An engineering perspective on nonlinear H∞-control

The focus is on the question whether meaningful practical control problems for nonlinear systems can be expressed and solved in the nonlinear H∞ framework. Approximate I/O-linearization of a realistic chemical reactor, that cannot be I/O-linearized exactly, is given.

[1]  A. Schaft On a state space approach to nonlinear H ∞ control , 1991 .

[2]  J. Helton,et al.  H∞ control for nonlinear systems with output feedback , 1993, IEEE Trans. Autom. Control..

[3]  Alessandro Astolfi,et al.  Robust Control of Nonlinear Systems: An H∞ Approach , 1993 .

[4]  S. Torkel Glad Robustness of nonlinear state feedback - A survey , 1987, Autom..

[5]  Michael Athans,et al.  Optimal Control , 1966 .

[6]  Leonardo Lanari,et al.  Disturbance attenuation and set-point regulation of rigid robots via H/sub /spl infin// control , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[7]  A. Schaft,et al.  Mechanical Nonlinear Control Systems , 1990 .

[8]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[9]  Alberto Isidori,et al.  Approximate Matching of Nonlinear Systems via Nonlinear H∞ methods , 1992 .

[10]  D. Lukes Optimal Regulation of Nonlinear Dynamical Systems , 1969 .

[11]  A. Isidori,et al.  Disturbance attenuation and H/sub infinity /-control via measurement feedback in nonlinear systems , 1992 .

[12]  A. Schaft,et al.  Almost disturbance decoupling for single-input single-output nonlinear systems , 1989 .

[13]  W. Respondek,et al.  Tracking control of nonlinear systems with disturbance attenuation , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[14]  M. Safonov,et al.  Simplifying the H∞ theory via loop-shifting, matrix-pencil and descriptor concepts , 1989 .