Generalized ℓ2 synthesis

A framework for optimal controller design with generalized l2 objectives is presented. The allowable disturbances are constrained to be in a pre-specified set; the design objective is to ensure that the resulting output errors do not belong to another pre-specified set. The solution takes the form of an affine matrix inequality (AMI), which is both a necessary and sufficient condition for the posed problem to have a solution. In the simplest case, the resulting optimization reduces to standard ℋ∞ synthesis.

[1]  Fernando Paganini,et al.  Necessary and sufficient conditions for robust H/sub 2/ performance , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[2]  R. D'Andrea,et al.  H/sub /spl infin// optimization with spatial constraints , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[3]  Keat-Choon Goh,et al.  Robust analysis, sectors, and quadratic functionals , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[4]  A. Rantzer,et al.  System analysis via integral quadratic constraints , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[5]  M. Athans,et al.  A multiloop generalization of the circle criterion for stability margin analysis , 1981 .

[6]  R. D'Andrea,et al.  Controller synthesis for plants subject to linear time invariant full structured uncertainty , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[7]  Andrew Packard,et al.  The complex structured singular value , 1993, Autom..

[8]  F. Paganini,et al.  Behavioral approach to robustness analysis , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[9]  R. D'Andrea.  LMI Approach to Mixed H-2 and H-infinity Performance Objective Controller Design , 1996 .

[10]  F. Paganini.  Sets and Constraints in the Analysis Of Uncertain Systems , 1996 .

[11]  Diederich Hinrichsen,et al.  Control of Uncertain Systems , 1990 .

[12]  F. Paganini.  A set-based approach for white noise modeling , 1996, IEEE Trans. Autom. Control..

[13]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

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

[15]  A. Packard.  Gain scheduling via linear fractional transformations , 1994 .

[16]  R. D’Andrea.  Necessary and sufficient conditions for robust gain scheduling , 1996 .

[17]  H. Latchman,et al.  Necessary and sufficient stability criterion for systems with structured uncertainties: the major principal direction alignment principle , 1985 .

[18]  P. M. Young,et al.  Robustness analysis for full-structured uncertainties , 1996, Proceedings of 35th IEEE Conference on Decision and Control.