Regulator design with modal insensitivity

This pager considers the problem of Finding a state feedback control law which simultaneously assigns desired eigenvalues and achieves modal insensitivity. Modal insensitivity means that the response mode shapes are insensitive to small variations in plant parameters. For the case of distinct eigenvalues, mode shapes that can be made insensitive are completely characterized. A design procedure that does not require coordinate transformations is presented.

[1]  W. Wonham,et al.  Synthesis of multivariable regulators: The internal model principle , 1974 .

[2]  A. Morse,et al.  Decoupling and Pole Assignment in Linear Multivariable Systems: A Geometric Approach , 1970 .

[3]  J. DavisonE.,et al.  Robust control of a general servomechanism problem , 1975 .

[4]  Eliezer Kreindler.  On minimization of trajectory sensitivity , 1968 .

[5]  Jr. B. Morgan.  Sensitivity analysis and synthesis of multivariable systems , 1966 .

[6]  B. Moore.  On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment , 1975 .

[7]  H. Kimura.  A further result on the problem of pole assignment by output feedback , 1977 .

[8]  V. Gourishankar,et al.  Pole assignment with minimum eigenvalue sensitivity to plant parameter variations , 1976 .

[9]  V. Gourishankar,et al.  Utilization of the design freedom of pole assignment feedback controllers of unrestricted rank , 1976 .

[10]  G. Klein,et al.  Eigenvalue-generalized eigenvector assignment with state feedback , 1977 .

[11]  E. Davison,et al.  Robust control of a general servomechanism problem: The servo compensator , 1975, Autom..

[12]  J. D. Powell,et al.  A design method for minimizing sensitivity to plant parameter variations , 1974 .

[13]  Dale E. Seborg,et al.  Eigenvalue invariance to system parameter variations by eigenvector assignment , 1977 .

[14]  W. Wonham,et al.  The internal model principle for linear multivariable regulators , 1975 .

[15]  J. Pearson,et al.  Robust solutions to linear multivariable control problems , 1974 .