Remarks on finite gain stabilizability of linear systems subject to input saturation

This paper deals with (global) finite-gain input/output stabilization of linear systems with saturated controls. For a class of neutrally stable systems, it is shown that the feedback law suggested by the passivity approach indeed provides stability, with respect to every L/sup P/ norm. Explicit bounds on closed-loop gains are obtained, and they are related to the norms for the respective systems without saturation.<<ETX>>

[1]  Eduardo Sontag,et al.  Nonlinear output feedback design for linear systems with saturating controls , 1990, 29th IEEE Conference on Decision and Control.

[2]  D. Hill,et al.  Dissipative nonlinear systems: basic properties and stability analysis , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[3]  A. Schaft.  L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control , 1992 .

[4]  Jan C. Willems,et al.  The Analysis of Feedback Systems , 1971 .

[5]  Tryphon T. Georgiou,et al.  The parallel projection operators of a nonlinear feedback system , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[6]  Eduardo Sontag.  Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[7]  Eduardo D. Sontag,et al.  Stabilization of Linear Systems with Bounded Controls , 1992 .

[8]  J. Tsinias.  Sontag's “input to state stability condition” and global stabilization using state detection , 1993 .

[9]  Stephen P. Boyd,et al.  Linear controller design: limits of performance , 1991 .

[10]  Marshall Slemrod.  Feedback stabilization of a linear control system in Hilbert space with ana priori bounded control , 1989, Math. Control. Signals Syst..

[11]  A. Teel.  Global stabilization and restricted tracking for multiple integrators with bounded controls , 1992 .

[12]  M. L. J. Hautus,et al.  (A, B)-invariant and stabilizability subspaces, a frequency domain description , 1980, Autom..

[13]  Per-Olof Gutman,et al.  A new design of constrained controllers for linear systems , 1985, IEEE Transactions on Automatic Control.

[14]  H. Sussmann,et al.  On the stabilizability of multiple integrators by means of bounded feedback controls , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[15]  Per Hagander,et al.  A new design of constrained controllers for linear systems , 1982, 1982 21st IEEE Conference on Decision and Control.