Open-Loop Decoupling of MIMO Plants

The complete set of decoupled forms of a MIMO plant P (which might be non-square and may have unstable pole-zero coincidences) achievable using open-loop precompensation is obtained in terms of certain multiplicities of the poles and zeros of P. This approach, which also yields the precompensator directly, is much simpler than the methods available.

[1]  Qing-Guo Wang,et al.  Transfer function matrix approach to decoupling problem with stability , 2002, Syst. Control. Lett..

[2]  Michel Malabre,et al.  Simultaneous disturbance rejection and regular row by row decoupling with stability: a geometric approach , 1995, IEEE Trans. Autom. Control..

[3]  Pramod P. Khargonekar,et al.  Decoupling of linear systems by dynamic output feedback , 1984, Mathematical systems theory.

[4]  Thomas Kailath,et al.  Linear Systems , 1980 .

[5]  C. Desoer,et al.  Decoupling linear multiinput multioutput plants by dynamic output feedback: An algebraic theory , 1986 .

[6]  Brian D. O. Anderson,et al.  Triangularization technique for the design of multivariable control systems , 1978 .

[7]  Qing-Guo Wang,et al.  Block decoupling with stability by unity output feedback - Solution and performance limitations, , 1993, Autom..

[8]  Ching-An Lin.  Necessary and sufficient conditions for existence of decoupling controllers , 1997, IEEE Trans. Autom. Control..

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

[10]  Chang-Ming Wu,et al.  Block-decoupling linear multivariable systems: necessary and sufficient conditions , 1998, Autom..

[11]  Jacques L. Willems.  Time-varying feedback for the stabilization of fixed modes in decentralized control systems , 1989, Autom..

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

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

[14]  A. Linnemann,et al.  Decoupling by precompensation while maintaining stabilizability , 1993, IEEE Trans. Autom. Control..

[15]  Ching-An Lin,et al.  Stabilization, parametrization, and decoupling controller design for linear multivariable systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[16]  A. Bülent Özgüler,et al.  Linear multichannel control: a system matrix approach , 1994 .

[17]  Ching-An Lin,et al.  Stabilization, parameterization, and decoupling controller design for linear multivariable systems , 1993, IEEE Trans. Autom. Control..

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

[19]  A. Gundes.  Parameterization of decoupling controllers in the unity-feedback system , 1992 .

[20]  Javad Lavaei,et al.  Stabilization of decentralized control systems by means of periodic feedback , 2008, Autom..