论文信息 - Decoupling of square linear systems with delays

Decoupling of square linear systems with delays

The aim of this paper is to exhibit matricial necessary and sufficient conditions for the decoupling problem of linear systems with commensurate delays, under static nonpredictive and stable state feedbacks. A "matrix" approach is used which is similar to the Falb-Wolovich one for systems without delay. The conditions obtained here are quite simple, easily computable, and less restrictive than the previous ones. Moreover, we give the only possible design of the physically realizable control law that satisfies the problem.

Olivier Sename | Jean-François Lafay

[1] G. Conte,et al. Noninteracting control problems for delay-differential systems via systems over rings , 1997 .

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

[3] Elmer G. Gilbert,et al. The Decoupling of Multivariable Systems by State Feedback , 1969 .

[4] A. M. Perdon,et al. The decoupling problem for systems over a ring , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[5] A. Stephen Morse. Ring models for delay-differential systems , 1976, Autom..

[6] Olivier Sename,et al. Decoupling without prediction of linear systems with delays: a structural approach , 1995 .

[7] Eduardo Sontag. Linear Systems over Commutative Rings. A Survey , 1976 .

[8] Rabah Rabah,et al. Structure at infinity, model matching and disturbance rejection for linear systems with delays , 1993, Kybernetika.

[9] J. Descusse,et al. Solution to Morgan's problem , 1988 .

[10] E. Kamen. Lectures on algebraic system theory: Linear systems over rings , 1978 .

[11] S. Tzafestas,et al. On the decoupling of multivariable control systems with time delays , 1973 .

[12] Z. Rekasius,et al. Decoupling without prediction of systems with delays , 1977 .

[13] M. Hautus,et al. Decoupling of Multivariable Control Systems over Unique Factorization Domains , 1984 .