Block decoupling with stability by unity output feedback - Solution and performance limitations,

Abstract The block decoupling problem with stability using unity output feedback for possibly non-square plants of full row rank is considered. A necessary and sufficient condition for solvability of this problem is given, and the set of all compensators solving the problem is characterized. Previous results on the diagonal decoupling problem for square plants are thus generalized. Moreover, a class of plants is specified where decoupling does not impose additional performance limitations, as compared with a synthesis without decoupling. Quite general performance measures involving the sensitivity function and the complementary sensitivity function are considered, including weighted H ∞ - and H 2 -norms.

[1]  R. Sivan,et al.  On the robustness of multivariable linear feedback systems , 1985 .

[2]  Jr. B. Morgan.  The synthesis of linear multivariable systems by state-variable feedback , 1964 .

[3]  Ching-An Lin,et al.  Decoupling Controller Design for Linear Multivariable Plants , 1990, 1990 American Control Conference.

[4]  M. Heymann,et al.  Linear feedback decoupling--Transfer function analysis , 1983 .

[5]  William A. Wolovich,et al.  Skew prime polynomial matrices , 1978 .

[6]  Vladimír Kučera.  Algebraic approach to discrete linear control , 1975 .

[7]  P. Falb,et al.  Decoupling in the design and synthesis of multivariable control systems , 1967, IEEE Transactions on Automatic Control.

[8]  T. Koussiouris,et al.  A frequency domain approach to the block decoupling problem|II. Pole assignment while block decoupling a minimal system by state feedback and a constant non-singular input transformation and the observability of the block decoupled system , 1980 .

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

[10]  Qing-Guo Wang,et al.  Decoupling with internal stability for unity output feedback systems , 1992, Autom..

[11]  A. Vardulakis.  Internal stabilization and decoupling in linear multivariable systems by unity output feedback compensation , 1987 .

[12]  Youbin Peng.  A general decoupling precompensator for linear multivariable systems with application to adaptive control , 1990 .

[13]  Dante C. Youla,et al.  Modern Wiener-Hopf Design of Optimal Controllers. Part I , 1976 .

[14]  A. Linnemann,et al.  Decoupling by precompensation while maintaining stabilizability , 1990, 29th IEEE Conference on Decision and Control.

[15]  M. Safonov,et al.  Multivariable stability margin optimization with decoupling and output regulation , 1982, 1982 21st IEEE Conference on Decision and Control.

[16]  Brian D. O. Anderson,et al.  On multivariable pole- zero cancellations and the stability of feedback systems , 1981 .