Trajectory Following Method on Output Regulation of Affine Nonlinear Control Systems with Relative Degree not Well Defined
DOI:
https://doi.org/10.5614/itbj.sci.2011.43.2.1Abstract
The problem of output regulation of affine nonlinear systems with the relative degree not well defined by modified steepest descent control is studied. The modified steepest descent control is a dynamic feedback control which is generated by the trajectory following method. By assuming the system is minimum phase, output of the system can be regulated globally asymptotically.References
Tsinias, J. & Kalouptsidis, N., Output Feedback Stabilization, IEEE Trans. Automat. Control, 35, 951-954, 1990.
Artstein, Z., Stabilization with Relaxed Controls, Nonlinear Anal., 7, 1163-1173, 1983.
Sontag, E.D., A "Universal" Construction of Artstein's Theorem on Nonlinear Stabilization, Syst. Contr. Lett.,13(2), 117-123, 1989.
Pomet, J.B., Hirschorn, R.M. & Cebuhar, W.A., Dynamic Output Feedback Regulation for a Class of Nonlinear Systems, Math. Control Signals Systems, 6, 106-124, 1993.
Vincent, T.L. & Grantham, W.J., Nonlinear and Optimal Control Systems, John Wiley & Sons, Inc., New York, 1997.
Grantham, W.J. & Chingcuanco, A.O., Lyapunov Steepest Descent Control of Constrained Linear Systems, IEEE Trans. Automat. Control, AC-29(8), 740-743, 1994.
Naiborhu, J. & Shimizu, K., Direct Gradient Descent Control for Global Stabilization of General Nonlinear Control Systems, IEICE Trans. Fundamental, E83-A(3), 516-523, 2000.
Shimizu, K., Otsuka, K. & Naiborhu, J., Improved Direct Gradient Descent Control of General Nonlinear Systems, Proc. of European Control Conference, 1999.
Shimizu, K., Nukumi, H. & Ito, S., Tracking Control of General Nonlinear Systems by Direct Gradient Descent Method, Preprints of the 4th Nonlinear Control Systems Design Symposium 1998, Enschede, The Netherlands, pp. 185-190, 1-3 July 1998.
Isidori, A., Nonlinear Control Systems: An Introduction, Third Edition, Springer-Verlag Berlin, Heidelberg 1995.
Khalil, H.K., Nonlinear Systems, Third Edition, Prentice Hall, New Jersey, 2002.
Hirschorn, R.M. & Davis, J.H., Output Tracking for Nonlinear Systems with Singular Points, SIAM J. Control and Optimization, 25(3), 547-557, 1988.
