Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturation

Output feedback controllers for disturbance attenuation of linear systems with constraints on inputs are studied. The constraints are limited actuator capacity as well as limits on the actuator rates. The main features include guaranteed performance levels that depend on both actuator magnitude and rate limits, and controllers that operate at, or close to, maximum actuator capacity. The controllers have a structure similar to those used in the linear parameter varying (LPV) approach. Sufficient conditions for finding appropriate nonlinear control laws are expressed in terms of a convex search.

[1]  Sophie Tarbouriech,et al.  Intelligent anti‐windup for systems with input magnitude saturation , 1998 .

[2]  Ali Saberi,et al.  A Semi-Global Low-and-High Gain Design Technique for Linear Systems with Input Saturation - Stabiliz , 1993 .

[3]  Andrew R. Teel,et al.  Control of linear systems with saturating actuators , 1996 .

[4]  D. Bernstein,et al.  A chronological bibliography on saturating actuators , 1995 .

[5]  Manfred Morari,et al.  Robust control of processes subject to saturation nonlinearities , 1990 .

[6]  Tetsuya Iwasaki,et al.  All controllers for the general H∞ control problem: LMI existence conditions and state space formulas , 1994, Autom..

[7]  Faryar Jabbari.  Output feedback controllers for systems with structured uncertainty , 1997, IEEE Trans. Autom. Control..

[8]  Zongli Lin.  Semi-global stabilization of linear systems with position and rate limited actuators , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[9]  Prodromos Daoutidis,et al.  An Anti-Windup Design for Linear Systems with Input Saturation , 1998, Autom..

[10]  Vladimir A. Yakubovich,et al.  Linear Matrix Inequalities in System and Control Theory (S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan) , 1995, SIAM Rev..

[11]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

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

[13]  Faryar Jabbari,et al.  Disturbance attenuation for systems with input saturation: An LMI approach , 1999, IEEE Trans. Autom. Control..

[14]  Dennis S. Bernstein,et al.  Dynamic output feedback compensation for linear systems with independent amplitude and rate saturations , 1997 .

[15]  K. T. Tan,et al.  Linear systems with state and control constraints: the theory and application of maximal output admissible sets , 1991 .