On the continuity and incremental-gain properties of certain saturated linear feedback loops

This paper discusses various continuity and incremental-gain properties for neutrally stable linear systems under linear feedback subject to actuator saturation. The results complement the authors' previous ones, which applied to the same class of problems and provided finite-gain stability.<<ETX>>

[1]  Tryphon T. Georgiou,et al.  Metric uncertainty and nonlinear feedback stabilization , 1994 .

[2]  Andrew R. Teel,et al.  Simultaneous L p -stabilization and internal stabilization of linear systems subject to input saturation—state feedback case , 1995 .

[3]  Eduardo Sontag,et al.  On Finite-Gain Stabilizability of Linear Systems Subject to Input Saturation , 1996 .

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

[5]  Eduardo Sontag,et al.  A general result on the stabilization of linear systems using bounded controls , 1994, IEEE Trans. Autom. Control..

[6]  G. Zames.  On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .

[7]  Y. Yasuda,et al.  On the Input-Output Stability of Linear Time-Varying Systems , 1980 .

[8]  Eduardo D. Sontag,et al.  A general result on the stabilization of linear systems using bounded controls , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[9]  Eduardo D. Sontag,et al.  Remarks on finite gain stabilizability of linear systems subject to input saturation , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[10]  Tryphon T. Georgiou.  Differential stability and robust control of nonlinear systems , 1993, Math. Control. Signals Syst..

[11]  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.

[12]  Eduardo D. Sontag,et al.  Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .

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

[14]  Andrew R. Teel,et al.  Simultaneous L/sub p/-stabilization and internal stabilization of linear systems subject to input saturation - state feedback case , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[15]  Tryphon T. Georgiou,et al.  Differential stability and robust control of nonlinear systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[16]  Eduardo D. Sontag,et al.  On the continuity and incremental‐gain properties of certain saturated linear feedback loops , 1995 .

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