Parametric robust H2 control

H2-control with structured controllers is discussed, and a way to enhance the robustness of the design with respect to real uncertain parameters is proposed.

[1]  G. Stein,et al.  Robustness with observers , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[2]  Ali Saberi,et al.  Loop Transfer Recovery: Analysis and Design , 1993 .

[3]  M. Morari,et al.  Computational complexity of μ calculation , 1993 .

[4]  Svatopluk Poljak,et al.  Checking robust nonsingularity is NP-hard , 1993, Math. Control. Signals Syst..

[5]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[6]  Pierre Apkarian,et al.  Robustesse et commande optimale , 1999 .

[7]  Ben M. Chen,et al.  Loop Transfer Recovery , 1993 .

[8]  Pierre Apkarian,et al.  Time domain constrained H∞‐synthesis , 2011 .

[9]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[10]  Huibert Kwakernaak,et al.  Optimal low-sensitivity linear feedback systems , 1969, Autom..

[11]  M. Morari,et al.  Computational complexity of μ calculation , 1994, IEEE Trans. Autom. Control..

[12]  Ekkehard W. Sachs,et al.  Computational Design of Optimal Output Feedback Controllers , 1997, SIAM J. Optim..

[13]  John Doyle,et al.  Structured uncertainty in control system design , 1985, 1985 24th IEEE Conference on Decision and Control.

[14]  John C. Doyle,et al.  Guaranteed margins for LQG regulators , 1978 .

[15]  P. Khargonekar,et al.  STATESPACE SOLUTIONS TO STANDARD 2 H AND H? CONTROL PROBLEMS , 1989 .

[16]  Bengt Lennartson,et al.  Nonconservative Robust Control: Optimized and Constrained Sensitivity Functions , 2009, IEEE Transactions on Control Systems Technology.

[17]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[18]  Richard D. Braatz,et al.  Computational Complexity of , 2007 .

[19]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[20]  James Demmel,et al.  The Componentwise Distance to the Nearest Singular Matrix , 1992, SIAM J. Matrix Anal. Appl..