REFERENCES. 4. Military Standard, Flying Qualities of Piloted Aircraft, MIL-STD-1797A, 30 Jan

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1 REFERENCES 1. Mitchell, David G., Hoh, H. Roger, Aponso L. Bimal, Klyde, and David H., ÒThe Measurement and Prediction of Pilot-In-The Loop Oscillations,Ó Paper No , AIAA Guidance, Navigation, and Control Conference, Scottsdale, AZ, Aug. 1994, pp McKay, K. ÒSummary of an AGARD Workshop on Pilot Induced Oscillation,Ó Paper No , AIAA Guidance, Navigation, and Control Conference, Scottsdale, AZ, Aug. 1994, pp Flynn, William, A. and Lee, Robert E., ÒAn Investigation of Pilot Induced Oscillation Phenomena in Digital Flight Control Systems,Ó United States Air Force Flight Test Center, Edwards Air Force Base, California. 4. Military Standard, Flying Qualities of Piloted Aircraft, MIL-STD-1797A, 30 Jan Anderson, Seth, B., ÒLessons Learned from an Historical Look at Flight Testing,Ó NASA Tech Briefs, ARC , Moffet Field, CA. 6. Anderson, Mark R. and Page, Anthony B., ÒMultivariable Analysis of Pilot-in-the- Loop Oscillations,Ó Paper No AIAA Guidance, Navigation, and Control Conference, Baltimore, MD, Aug. 1995, pp Hoh, Roger, H. and Mitchell, David G., ÒDevelopment of a Unified Method to Predict Tendencies for Pilot-Induced Oscillations,Ó Technical Report No , Jan. 1995, pp Gibson, John C., ÒPiloted Handling Qualities Design Criteria for High Order Flight Control Systems,Ó Criteria for Handling Qualities of Military Aircraft, AGARD-CP- 333, Apr. 1982, pp Smith, Ralph H. and Geddes, Norman D., ÒHandling Quality Requirements for Advanced Aircraft Design: Longitudinal Mode,Ó AFFDL-TR , Aug Smith, Ralph H., ÒA Theory for Longitudinal Short-Period Pilot Induced Oscillations, AFFDL-TR-77-57, June

2 11. Bjorkman, E.A., Silverthorn, J.T., and Calico, R.A., ÒFlight Test Evaluation of Techniques to Predict Longitudinal Pilot Induced Oscillations,Ó Paper No AIAA Guidance, Navigation, and Control Conference, Williamsburg, VA, 1986, pp Anderson, Mark R. and Page, Anthony B., ÒUnified Pilot-Induced Oscillation Theory,Ó WL-TR , Dec Smith, Ralph H., ÒPredicting and Validating Fully-Developed PIO,Ó Paper No , AIAA Guidance, Navigation, and Control Conference, Scottsdale, AZ, Aug Brogan, William L., ÒModern Control Theory,Ó Prentice-Hall, Inc., New Jersey, Gelb, A. and VanderVelde, W.E., ÒMultiple-Input Describing Functions and Nonlinear System Design, McGraw-Hill Book Co., New York, Holtzman, Jack M., ÒNonlinear System Theory,Ó Prentice Hall, Inc., New Jersey, Cook, P.A., ÒNonlinear Dynamical Systems,Ó Prentice Hall International (UK) Ltd., Usu, Jay C. and Meyer, Andrew U., ÒModern Control Principles and Applications,Ó McGraw-Hill Inc., Anderson, Mark R., ÒPilot-Induced Oscillations Involving Multiple Nonlinearities,Ó Paper No , AIAA Atmospheric Flight Mechanics Conference, New Orleans, LA, Aug Nafeyh, Ali H. and Balachandran, Balakumar, ÒApplied Nonlinear Dynamics,Ó John Wiley & Sons, Inc., Pillai, V.K., and Nelson, H.D., ÒA New Algorithm for Limit Cycle Analysis of Nonlinear Control Systems.Ó Journal of Dynamic Systems Measurement and Control, Vol. 110, No. 3, Sept McNamara, O.P. and Atherton, D.P., ÒAn Iterative Method for Limit Cycle Determination,Ó IEEE Conference Publication No. 252 Control 85, Cambridge, July

3 23. Gray, J.O. and Nakhla, N.B., ÒPrediction of Limit Cycles in Multivariable Nonlinear Systems,Ó IEEE Proc., Vol. 128, Pt. D, No. 5, Sept Fox, L. and Mayers, D.F., Ò Computing Methods for Scientists and Engineers,Ó Oxford University Press, Hultquist, Paul F., ÒNumerical Methods for Engineers and Computer Scientists,Ó Benjamin/Cummings Publishing Company, Inc., Boyce, William E. and DiPrima, Richard C., ÒElementary Differential Equations and Boundary Value Problems,Ó John Wiley & Sons, Inc., Franklin, Gene F., Powell, J. David., and Emani-Naeni, Abbus., ÒFeedback Control of Dynamic Systems,Ó Addison-Wesley Publishing Company, Inc., Kish, Brain A., et al., ÒA limited Flight Test Investigation of PilotÐInduced Oscillation Due to Rate Limiting,Ó AIAA Paper No , United States Air Force Test Pilot School, Edwards Air Force Base, California,

4 APPENDIX Phase portraits of and oscillations for NT-33A with stick and elevator limiting as defined in Section 4.2 for k p = 9 lb/deg: Phase Portrait of dsp/dt vs. dsp for kp = 9 lb/deg dsp/dt, in/s dsp, in Phase Portrait of de/dt vs. de for kp = 9 lb/deg de/dt, deg/s de, deg 82

5 Phase Portrait of q vs. q for kp = 9 lb/deg q, deg/sec q, deg 83

6 Phase portraits of and oscillations for NT-33A with stick and elevator limiting as defined in Section 4.2 for k p = 14 lb/deg: Phase Portrait of dsp/dt vs. dsp for kp = 14 lb/deg dsp/dt, deg/s dsp, deg Phase Portrait of de/dt vs. de for kp = 14 lb/deg de/dt, deg/s de, deg 84

7 Phase Portrait of q vs. q for kp = 14 lb/deg q, deg/sec q, deg 85

8 Phase portraits of and oscillations for NT-33A with stick, elevator, and elevator rate limiting as defined in Section 4.3 for k p = 7 lb/deg: dsp/dt, deg/sec Phase Portrait of dsp/dt vs. dsp for kp = 7 lb/deg dsp, deg Phase Portrait of der vs. de for kp = 7 lb/deg der, deg/s de, deg 86

9 Phase Portrait of q vs. q for kp = 7 lb/deg 6 3 q, deg/sec q, deg 87

10 VITA Joel Emanuel Lamendola was born in the New World colony of Sommerville, New Jersey on a sunny August day in He spent his entire childhood in the posh township of Tewksbury, where he became learned in mathematics and science. In 1991, when he became of age, Joel ventured south past the Mason Dixon Line to attend the Virginia Polytechnic Institute and State University. It was here that he was schooled in the ways of aerospace engineering. Seven rigorous years later Joel finished this work. 88