1998 - Draper Laboratory

References[1] Ball, J.A. and A.J. van der Schaft, “J-Inner-Outer Factorization,J-Spectral Factorization, and Robust Control for NonlinearSystems,” IEEE Transactions on Automatic Control,41(3):379-392, March 1996.[2] Boyd, S., L. El Ghaoui, E. Feron, and V. Balakrishnan, LinearMatrix Inequalities in System and Control Theory, Society forIndustrial and Applied Mathematics, Philadelphia, PA, 1994.[3] Freeman, R.A. and P.V. Kokotovic, “Design of ‘Softer’ RobustNonlinear Control Laws,” Automatica, 29(6):1425-1437,1993.[4] Freeman, R.A. and P.V. Kokotovic, “Inverse Optimality inRobust Stabilization,” SIAM Journal on Control andOptimization, 34(4):1365-1391, July 1996.[5] Isidori, A. and W. Kang, “HT Control via MeasurementFeedback for General Nonlinear Systems,” IEEE Transactionson Automatic Control, 40(3):466-472, March 1995.[6] Lawrence, D.A. and W.J. Rugh, “Gain Scheduling DynamicLinear Controllers for a Nonlinear Plant,” Automatica,31(3):381-390, March 1995.[7] Lin, Y., E. Sontag, and Y. Wang, “Recent Results on Lyapunov-Theoretic Techniques for Nonlinear Stability,” Proceedings ofthe American Control Conference, pp. 1771-1775, Baltimore,MD, June 1994.[8] Marino, R. and P. Tomei, “Robust Stabilization of FeedbackLinearizable Time-Varying Uncertain Nonlinear Systems,”Automatica, 29(1):181-189, 1993.[9] McConley, M.W., A Computationally Efficient Lyapunov-BasedProcedure for Control of Nonlinear Systems with Stability andPerformance Guarantees, PhD Thesis, Massachusetts Instituteof Technology, Department of Aeronautics and Astronautics,Cambridge, MA, February 1997.[10] Shamma, J.S. and M. Athans, “Guaranteed Properties of GainScheduled Control for Linear Parameter-Varying Plants,”Automatica, 27(3):559-564, May 1991.[11] Sontag, E.D., “A ‘Universal’ Construction of Artstein’sTheorem on Nonlinear Stabilization,” Systems & ControlLetters, 13(2):117-123, August 1989.[12] Tsinias, J., “A Theorem on Global Stabilization of NonlinearSystems by Linear Feedback,” Systems & Control Letters,17(5):357-362, November 1991.[13] van der Schaft, A.J., “ L 2 -gain Analysis of Nonlinear Systemsand Nonlinear State Feedback HT Control,” IEEE Transactionson Automatic Control, 37(6):770-784, June 1992.A Control Lyapunov Function Approach to Robust Stabilization of Nonlinear Systems10