论文信息 - A version of Hautus' test for tandem connection of linear systems

A version of Hautus' test for tandem connection of linear systems

In this note, we consider systems which can be decomposed as a cascade connection of linear subsystems. The second subsystem is assumed to have the controller canonical form. The main result is a version of Hautus' test, which allows us to check controllability and stabilizability properties of these systems by means of reduced-order rank computations. >

Andrea Bacciotti | G. Beccari | A. Bacciotti | G. Beccari

[1] F. Callier,et al. Necessary and sufficient conditions for the complete controllability and observability of systems in series using the coprime factorization of a rational matrix , 1975 .

[2] Andrea Bacciotti,et al. Linear stabilization of nonlinear cascade systems , 1993, Math. Control. Signals Syst..

[3] M. Fahmy,et al. Controllability of tandem-connected systems , 1972 .

[4] Luciano Pandolfi,et al. Generalized control systems, boundary control systems, and delayed control systems , 1990, Math. Control. Signals Syst..

[5] C. Desoer,et al. Controlability and observability of composite systems , 1967, IEEE Transactions on Automatic Control.

[6] E. Gilbert. Controllability and Observability in Multivariable Control Systems , 1963 .

[7] P. Kokotovic,et al. The peaking phenomenon and the global stabilization of nonlinear systems , 1991 .

[8] P. Kokotovic,et al. Global stabilization of partially linear composite systems , 1990 .

[9] L. Dai. Control problem for linear systems with input derivatives control , 1988 .

[10] Eduardo D. Sontag,et al. Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .

[11] W. A. Wolovich,et al. Composite system controllability and observability , 1974, Autom..