On achieving L p (ℓp) performance with global internal stability for linear plants with saturating actuators

We show that for both continuous-time and discrete-time critically unstable linear systems with saturating actuators one can not simultaneously achieve the global internal stabilization and the global finite-gain L/sub p/ (l/sub p/) performance whenever the external input (disturbance) is not input-additive. However, one can achieve the global internal stabilization and global L/sub p/ (l/sub p/) stabilization (without finite-gain) for any p/spl isin/[1:/spl infin/).

[1]  Andrew R. Teel,et al.  The almost disturbance decoupling problem with internal stability for linear systems subject to input saturation - state feedback case , 1996, Autom..

[2]  A. Megretski,et al.  L 2 Bibo Output Feedback Stabilization With Saturated Control , 1996 .

[3]  Ping Hou,et al.  Simultaneous External and Internal Stabilization for Continuous and Discrete-Time Critically Unstable Linear Systems with Saturating Actuators , 1998, Autom..

[4]  Z. Lin,et al.  On l/sub p/-stabilization of strictly unstable discrete-time linear systems with saturating actuators , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

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

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

[7]  Ping Hou,et al.  On simultaneous global external and global internal stabilization of critically unstable linear systems with saturating actuators , 2000, IEEE Trans. Autom. Control..

[8]  Zongli Lin,et al.  Finite gain stabilization of discrete-time linear systems subject to actuator saturation , 2000, Autom..

[9]  Zongli Lin,et al.  Some new results on finite gain l/sub p/ stabilization of discrete-time linear systems subject to actuator saturation , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[10]  Ping Hou,et al.  On lp-stabilization of strictly unstable discrete-time linear systems with saturating actuators , 1998 .

[11]  Ping Hou,et al.  Simultaneous external and internal stabilization for continuous and discrete-time critically unstable linear systems with saturating actuators , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).