 28(5), 489-
499.
Ziegler, J., & Nichols, N. (1942). Optimum settings for automatic controllers. Trans