On the state observation and output feedback problems for nonlinear uncertain dynamic systems

The authors examine the problems of state observation and state trajectory control by output feedback for the class of nonlinear systems described by Y.H. Chen (1990) and A. Steinberg and M. Corless (1985). They formulate a nonlinear nonvariable structure type observer that guarantees that the observation error is globally exponentially stable (GES). A nonlinear, nonvariable structure type output feedback controller is then formulated. It forces the state to the origin in the GES sense. Specific time-varying bounds on the observation error and the state trajectory are also developed: revealing how the corresponding observer or control parameters can be adjusted to improve the system performance.<<ETX>>

[1]  F. Thau Observing the state of non-linear dynamic systems† , 1973 .

[2]  Tzyh Jong Tarn,et al.  Exponential Observers for Nonlinear Dynamic Systems , 1975, Inf. Control..

[3]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[4]  Thomas Kailath,et al.  Linear Systems , 1980 .

[5]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[6]  D. Bestle,et al.  Canonical form observer design for non-linear time-variable systems , 1983 .

[7]  M. Corless,et al.  Output feedback stabilization of uncertain dynamical systems , 1984, The 23rd IEEE Conference on Decision and Control.

[8]  R. Marino High-gain feedback in non-linear control systems† , 1985 .

[9]  A. Krener,et al.  Nonlinear observers with linearizable error dynamics , 1985 .

[10]  W. Baumann,et al.  Feedback control of nonlinear systems by extended linearization , 1986 .

[11]  S. Żak,et al.  State observation of nonlinear uncertain dynamical systems , 1987 .

[12]  Stanislaw H. Zak,et al.  Combined observer-controller synthesis for uncertain dynamical systems with applications , 1988, IEEE Trans. Syst. Man Cybern..

[13]  Y. Chen Adaptive robust observers for non-linear uncertain systems , 1990 .

[14]  B. Walcott Nonlinear Output Stabilization of Uncertain Systems , 1990, 1990 American Control Conference.

[15]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[16]  D. Dawson,et al.  Continuous state feedback control guaranteeing exponential stability for uncertain dynamical systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.