Indirect adaptive state feedback control of linearly parametrized nonlinear systems

Two indirect adaptive linearizing controllers are proposed, in continuous time, for the class of nonlinear systems which are linearly parametrized and which can be linearized by state feedback through a parametrized diffeomorphism. In each case the stability of the closed loop is analysed in detail. It is also shown how these control laws can be extended to related situations, i.e. input-output feedback linearization and nonlinear parametrizations.

[1]  G. P. Szegö,et al.  Stability theory of dynamical systems , 1970 .

[2]  Denis Dochain,et al.  Adaptive identification and control algorithms for nonlinear bacterial growth systems , 1984, Autom..

[3]  Georges Bastin,et al.  Lyapunov Design of an Adaptive External Linearization Feedback Control for Manipulators , 1986 .

[4]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987 .

[5]  G. Bastin,et al.  A discrete time self tuning computed torque controller for robotic manipulators , 1987, 26th IEEE Conference on Decision and Control.

[6]  David G. Taylor.  Parameter Adaptive Control for a Class of Nonlinear Systems , 1987 .

[7]  David G. Taylor,et al.  Adaptive Regulation of Nonlinear Systems with Unmodeled Dynamics , 1988, 1988 American Control Conference.

[8]  K. Nam,et al.  A model reference adaptive control scheme for pure-feedback nonlinear systems , 1988 .

[9]  D. Dochain,et al.  Adaptive control of anaerobic digestion processes—a pilot‐scale application , 1988, Biotechnology and bioengineering.

[10]  Graham C. Goodwin,et al.  Adaptive computed torque control for rigid link manipulators , 1986, 1986 25th IEEE Conference on Decision and Control.

[11]  Jean-Jacques E. Slotine,et al.  Adaptive manipulator control: A case study , 1988 .

[12]  I. Kanellakopoulos,et al.  Robustness of Adaptive Nonlinear Control Under an Extended Matching Condition , 1989 .

[13]  A. Isidori,et al.  Adaptive control of linearizable systems , 1989 .

[14]  A.-M. Guillaume,et al.  Discrete Time Adaptive Control for a Class of Nonlinear Continuous Systems , 1989 .